Trig 3-4

Trig 3-4

Verifying Trigonometric Identities

Multiple Choice

Quick Check 1
One way to start verifying the identity  $\csc⁡x\tan⁡x=\sec⁡x$    is to rewrite the left hand side as:

•  $\frac{1}{\sin x}\cdot\frac{\sin x}{\cos x}$  

•  $\frac{\csc x\tan x}{\sec x}$  

•  $\frac{\csc^2x\tan x}{\csc x}$  

•  $\csc x\cdot\frac{\sin x}{\cos x}$  

Multiple Choice

Quick Check 2
The expression  $\frac{1}{1-\sin⁡θ\ }+\frac{1}{1+\sin⁡θ}$    simplifies to which of the following?
Hint: Find a common denominator!

•  $2\sec^2\theta$  

•  $2\sin^2\theta$  

•  $2\csc^2\theta$  

•  $2\cos^2\theta$  

Multiple Choice

Quick Check 3
Rewrite $\cot\theta\sec\theta$ in terms of sine and cosine functions. 

•  $\frac{\sin\theta}{\cos\theta}\cdot\frac{1}{\cos\theta}$  

•  $\frac{\cos\theta}{\sin\theta}\cdot\frac{1}{\sin\theta}$  

•  $\frac{\cos\theta}{\sin\theta}\cdot\frac{1}{\cos\theta}$  

•  $\frac{\sin\theta}{\cos\theta}\cdot\frac{1}{\sin\theta}$