Trigonometric Identities

 $\sec\theta\cot\theta$  

•  $\sin\theta$  

•  $\csc\theta$  

•  $\frac{1}{\csc\theta}$  

•  $\cos\theta$  

Simplify:  $\sec^2\theta-\tan^2\theta$  

• 1

• -1

•  $\csc\theta$  

•  $-\csc\theta$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSA.SSE.B.3

Determine the function of the graph.

• $y=\sec3\theta$

• $y=\cos\theta$

• $y=\sec\theta+3$

• $y=\cos\theta+3$

Determine the equation of the graph.

•  $y=\csc4\theta$  

•  $y=\csc\theta-1$  

•  $y=\csc4\theta-1$  

•  $y=\csc4\theta+1$  

What  is  $\sec\left(x\right)\$ equivalent to?

•  $\frac{1}{\tan\left(x\right)}$  

•  $\frac{1}{\sec\left(x\right)}$  

•  $\frac{1}{\cos\left(x\right)}$  

•  $\frac{1}{\cot\left(x\right)}$  

 $\csc\left(-\frac{5\pi}{3}\right)$  

• undefined

•  $-\frac{2\sqrt{3}}{3}$  

•  $\sqrt{3}$  

•  $\frac{2\sqrt{3}}{3}$  

What is an equation that shifts  $y=\cos\theta$  2 units down and  $\frac{\pi}{6}$  units to the left?

•  $y=\cos\left(\theta+\frac{\pi}{6}\right)+2$  

•  $y=\cos\left(\theta-\frac{\pi}{6}\right)-2$  

•  $y=\cos\left(\theta+\frac{\pi}{6}\right)-2$  

•  $y=2\cos\theta+\frac{\pi}{6}$  

What is the period of the function?

• 1

•  $2\pi$  

•  $\pi$  

• 2

What is the amplitude?

• 6

• $2\pi$

• 12

• 3

What is the sign for cosine values in quadrant 3?

• positive

• negative

• undefined

• 0