Trig Review

Cofunctions

100

Find the cofunction of  sin 48 °

 cos 42 °

200

Find the cofunction of  csc 85.5 °

 sec 4.5 °

300

What is the cofunction of  cos (\pi/3) ?

 sin (\pi/6) 

400

What is the cofunction of  tan ((2\pi)/7)  ?

 cot ((3\pi)/14) 

500

What is the cofunction of  sec ((5\pi)/17)?

  csc ((7\pi)/34) 

Find trig functions

100

Given that  sin \theta =-3/4  

and theta is in the third quadrant, find  cos \theta 

 -\sqrt{7} /4 

200

given  cos \theta = 5/7  and  \theta  is an acute angle, find  tan \theta 

 (2\sqrt{6})/5 

300

Find  sin\theta  given the coordinate (2, -3)

(-3√13)/13

400

Find  cot\theta  given the coordinate (-√11, √23)

 -\sqrt{253}/23 

500

Given  tan \theta = 5/3  find  sin \theta 

 (5\sqrt{34})/34 

Reference angles

100

Find the reference angle for  258°

78°

200

Find the reference angle for  -161°.

19°

300

Find the reference angle for a rotation of  (5\pi)/6  

 \pi/6 

400

Find the reference angle for   -(15\pi)/4 

 \pi/4 

500

Find the reference angle for a rotation of 863°.

37^∘

Trig indentities

100

find the value of  cos 34^{\circ}-sin 56^{\circ}+10 

 10 

200

Simplify the trigonometric expression using the trig identities:

((1-sin^2 theta)/sin^2 theta)

cot ^2 theta ?

300

Simplify the trigonometric expression using the trig identities:

(cos theta csc theta)/ cot theta

1 ?

400

Express

cot \theta csc \theta  in terms of   cos\theta 

 cos \theta /(1-cos^2\theta) 

500

Simplify  cos^3 \theta tan^2\theta+cos^2\theta/sec\theta 

 cos\theta