Question 1

Find $\sec \theta$ 
and $\csc \theta$

Accepted Answer

The answer of Find $\sec \theta$ 
and $\csc \theta$ 
...

Question 2

Land on a small Caribbean island is valued at $\$ 45$ per square foot. What is the value of a triangular lot with sides of lengths $80$ ft, $50$ ft, and $120$ ft?

Accepted Answer

@#LAT-DLM& @#LAT-DLM& 
, so @#LAT-DLM& f

Question 3

Solve the triangle. $a = 72.5 , \quad \angle B = 60 ^ { \circ } , \quad \angle C = 82 ^ { \circ }$

Accepted Answer

The answer of Solve the triangle. \(a = 72.5 ,...

Question 4

Find the obtuse angle that is formed by the line $y - x + 1 = 0$ 
and the x-axis.

Accepted Answer

The answer of Find the obtuse angle that is formed...

Question 5

Find the radian measures that correspond to the degree measures $- 300 ^ { \circ }$ 
and $135 ^ { \circ }$ .

Accepted Answer

The answer of Find the radian measures that correspond to...

Question 6

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. $a = 99 , \quad b = 81 , \quad \angle A = 135 ^ { \circ }$

Accepted Answer

The answer of Use the Law of Sines to solve...

Question 7

Find an angle between $0$ and $2 \pi$ that is coterminal with each angle given. 
a. $\frac { 17 \pi } { 2 }$ 
b. $- \frac { 15 \pi } { 4 }$ 
c. $85 \pi$

Accepted Answer

The answer of Find an angle between $0$ and \(2...

Question 8

Find the side labeled x.

Accepted Answer

The answer of Find the side labeled x.  ...

Question 9

Find the exact value. $\sin ( - 450 )$

Accepted Answer

A)  $- 1$ 
B)  $1$ 
C)  $0$ 
D)  $2$ 
E)  $\text { undefined }$ 
A)  $- 1$ 
B)  $1$ 
C)  $0$ 
D)  $2$ 
E)  $\text { undefined }$

Question 10

Find the values of $\sin \theta$ and $\tan \theta$ If the point $( - 3,4 )$Is on the terminal side of $\theta$

Accepted Answer

A)  $\sin \theta = \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$ 
B)  $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 3 } { 4 }$ 
C)  $\sin \theta = - \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$ 
D)  $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$ 
E)  $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 5 } { 3 }$ 
A)  $\sin \theta = \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$ 
B)  $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 3 } { 4 }$ 
C)  $\sin \theta = - \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$ 
D)  $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$ 
E)  $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 5 } { 3 }$

Question 11

How many revolutions will a bicycle wheel of diameter $25$ inches make as the bicycle travels a distance of $3$Miles?

Accepted Answer

A)  $2,193$ 
B)  $1,760$ 
C)  $2,421$ 
D)  $3,806$ 
E)  $5,280$ 
A)  $2,193$ 
B)  $1,760$ 
C)  $2,421$ 
D)  $3,806$ 
E)  $5,280$

Question 12

Find the measure of the central angle $\theta$ 
in a circle of radius 6 ft if the angle is subtended by an arc of length 7 ft.

Accepted Answer

The answer of Find the measure of the central angle...

Question 13

Find $\sec \theta$ , and $\csc \theta$ given that $\cot \theta = - 4 / 3$ and $\operatorname { sect } > 0$ .

Accepted Answer

The answer of Find $\sec \theta$ , and $\csc \theta$...

Question 14

Sketch the triangle given by $\angle A = 23 ^ { \circ }$ , $\angle B = 78 ^ { \circ }$ , $c = 88$ , and solve it using the Law of Sines.

Accepted Answer

The answer of Sketch the triangle given by \(\angle A...

Question 15

Find the reference angle for the given angle. $- 202 ^ { \circ }$

Accepted Answer

A)  $22 ^ { \circ }$ 
B)  $58 ^ { \circ }$ 
C)  $158 ^ { \circ }$ 
D)  $52 ^ { \circ }$ 
E)  $82 ^ { \circ }$ 
A)  $22 ^ { \circ }$ 
B)  $58 ^ { \circ }$ 
C)  $158 ^ { \circ }$ 
D)  $52 ^ { \circ }$ 
E)  $82 ^ { \circ }$

Question 16

Find $\sec \theta$ , and $\csc \theta$ 
given that $\cot \theta = - \frac { 4 } { 3 }$ and $\sec \theta > 0$ .

Accepted Answer

The answer of Find $\sec \theta$ , and $\csc \theta$...

Question 17

How many revolutions will a bicycle wheel of diameter $25$ inches make as the bicycle travels a distance of $3$ miles?

Accepted Answer

In one revolution, t

Question 18

Solve for $x$  correct to one decimal place.

Accepted Answer

The answer of Solve for $x$  correct to one...

Question 19

A surveyor stands at a point $1.5$  miles away from the base of a radio tower. He measures the angle of elevation to the top of the tower to be $7.5 ^ { \circ }$  . Find the height of the tower to the nearest foot.

Accepted Answer

The answer of A surveyor stands at a point $1.5$...

Question 20

A 76-ft tree casts a shadow that is 100 ft long. What is the angle of elevation of the sun?

Accepted Answer

A)  $36.23 ^ { \circ }$ 
B)  $25.35 ^ { \circ }$ 
C)  $23.37 ^ { \circ }$ 
D)  $47.34 ^ { \circ }$ 
E) none of these 
A)  $36.23 ^ { \circ }$ 
B)  $25.35 ^ { \circ }$ 
C)  $23.37 ^ { \circ }$ 
D)  $47.34 ^ { \circ }$ 
E) none of these

Find $\sec \theta$ and $\csc \theta$ $Find \sec \theta and \csc \theta$

Land on a small Caribbean island is valued at $\$ 45$ per square foot. What is the value of a triangular lot with sides of lengths $80$ ft, $50$ ft, and $120$ ft?

Solve the triangle. $a = 72.5 , \quad \angle B = 60 ^ { \circ } , \quad \angle C = 82 ^ { \circ }$

Find the obtuse angle that is formed by the line $y - x + 1 = 0$ and the x-axis.

Find the radian measures that correspond to the degree measures $- 300 ^ { \circ }$ and $135 ^ { \circ }$ .

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. $a = 99 , \quad b = 81 , \quad \angle A = 135 ^ { \circ }$

Find an angle between $0$ and $2 \pi$ that is coterminal with each angle given. a. $\frac { 17 \pi } { 2 }$ b. $- \frac { 15 \pi } { 4 }$ c. $85 \pi$

Find the side labeled x.

Find the exact value. $\sin ( - 450 )$

Find the values of $\sin \theta$ and $\tan \theta$ If the point $( - 3,4 )$ Is on the terminal side of $\theta$

How many revolutions will a bicycle wheel of diameter $25$ inches make as the bicycle travels a distance of $3$ Miles?

Find the measure of the central angle $\theta$ in a circle of radius 6 ft if the angle is subtended by an arc of length 7 ft.

Find $\sec \theta$ , and $\csc \theta$ given that $\cot \theta = - 4 / 3$ and $\operatorname { sect } > 0$ .

Sketch the triangle given by $\angle A = 23 ^ { \circ }$ , $\angle B = 78 ^ { \circ }$ , $c = 88$ , and solve it using the Law of Sines.

Find the reference angle for the given angle. $- 202 ^ { \circ }$

Find $\sec \theta$ , and $\csc \theta$ given that $\cot \theta = - \frac { 4 } { 3 }$ and $\sec \theta > 0$ .

How many revolutions will a bicycle wheel of diameter $25$ inches make as the bicycle travels a distance of $3$ miles?

Solve for $x$ correct to one decimal place.

A surveyor stands at a point $1.5$ miles away from the base of a radio tower. He measures the angle of elevation to the top of the tower to be $7.5 ^ { \circ }$ . Find the height of the tower to the nearest foot.

A 76-ft tree casts a shadow that is 100 ft long. What is the angle of elevation of the sun?

Equations and Graphs

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences and Series

Counting and Probability

Filters

Exam 6: Trigonometric Functions: Unit Circle Approach

Find sec⁡θ\sec \thetasecθ and csc⁡θ\csc \thetacscθ

Land on a small Caribbean island is valued at $45\$ 45$45 per square foot. What is the value of a triangular lot with sides of lengths 808080 ft, 505050 ft, and 120120120 ft?

Solve the triangle. a=72.5,∠B=60∘,∠C=82∘a = 72.5 , \quad \angle B = 60 ^ { \circ } , \quad \angle C = 82 ^ { \circ }a=72.5,∠B=60∘,∠C=82∘

Find the obtuse angle that is formed by the line y−x+1=0y - x + 1 = 0y−x+1=0 and the x-axis.

Find the radian measures that correspond to the degree measures −300∘- 300 ^ { \circ }−300∘ and 135∘135 ^ { \circ }135∘ .

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a=99,b=81,∠A=135∘a = 99 , \quad b = 81 , \quad \angle A = 135 ^ { \circ }a=99,b=81,∠A=135∘

Find an angle between 000 and 2π2 \pi2π that is coterminal with each angle given. a. 17π2\frac { 17 \pi } { 2 }217π​ b. −15π4- \frac { 15 \pi } { 4 }−415π​ c. 85π85 \pi85π

Find the side labeled x.

Find the exact value. sin⁡(−450)\sin ( - 450 )sin(−450)

Find the values of sin⁡θ\sin \thetasinθ and tan⁡θ\tan \thetatanθ If the point (−3,4)( - 3,4 )(−3,4) Is on the terminal side of θ\thetaθ

How many revolutions will a bicycle wheel of diameter 252525 inches make as the bicycle travels a distance of 333 Miles?

Find the measure of the central angle θ\thetaθ in a circle of radius 6 ft if the angle is subtended by an arc of length 7 ft.

Find sec⁡θ\sec \thetasecθ , and csc⁡θ\csc \thetacscθ given that cot⁡θ=−4/3\cot \theta = - 4 / 3cotθ=−4/3 and sect⁡>0\operatorname { sect } > 0sect>0 .

Sketch the triangle given by ∠A=23∘\angle A = 23 ^ { \circ }∠A=23∘ , ∠B=78∘\angle B = 78 ^ { \circ }∠B=78∘ , c=88c = 88c=88 , and solve it using the Law of Sines.

Find the reference angle for the given angle. −202∘- 202 ^ { \circ }−202∘

Find sec⁡θ\sec \thetasecθ , and csc⁡θ\csc \thetacscθ given that cot⁡θ=−43\cot \theta = - \frac { 4 } { 3 }cotθ=−34​ and sec⁡θ>0\sec \theta > 0secθ>0 .

How many revolutions will a bicycle wheel of diameter 252525 inches make as the bicycle travels a distance of 333 miles?

Solve for xxx correct to one decimal place.

A surveyor stands at a point 1.51.51.5 miles away from the base of a radio tower. He measures the angle of elevation to the top of the tower to be 7.5∘7.5 ^ { \circ }7.5∘ . Find the height of the tower to the nearest foot.

A 76-ft tree casts a shadow that is 100 ft long. What is the angle of elevation of the sun?

Equations and Graphs

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences and Series

Counting and Probability

Filters

Find $\sec \theta$ and $\csc \theta$ $Find \sec \theta and \csc \theta$

Land on a small Caribbean island is valued at $\$ 45$ per square foot. What is the value of a triangular lot with sides of lengths $80$ ft, $50$ ft, and $120$ ft?

Solve the triangle. $a = 72.5 , \quad \angle B = 60 ^ { \circ } , \quad \angle C = 82 ^ { \circ }$

Find the obtuse angle that is formed by the line $y - x + 1 = 0$ and the x-axis.

Find the radian measures that correspond to the degree measures $- 300 ^ { \circ }$ and $135 ^ { \circ }$ .

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. $a = 99 , \quad b = 81 , \quad \angle A = 135 ^ { \circ }$

Find an angle between $0$ and $2 \pi$ that is coterminal with each angle given. a. $\frac { 17 \pi } { 2 }$ b. $- \frac { 15 \pi } { 4 }$ c. $85 \pi$

Find the exact value. $\sin ( - 450 )$

Find the values of $\sin \theta$ and $\tan \theta$ If the point $( - 3,4 )$ Is on the terminal side of $\theta$

How many revolutions will a bicycle wheel of diameter $25$ inches make as the bicycle travels a distance of $3$ Miles?

Find the measure of the central angle $\theta$ in a circle of radius 6 ft if the angle is subtended by an arc of length 7 ft.

Find $\sec \theta$ , and $\csc \theta$ given that $\cot \theta = - 4 / 3$ and $\operatorname { sect } > 0$ .

Sketch the triangle given by $\angle A = 23 ^ { \circ }$ , $\angle B = 78 ^ { \circ }$ , $c = 88$ , and solve it using the Law of Sines.

Find the reference angle for the given angle. $- 202 ^ { \circ }$

Find $\sec \theta$ , and $\csc \theta$ given that $\cot \theta = - \frac { 4 } { 3 }$ and $\sec \theta > 0$ .

How many revolutions will a bicycle wheel of diameter $25$ inches make as the bicycle travels a distance of $3$ miles?

Solve for $x$ correct to one decimal place.

A surveyor stands at a point $1.5$ miles away from the base of a radio tower. He measures the angle of elevation to the top of the tower to be $7.5 ^ { \circ }$ . Find the height of the tower to the nearest foot.