Question
Verify that each equation is an identity. See Examples $1-5$$$\frac{\csc \theta+\cot \theta}{\tan \theta+\sin \theta}=\cot \theta \csc \theta$$
Step 1
We can use the identity that $\csc \theta$ is equal to $\frac{1}{\sin \theta}$ and $\cot \theta$ is equal to $\frac{1}{\tan \theta}$. So we rewrite the left hand side as: $$\frac{\csc \theta+\cot \theta}{\tan \theta+\sin \theta} = \frac{\frac{1}{\sin \theta} + Show more…
Show all steps
Your feedback will help us improve your experience
Anas Venkitta and 84 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Verify that each equation is an identity. See Examples $1-5$ $$\cot \theta+\tan \theta=\sec \theta \csc \theta$$
Trigonometric Identities and Equations
Verifying Trigonometric Identities
Verify that each equation is an identity. See Examples $1-5$ $$\frac{\cot \theta}{\csc \theta}=\cos \theta$$
Verify that each trigonometric equation is an identity. See Examples $I-5$ $$\frac{\csc \theta+\cot \theta}{\tan \theta+\sin \theta}=\cot \theta \csc \theta$$
Trigonometric ldentities and Equations
Verifying Trigonometric ldentities
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD