Enicks review for chapter 5 test Trig

Name (First, Last)

Find the sec $\theta$  = ?, when tan $\theta$  =3 and cos $\theta$  >0

•  $\sqrt{10}$  

•  $\frac{\sqrt{10}}{10}$  

•  $\frac{1}{10}$  

•  $\frac{1}{\sqrt{10}}$  

Simplify. sin²x + cos²x + cot²x

• cot ²x

• csc²x

• sec²x

• csc x

 $\frac{\sec\theta\ +\csc\theta}{1+\tan\theta}$  Verify the identity. Find the equivalent answer below.

•   $\sec\theta$  

•   $\cot\theta$  

•   $\csc\theta$  

•  $\tan\theta$  

Find all solutions of the equation on the interval [0, 2 $\pi$  ]
 $4\cos^2x\ =\ 3$  

•  $\frac{\pi}{6},\ \frac{5\pi}{6},\ \frac{7\pi}{6},\ \frac{11\pi}{6}$  

•  $0,\ \frac{\pi}{2}$  

•  $\frac{\pi}{4},\ \frac{3\pi}{4}$  

•  $\frac{\pi}{6},\ \frac{5\pi}{6}$  

Find the EXACT value for the trigonometric expression.
 $\cos\ 15\degree$  

•  $\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$  

•  $\frac{\sqrt{2}}{4}-\frac{\sqrt{6}}{4}$  

•  $\frac{\sqrt{6}}{2}+\frac{\sqrt{6}}{4}$  

•  $\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$  

 $Simplify.\ \ \ \ \ \cos\ 24\degree\cos\ 36\degree-\sin24\degree\sin36\degree$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $0$  

 $\cos\left(\theta+30\degree\right)-\sin\left(\theta+60\degree\right)$  Verify the identity. Match the answer below with the equivalent expression.

•  $\sin\theta$  

•  $-\sin\theta$  

•  $-\cos\theta$  

•  $\cos\theta$