Exam 8: Applications of Trigonometry

Draw a sketch to represent the vector. Refer to the vectors pictured here. $Draw a sketch to represent the vector. Refer to the vectors pictured here. - 3 \mathbf { d }$ - $3 \mathbf { d }$

(Multiple Choice)

4.7/5

(43)

Question 321

Determine whether the pair of vectors is orthogonal. - $3 \mathbf { i } - 8 \mathbf { j } , - 8 \mathbf { i } + 3 \mathbf { j }$

(Multiple Choice)

5.0/5

(33)

Question 322

Is the given number z in the Julia set? - $\mathrm { z } = - 0.5 \mathrm { i }$

(Multiple Choice)

4.8/5

(36)

Question 323

Graph the complex number. - $- 2 + 5 i$

(Multiple Choice)

5.0/5

(45)

Question 324

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°. - $( - 2,0 )$

(Multiple Choice)

4.7/5

(38)

Question 325

Find an equivalent equation in rectangular coordinates. - $\mathrm { r } = 2 ( \sin \theta - \cos \theta )$

(Multiple Choice)

4.9/5

(37)

Question 326

Graph the polar equation for θ in [0°, 360°). - $r = 3 ( \cos \theta + \cos 2 \theta )$ $Graph the polar equation for θ in [0°, 360°). - r = 3 ( \cos \theta + \cos 2 \theta )$

(Multiple Choice)

4.8/5

(35)

Question 327

Graph the polar equation for θ in [0°, 360°). - $r = 8 \sin 3 \theta \sin 4 \theta$ $Graph the polar equation for θ in [0°, 360°). - r = 8 \sin 3 \theta \sin 4 \theta$

(Multiple Choice)

4.7/5

(34)

Question 328

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form. - $\frac { 16 \left( \cos 240 ^ { \circ } + i \sin 240 ^ { \circ } \right) } { 4 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) }$

(Multiple Choice)

4.9/5

(38)

Question 329

Give the rectangular coordinates for the point. - $\left( - 5,120 ^ { \circ } \right)$

(Multiple Choice)

4.8/5

(37)

Question 330

Determine the number of triangles ABC possible with the given parts. - $\mathrm { a } = 15 , \mathrm {~b} = 29 , \mathrm {~B} = 92 ^ { \circ }$

(Multiple Choice)

4.9/5

(37)

Question 331

Find the indicated angle or side. Give an exact answer. -Find the measure of angle $\mathrm { A }$ in degrees. $Find the indicated angle or side. Give an exact answer. -Find the measure of angle \mathrm { A } in degrees.$

(Multiple Choice)

4.9/5

(33)

Question 332

Find a rectangular equation for the plane curve defined by the parametric equations. - $x = \sin t , y = 3 \cos t$

(Multiple Choice)

4.9/5

(35)

Question 333

Solve the problem. -A fishing boat leaves port on a bearing of $39 ^ { \circ }$ and travels $10.2 \mathrm { mi }$ . The boat then turns due east and travels $3.9 \mathrm { mi }$ . How far is the fishing boat from port, and what is its bearing from port?

(Multiple Choice)

4.8/5

(37)

Question 334

Solve the problem. -It is $4.7 \mathrm {~km}$ from Lighthouse A to Port B. The bearing of the port from the lighthouse is $\mathrm { N } 73 ^ { \circ } \mathrm { E }$ . A ship has sailed due west from the port and its bearing from the lighthouse is N31 ${ } ^ { \circ } \mathrm { E }$ . How far has the ship sailed from the port? Round to the nearest tenth of a kilometer.

(Multiple Choice)

4.8/5

(37)

Question 335

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate. -

(Multiple Choice)

4.8/5

(32)

Question 336

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. - $\langle \sqrt { 14 } , - 1 \rangle$

(Multiple Choice)

4.7/5

(38)

Question 337

Answer the question. -With respect to what line are the 6 sixth roots of $- 1$ symmetric?

(Multiple Choice)

4.9/5

(35)

Question 338

Find the angle between the pair of vectors to the nearest tenth of a degree. - $\langle 9 , - 9 \rangle , \langle 10 , - 4 \rangle$

(Multiple Choice)

4.9/5

(39)

Question 339

Find the indicated vector. -Let $\mathbf { a } = \langle 1,1 \rangle , \mathbf { b } = \langle - 9 , - 2 \rangle$ . Find $\mathbf { b } - \mathbf { a }$ .

(Multiple Choice)

4.8/5

(34)

Question 340

Showing 321 - 340 of 446

Draw a sketch to represent the vector. Refer to the vectors pictured here. $Draw a sketch to represent the vector. Refer to the vectors pictured here. - 3 \mathbf { d }$ - $3 \mathbf { d }$

Determine whether the pair of vectors is orthogonal. - $3 \mathbf { i } - 8 \mathbf { j } , - 8 \mathbf { i } + 3 \mathbf { j }$

Is the given number z in the Julia set? - $\mathrm { z } = - 0.5 \mathrm { i }$

Graph the complex number. - $- 2 + 5 i$

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°. - $( - 2,0 )$

Find an equivalent equation in rectangular coordinates. - $\mathrm { r } = 2 ( \sin \theta - \cos \theta )$

Graph the polar equation for θ in [0°, 360°). - $r = 3 ( \cos \theta + \cos 2 \theta )$ $Graph the polar equation for θ in [0°, 360°). - r = 3 ( \cos \theta + \cos 2 \theta )$

Graph the polar equation for θ in [0°, 360°). - $r = 8 \sin 3 \theta \sin 4 \theta$ $Graph the polar equation for θ in [0°, 360°). - r = 8 \sin 3 \theta \sin 4 \theta$

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form. - $\frac { 16 \left( \cos 240 ^ { \circ } + i \sin 240 ^ { \circ } \right) } { 4 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) }$

Give the rectangular coordinates for the point. - $\left( - 5,120 ^ { \circ } \right)$

Determine the number of triangles ABC possible with the given parts. - $\mathrm { a } = 15 , \mathrm {~b} = 29 , \mathrm {~B} = 92 ^ { \circ }$

Find the indicated angle or side. Give an exact answer. -Find the measure of angle $\mathrm { A }$ in degrees. $Find the indicated angle or side. Give an exact answer. -Find the measure of angle \mathrm { A } in degrees.$

Find a rectangular equation for the plane curve defined by the parametric equations. - $x = \sin t , y = 3 \cos t$

Solve the problem. -A fishing boat leaves port on a bearing of $39 ^ { \circ }$ and travels $10.2 \mathrm { mi }$ . The boat then turns due east and travels $3.9 \mathrm { mi }$ . How far is the fishing boat from port, and what is its bearing from port?

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate. -

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. - $\langle \sqrt { 14 } , - 1 \rangle$

Answer the question. -With respect to what line are the 6 sixth roots of $- 1$ symmetric?

Find the angle between the pair of vectors to the nearest tenth of a degree. - $\langle 9 , - 9 \rangle , \langle 10 , - 4 \rangle$

Find the indicated vector. -Let $\mathbf { a } = \langle 1,1 \rangle , \mathbf { b } = \langle - 9 , - 2 \rangle$ . Find $\mathbf { b } - \mathbf { a }$ .

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 8: Applications of Trigonometry

Draw a sketch to represent the vector. Refer to the vectors pictured here. - 3d3 \mathbf { d }3d

Determine whether the pair of vectors is orthogonal. - 3i−8j,−8i+3j3 \mathbf { i } - 8 \mathbf { j } , - 8 \mathbf { i } + 3 \mathbf { j }3i−8j,−8i+3j

Is the given number z in the Julia set? - z=−0.5i\mathrm { z } = - 0.5 \mathrm { i }z=−0.5i

Graph the complex number. - −2+5i- 2 + 5 i−2+5i

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°. - (−2,0)( - 2,0 )(−2,0)

Find an equivalent equation in rectangular coordinates. - r=2(sin⁡θ−cos⁡θ)\mathrm { r } = 2 ( \sin \theta - \cos \theta )r=2(sinθ−cosθ)

Graph the polar equation for θ in [0°, 360°). - r=3(cos⁡θ+cos⁡2θ)r = 3 ( \cos \theta + \cos 2 \theta )r=3(cosθ+cos2θ)

Graph the polar equation for θ in [0°, 360°). - r=8sin⁡3θsin⁡4θr = 8 \sin 3 \theta \sin 4 \thetar=8sin3θsin4θ

Give the rectangular coordinates for the point. - (−5,120∘)\left( - 5,120 ^ { \circ } \right)(−5,120∘)

Determine the number of triangles ABC possible with the given parts. - a=15, b=29, B=92∘\mathrm { a } = 15 , \mathrm {~b} = 29 , \mathrm {~B} = 92 ^ { \circ }a=15, b=29, B=92∘

Find the indicated angle or side. Give an exact answer. -Find the measure of angle A\mathrm { A }A in degrees.

Find a rectangular equation for the plane curve defined by the parametric equations. - x=sin⁡t,y=3cos⁡tx = \sin t , y = 3 \cos tx=sint,y=3cost

Solve the problem. -A fishing boat leaves port on a bearing of 39∘39 ^ { \circ }39∘ and travels 10.2mi10.2 \mathrm { mi }10.2mi . The boat then turns due east and travels 3.9mi3.9 \mathrm { mi }3.9mi . How far is the fishing boat from port, and what is its bearing from port?

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate. -

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. - ⟨14,−1⟩\langle \sqrt { 14 } , - 1 \rangle⟨14​,−1⟩

Answer the question. -With respect to what line are the 6 sixth roots of −1- 1−1 symmetric?

Find the angle between the pair of vectors to the nearest tenth of a degree. - ⟨9,−9⟩,⟨10,−4⟩\langle 9 , - 9 \rangle , \langle 10 , - 4 \rangle⟨9,−9⟩,⟨10,−4⟩

Find the indicated vector. -Let a=⟨1,1⟩,b=⟨−9,−2⟩\mathbf { a } = \langle 1,1 \rangle , \mathbf { b } = \langle - 9 , - 2 \ranglea=⟨1,1⟩,b=⟨−9,−2⟩ . Find b−a\mathbf { b } - \mathbf { a }b−a .

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Draw a sketch to represent the vector. Refer to the vectors pictured here. $Draw a sketch to represent the vector. Refer to the vectors pictured here. - 3 \mathbf { d }$ - $3 \mathbf { d }$

Determine whether the pair of vectors is orthogonal. - $3 \mathbf { i } - 8 \mathbf { j } , - 8 \mathbf { i } + 3 \mathbf { j }$

Is the given number z in the Julia set? - $\mathrm { z } = - 0.5 \mathrm { i }$

Graph the complex number. - $- 2 + 5 i$

The rectangular coordinates of a point are given. Express the point in polar coordinates with r ≥ 0 and 0° ≤ θ < 360°. - $( - 2,0 )$

Find an equivalent equation in rectangular coordinates. - $\mathrm { r } = 2 ( \sin \theta - \cos \theta )$

Graph the polar equation for θ in [0°, 360°). - $r = 3 ( \cos \theta + \cos 2 \theta )$ $Graph the polar equation for θ in [0°, 360°). - r = 3 ( \cos \theta + \cos 2 \theta )$

Graph the polar equation for θ in [0°, 360°). - $r = 8 \sin 3 \theta \sin 4 \theta$ $Graph the polar equation for θ in [0°, 360°). - r = 8 \sin 3 \theta \sin 4 \theta$

Give the rectangular coordinates for the point. - $\left( - 5,120 ^ { \circ } \right)$

Determine the number of triangles ABC possible with the given parts. - $\mathrm { a } = 15 , \mathrm {~b} = 29 , \mathrm {~B} = 92 ^ { \circ }$

Find the indicated angle or side. Give an exact answer. -Find the measure of angle $\mathrm { A }$ in degrees. $Find the indicated angle or side. Give an exact answer. -Find the measure of angle \mathrm { A } in degrees.$

Find a rectangular equation for the plane curve defined by the parametric equations. - $x = \sin t , y = 3 \cos t$

Solve the problem. -A fishing boat leaves port on a bearing of $39 ^ { \circ }$ and travels $10.2 \mathrm { mi }$ . The boat then turns due east and travels $3.9 \mathrm { mi }$ . How far is the fishing boat from port, and what is its bearing from port?

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. - $\langle \sqrt { 14 } , - 1 \rangle$

Answer the question. -With respect to what line are the 6 sixth roots of $- 1$ symmetric?

Find the angle between the pair of vectors to the nearest tenth of a degree. - $\langle 9 , - 9 \rangle , \langle 10 , - 4 \rangle$

Find the indicated vector. -Let $\mathbf { a } = \langle 1,1 \rangle , \mathbf { b } = \langle - 9 , - 2 \rangle$ . Find $\mathbf { b } - \mathbf { a }$ .