Determine all non-permissible values of x over the interval $[0, 2\pi]$. $\frac{\sin x}{(1 + \cos x)} + \csc x + \cot x$ Explain your reasoning.
Added by Sherri J.
Close
Step 1
We know that cscx is equal to 1/sinx and cotx is equal to cosx/sinx. So, the denominator can be rewritten as: 1+cosx+1/sinx+cosx/sinx. Show more…
Show all steps
Your feedback will help us improve your experience
Gaurav Kalra and 62 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 the following trigonometric equation is an identity: cot(x) sec(x)(csc(x) + 1) = 1 - sin(x) Given that cosec(x) = -1 and 0 < x < ̀, find the exact value of sin(x).
Kumareshwaran R.
Write an expression that identifies all the non-permissible values, in radians, of the variable x, in the equation cot x = cos x / sin x. Verify using exact values that the following are solutions of cot x = cos x / sin x. a) x = 45° b) x = π / 6 Verify using exact values that x = π / 4 is a solution of the equation sin x = sec x / (tan x + cot x)
Kathleen C.
Determine the non-permissible values of $x$ in radians, for each expression. a) $\frac{\cos x}{\sin x}$ b) $\frac{\sin x}{\tan x}$ c) $\frac{\cot x}{1-\sin x}$ d) $\frac{\tan x}{\cos x+1}$
Trigonometric Identities
Reciprocal, Quotient, and Pythagorean Identities
Recommended Textbooks
Precalculus with Limits
Precalculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD