Verify the identity. sec(x) + csc(x) cos(x) sin(*) cot(x) tan(*)
Added by Donna A.
Close
Step 1
First, we can rewrite the expression using reciprocal identities: sec(x) + csc(x) cos(x) sin(x) cot(x) tan(x) = 1/cos(x) + 1/sin(x) * cos(x) * sin(x) * cos(x)/sin(x) = 1/cos(x) + cos(x)/sin(x) = (1 + cos^2(x))/cos(x)sin(x) = sin^2(x)/cos(x)sin(x) = tan(x) Show more…
Show all steps
Your feedback will help us improve your experience
Hemraj Kumawat and 97 other Algebra and Trigonometry 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 the identity. $$ \frac{\sec x+\csc x}{\tan x+\cot x}=\sin x+\cos x $$
Analytic Trigonometry
Trigonometric Identities
Verify the identity: $$\cot x+\tan x=\csc x \sec x$$
Sequences, Induction, and Probability
Mathematical Induction
Verify the identity. $$ \frac{\sin x+\cos x}{\sec x+\csc x}=\sin x \cos x $$
Recommended Textbooks
Introductory and Intermediate Algebra for College Students 4th
Prealgebra
Prealgebra and Introductory Algebra
Watch the video solution with this free unlock.
EMAIL
PASSWORD