Sign up for our free STEM online summer camps starting June 1st!View Summer Courses

Airplane Ascent An airplane leaves the runway climbing at an angle of $18^{\circ}$ with a speed of 275 feet per second (see figure). Find the altitude $a$ of the plane after 1 minute.

Height of a Mountain While traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is $3.5^{\circ}$ . After you drive 13 miles closer to the mountain, the angle of elevation is $9^{\circ}$ . Approximate the height of the mountain.

Period and Amplitude In Exercises $45-48,$ determine the period and amplitude of each function.$$y=2 \sin 2 x$$

Period and Amplitude In Exercises $45-48,$ determine the period and amplitude of each function.$$y=\frac{3}{2} \cos \frac{x}{2}$$

Period and Amplitude In Exercises $45-48,$ determine the period and amplitude of each function.$$y=-3 \sin 4 \pi x$$

Need more help? Fill out this quick form to get professional live tutoring.

Solving a Trigonometric EquationIn Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$$$\cos \frac{\theta}{2}-\cos \theta=1$$

$\theta=\pi, \frac{2 \pi}{3}$

No transcript available

Solving a Trigonometric Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$$$2 \cos ^{2} \theta-\cos \theta=1$$

Solving a Trigonometric EquationIn Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$$$\cos ^{2} \theta+\sin \theta=1$$

Solving a Trigonometric EquationIn Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$$$\sin \theta=\cos \theta$$

Solving a Trigonometric Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$$$2 \sin ^{2} \theta=1$$

Solving a Trigonometric Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$$$\tan ^{2} \theta-\tan \theta=0$$

Solving a Trigonometric Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$$$\tan ^{2} \theta=3$$

Solving a Trigonometric EquationIn Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$$$\sec \theta \csc \theta=2 \csc \theta$$

Solve each trigonometric equation for $0 \leq \theta < 2 \pi$$$\cos \left(\frac{\pi}{2}-\theta\right)=\csc \theta$$

Solve each trigonometric equation for $0 \leq \theta < 2 \pi$$$\sin \left(\frac{\pi}{2}-\theta\right)=-\cos (-\theta)$$

You must be logged in to like a video.

You must be logged in to bookmark a video.

Our educator team will work on creating an answer for you in the next 6 hours.

## Discussion

## Video Transcript

No transcript available

## Recommended Questions

Solving a Trigonometric

Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

$$2 \cos ^{2} \theta-\cos \theta=1$$

Solving a Trigonometric Equation

In Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$

$$\cos ^{2} \theta+\sin \theta=1$$

Solving a Trigonometric Equation

In Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$

$$\sin \theta=\cos \theta$$

Solving a Trigonometric Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

$$2 \sin ^{2} \theta=1$$

Solving a Trigonometric

Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

$$\tan ^{2} \theta-\tan \theta=0$$

Solving a Trigonometric

Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

$$\tan ^{2} \theta=3$$

Solving a Trigonometric Equation

In Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$

$$\sec \theta \csc \theta=2 \csc \theta$$

Solve each trigonometric equation for $0 \leq \theta < 2 \pi$

$$

\cos \left(\frac{\pi}{2}-\theta\right)=\csc \theta

$$

Solve each trigonometric equation for $0 \leq \theta < 2 \pi$

$$

\sin \left(\frac{\pi}{2}-\theta\right)=-\cos (-\theta)

$$