Question 1

graph the given function over a two-period interval. Identify asymptotes when applicable
-$y=-\cos 2 x$

Accepted Answer

The answer of graph the given function over a two-period...

Question 2

Use a calculator to approximate the following.
(a) $\tan 145^{\circ} 23^{\prime}$
(b) $\sin 38.251^{\circ}$
(c) $\sec 18.563^{\circ}$

Accepted Answer

The answer of Use a calculator to approximate the following.
(a)...

Question 3

graph the given function over a two-period interval. Identify asymptotes when applicable
-$y=\tan (x+\pi)$

Accepted Answer

The answer of graph the given function over a two-period...

Question 4

To find the height of a fence in a baseball park, a groundskeeper found that the angle of elevation from a point 25.5 meters from the base of the fence is $23^{\circ} 54^{\prime}$. What is the height of the fence?

Accepted Answer

The answer of To find the height of a fence...

Question 5

A jet leaves an airport on a bearing of $\mathrm{S} 29^{\circ} \mathrm{W}$ and travels for 245 miles. It then turns and continues on a bearing of $\mathrm{N} 61^{\circ} \mathrm{W}$ for 506 miles. How far is the jet from the airport?

Accepted Answer

The answer of A jet leaves an airport on a...

Question 6

(a) Convert $-225^{\circ}$ to radians.
(b) Convert $\frac{3 \pi}{10}$ to degrees.

Accepted Answer

The answer of (a) Convert $-225^{\circ}$ to radians.
(b) Convert \(\frac{3...

Question 7

A central angle of a circle with radius 50 centimeters cuts off an arc of 80 centimeters. Find each measure.
(a) The radian measure of the angle.
(b) The area of the sector with this central angle.

Accepted Answer

The answer of A central angle of a circle with...

Question 8

A jet leaves an airport on a bearing of $\mathrm{S} 37^{\circ} \mathrm{E}$ and travels for 324 miles. It then turns and continues on a bearing of $\mathrm{N} 53^{\circ} \mathrm{E}$ for 215 miles. How far is the jet from the airport?

Accepted Answer

The answer of A jet leaves an airport on a...

Question 9

the formula $s(t)=-5 \cos 3 \pi t$ gives the height (in inches) of a weight attached to a spring after $t$ seconds.
-When does the weight reach its maximum height if $t \geq 0$ ?

Accepted Answer

The answer of the formula $s(t)=-5 \cos 3 \pi t$...

Question 10

Find the exact value of $\cot \left(-765^{\circ}\right)$.

Accepted Answer

The answer of Find the exact value of $\cot \left(-765^{\circ}\right)$....

Question 11

Solve the triangle.

Accepted Answer

The answer of Solve the triangle.
 ...

Question 12

If $\sin \theta=\frac{3}{5}$ and $\theta$ is in quadrant II find the values of the other trigonometric functions of $\theta$.

Accepted Answer

The answer of If $\sin \theta=\frac{3}{5}$ and $\theta$ is in...

Question 13

graph the given function over a two-period interval. Identify asymptotes when applicable.
-$y=\tan (x-\pi)$

Accepted Answer

The answer of graph the given function over a two-period...

Question 14

Find the length of an arc intercepted by an angle of $60^{\circ}$ in a circle with radius 15 inches.

Accepted Answer

The answer of Find the length of an arc intercepted...

Question 15

If $(-3,4)$ is on the terminal side of an angle $\theta$ in standard position, find $\sin \theta, \cos \theta$, and $\tan \theta$.

Accepted Answer

The answer of If $(-3,4)$ is on the terminal side...

Question 16

graph the given function over a two-period interval. Identify asymptotes when applicable.
-$y=-\sin 2 x$

Accepted Answer

The answer of graph the given function over a two-period...

Question 17

Use a calculator to approximate the following.
(a) $\sin 29^{\circ} 8^{\prime}$
(b) $\cot 95.598^{\circ}$
(c) $\sec 142.199^{\circ}$

Accepted Answer

The answer of Use a calculator to approximate the following.
(a)...

Question 18

Solve the triangle.

Accepted Answer

The answer of Solve the triangle.
 ...

Question 19

Use a calculator to approximate $\theta$ in the interval $\left[0,90^{\circ}\right]$, if $\sin \theta=0.7313537016$.

Accepted Answer

The answer of Use a calculator to approximate $\theta$ in...

Question 20

If $\csc \theta>0$ and $\sec \theta<0$, in which quadrant does $\theta$ lie?

Accepted Answer

The answer of If $\csc \theta>0$ and $\sec \theta<0$, in...

Exam 8: The Unit Circle and Functions of Trigonometry

graph the given function over a two-period interval. Identify asymptotes when applicable - $y=-\cos 2 x$

Use a calculator to approximate the following. (a) $\tan 145^{\circ} 23^{\prime}$ (b) $\sin 38.251^{\circ}$ (c) $\sec 18.563^{\circ}$

graph the given function over a two-period interval. Identify asymptotes when applicable - $y=\tan (x+\pi)$

To find the height of a fence in a baseball park, a groundskeeper found that the angle of elevation from a point 25.5 meters from the base of the fence is $23^{\circ} 54^{\prime}$ . What is the height of the fence?

A jet leaves an airport on a bearing of $\mathrm{S} 29^{\circ} \mathrm{W}$ and travels for 245 miles. It then turns and continues on a bearing of $\mathrm{N} 61^{\circ} \mathrm{W}$ for 506 miles. How far is the jet from the airport?

(a) Convert $-225^{\circ}$ to radians. (b) Convert $\frac{3 \pi}{10}$ to degrees.

A central angle of a circle with radius 50 centimeters cuts off an arc of 80 centimeters. Find each measure. (a) The radian measure of the angle. (b) The area of the sector with this central angle.

A jet leaves an airport on a bearing of $\mathrm{S} 37^{\circ} \mathrm{E}$ and travels for 324 miles. It then turns and continues on a bearing of $\mathrm{N} 53^{\circ} \mathrm{E}$ for 215 miles. How far is the jet from the airport?

the formula $s(t)=-5 \cos 3 \pi t$ gives the height (in inches) of a weight attached to a spring after $t$ seconds. -When does the weight reach its maximum height if $t \geq 0$ ?

Find the exact value of $\cot \left(-765^{\circ}\right)$ .

Solve the triangle.

If $\sin \theta=\frac{3}{5}$ and $\theta$ is in quadrant II find the values of the other trigonometric functions of $\theta$ .

graph the given function over a two-period interval. Identify asymptotes when applicable. - $y=\tan (x-\pi)$

Find the length of an arc intercepted by an angle of $60^{\circ}$ in a circle with radius 15 inches.

If $(-3,4)$ is on the terminal side of an angle $\theta$ in standard position, find $\sin \theta, \cos \theta$ , and $\tan \theta$ .

graph the given function over a two-period interval. Identify asymptotes when applicable. - $y=-\sin 2 x$

Use a calculator to approximate the following. (a) $\sin 29^{\circ} 8^{\prime}$ (b) $\cot 95.598^{\circ}$ (c) $\sec 142.199^{\circ}$

Solve the triangle.

Use a calculator to approximate $\theta$ in the interval $\left[0,90^{\circ}\right]$ , if $\sin \theta=0.7313537016$ .

If $\csc \theta>0$ and $\sec \theta<0$ , in which quadrant does $\theta$ lie?

Exam 8: The Unit Circle and Functions of Trigonometry

graph the given function over a two-period interval. Identify asymptotes when applicable - y=−cos⁡2xy=-\cos 2 xy=−cos2x

Use a calculator to approximate the following. (a) tan⁡145∘23′\tan 145^{\circ} 23^{\prime}tan145∘23′ (b) sin⁡38.251∘\sin 38.251^{\circ}sin38.251∘ (c) sec⁡18.563∘\sec 18.563^{\circ}sec18.563∘

graph the given function over a two-period interval. Identify asymptotes when applicable - y=tan⁡(x+π)y=\tan (x+\pi)y=tan(x+π)

To find the height of a fence in a baseball park, a groundskeeper found that the angle of elevation from a point 25.5 meters from the base of the fence is 23∘54′23^{\circ} 54^{\prime}23∘54′ . What is the height of the fence?

A jet leaves an airport on a bearing of S29∘W\mathrm{S} 29^{\circ} \mathrm{W}S29∘W and travels for 245 miles. It then turns and continues on a bearing of N61∘W\mathrm{N} 61^{\circ} \mathrm{W}N61∘W for 506 miles. How far is the jet from the airport?

(a) Convert −225∘-225^{\circ}−225∘ to radians. (b) Convert 3π10\frac{3 \pi}{10}103π​ to degrees.

A central angle of a circle with radius 50 centimeters cuts off an arc of 80 centimeters. Find each measure. (a) The radian measure of the angle. (b) The area of the sector with this central angle.

A jet leaves an airport on a bearing of S37∘E\mathrm{S} 37^{\circ} \mathrm{E}S37∘E and travels for 324 miles. It then turns and continues on a bearing of N53∘E\mathrm{N} 53^{\circ} \mathrm{E}N53∘E for 215 miles. How far is the jet from the airport?

the formula s(t)=−5cos⁡3πts(t)=-5 \cos 3 \pi ts(t)=−5cos3πt gives the height (in inches) of a weight attached to a spring after ttt seconds. -When does the weight reach its maximum height if t≥0t \geq 0t≥0 ?

Find the exact value of cot⁡(−765∘)\cot \left(-765^{\circ}\right)cot(−765∘) .

Solve the triangle.

If sin⁡θ=35\sin \theta=\frac{3}{5}sinθ=53​ and θ\thetaθ is in quadrant II find the values of the other trigonometric functions of θ\thetaθ .

graph the given function over a two-period interval. Identify asymptotes when applicable. - y=tan⁡(x−π)y=\tan (x-\pi)y=tan(x−π)

Find the length of an arc intercepted by an angle of 60∘60^{\circ}60∘ in a circle with radius 15 inches.

If (−3,4)(-3,4)(−3,4) is on the terminal side of an angle θ\thetaθ in standard position, find sin⁡θ,cos⁡θ\sin \theta, \cos \thetasinθ,cosθ , and tan⁡θ\tan \thetatanθ .

graph the given function over a two-period interval. Identify asymptotes when applicable. - y=−sin⁡2xy=-\sin 2 xy=−sin2x

Use a calculator to approximate the following. (a) sin⁡29∘8′\sin 29^{\circ} 8^{\prime}sin29∘8′ (b) cot⁡95.598∘\cot 95.598^{\circ}cot95.598∘ (c) sec⁡142.199∘\sec 142.199^{\circ}sec142.199∘

Solve the triangle.

Use a calculator to approximate θ\thetaθ in the interval [0,90∘]\left[0,90^{\circ}\right][0,90∘] , if sin⁡θ=0.7313537016\sin \theta=0.7313537016sinθ=0.7313537016 .

If csc⁡θ>0\csc \theta>0cscθ>0 and sec⁡θ<0\sec \theta<0secθ<0 , in which quadrant does θ\thetaθ lie?

graph the given function over a two-period interval. Identify asymptotes when applicable - $y=-\cos 2 x$

Use a calculator to approximate the following. (a) $\tan 145^{\circ} 23^{\prime}$ (b) $\sin 38.251^{\circ}$ (c) $\sec 18.563^{\circ}$

graph the given function over a two-period interval. Identify asymptotes when applicable - $y=\tan (x+\pi)$

To find the height of a fence in a baseball park, a groundskeeper found that the angle of elevation from a point 25.5 meters from the base of the fence is $23^{\circ} 54^{\prime}$ . What is the height of the fence?

A jet leaves an airport on a bearing of $\mathrm{S} 29^{\circ} \mathrm{W}$ and travels for 245 miles. It then turns and continues on a bearing of $\mathrm{N} 61^{\circ} \mathrm{W}$ for 506 miles. How far is the jet from the airport?

(a) Convert $-225^{\circ}$ to radians. (b) Convert $\frac{3 \pi}{10}$ to degrees.

A jet leaves an airport on a bearing of $\mathrm{S} 37^{\circ} \mathrm{E}$ and travels for 324 miles. It then turns and continues on a bearing of $\mathrm{N} 53^{\circ} \mathrm{E}$ for 215 miles. How far is the jet from the airport?

the formula $s(t)=-5 \cos 3 \pi t$ gives the height (in inches) of a weight attached to a spring after $t$ seconds. -When does the weight reach its maximum height if $t \geq 0$ ?

Find the exact value of $\cot \left(-765^{\circ}\right)$ .

If $\sin \theta=\frac{3}{5}$ and $\theta$ is in quadrant II find the values of the other trigonometric functions of $\theta$ .

graph the given function over a two-period interval. Identify asymptotes when applicable. - $y=\tan (x-\pi)$

Find the length of an arc intercepted by an angle of $60^{\circ}$ in a circle with radius 15 inches.

If $(-3,4)$ is on the terminal side of an angle $\theta$ in standard position, find $\sin \theta, \cos \theta$ , and $\tan \theta$ .

graph the given function over a two-period interval. Identify asymptotes when applicable. - $y=-\sin 2 x$

Use a calculator to approximate the following. (a) $\sin 29^{\circ} 8^{\prime}$ (b) $\cot 95.598^{\circ}$ (c) $\sec 142.199^{\circ}$

Use a calculator to approximate $\theta$ in the interval $\left[0,90^{\circ}\right]$ , if $\sin \theta=0.7313537016$ .

If $\csc \theta>0$ and $\sec \theta<0$ , in which quadrant does $\theta$ lie?