Unit 4 Review

Unit 4 Review

• Ratios of sides in right triangles are determined by the angles.

• sin $\theta$ =  _ / _

• cos $\theta$ =  _ / _

• tan $\theta$ =  _ / _

Open Ended

Find cos $\theta$ , sin $\theta$ , and tan $\theta$  in the triangle given. 

Multiple Choice

Solve for the missing side x.

• x = 18

• x = 21.24

• x = 22.57

• x = 28.01

• Inverse trig functions input a ratio and output an angle.

• sin^-1 (a/c) = $\theta$  

• cos^-1 (b/c) = $\theta$  

• tan^-1 (a/b) = $\theta$  

Open Ended

Find the measure of the missing angle. (round to nearest hundredth)

Open Ended

Find the measure of the missing angle. (round to nearest hundredth)

Multiple Choice

On the unit circle sin $\theta$ =  

• x

• y

• x / y

• y / x 

Multiple Choice

On the unit circle cos $\theta$ =  

• x

• y

• x / y

• y / x 

Multiple Choice

On the unit circle tan $\theta$ =  

• x

• y

• x / y

• y / x 

Multiple Choice

What do the coordinates (x , y) of any point on the unit circle represent in terms of our trig functions?

• (sin, cos)

• (cos, cos)

• (cos, tan)

• (cos, sin)

Open Ended

cos (5 $\pi$ )

Other Trig Functions

• sec $\theta$  =  1 / cos $\theta$ 

• csc $\theta$  =  1 / sin $\theta$ 

• cot $\theta$ = 1 / tan $\theta$ 

• cot $\theta$ = cos $\theta$ / sin $\theta$ 

Open Ended

If sin $\theta$ = 1/5, find csc $\theta$  

Multiple Select

For what value of  $\theta$  between 0 and 2 $\pi$ does csc $\theta$ = 2 ? (2 Correct Answer choices)

•  $\pi$ / 6 

• 5 $\pi$ / 6 

• 7 $\pi$ / 6 

• 11 $\pi$ / 6