Question
For the following exercises, find all exact solutions on the interval $[0,2 \pi)$$$\cos ^{2} x-\cos x-1=0$$
Step 1
Let's let $X = \cos x$. This gives us the equation $X^2 - X - 1 = 0$. Show more…
Show all steps
Your feedback will help us improve your experience
Aamir Mithaiwala and 92 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For the following exercises, find all solutions exactly to the equations on the interval $[0,2 \pi)$ . $$ \sin ^{2} x-\cos ^{2} x-1=0 $$
Trigonometric Identities and Equations
Solving Trigonometric Equations
For the following exercises, find exact solutions on the interval $[0,2 \pi) .$ Look for opportunities to use trigonometric identities. $$ \cos (2 x)-\cos x=0 $$
For the following exercises, find all solutions exactly to the equations on the interval $[0,2 \pi)$ . $$ \sin ^{2} x-1+2 \cos (2 x)-\cos ^{2} x=1 $$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD