Pre-Calc Review

Pythagorean Identities

100

The expression 2tan²x-2sec² x is equivalent to ... 

What is ... -2?

200

The expression cos² x-1 is equivalent to ... 

What is ... -sin²x?

300

The expression cot² x / sin² x + cos² x is equivalent to ...

What is ... cot² x?

400

The expression csc² x-1 / cot² x is equivalent to ... 

What is ... 1?

500

The expression cos² x-1 / cos² x is equivalent to ... 

What is ... -tan²x?

Reciprocal Trig Identities

100

Simplify to a single trig function with no denominator 

cot θ * sin θ

What is ... cos θ?

200

Simplify to a single trig function with no denominator 

sin² θ * sec² θ

What is ... tan²θ?

300

Simplify to a single trig function with no denominator 

sinθ/tanθ

What is ... cosθ?

400

Simplify to a single trig function with no denominator 

cos θ * tan θ 

What is ... sinθ? 

500

Simplify to a single trig function with no denominator 

cot θ * tan θ

What is ... 1?

Double Angles

100

Assume that θ is a positive acute angle 

Given: sin θ = 8/17

Find: cos 2θ

What is ... 161/289?

200

Assume that θ is a positive acute angle 

Given: cos θ = 3/5

Find: sin 2θ

What is ... 24/25?

300

Assume that θ is a positive acute angle 

Given: cos θ = 24/25 

Find: cos 2θ

What is ... 527/625?

400

Assume that θ is a positive acute angle 

Given: cos θ = 12/37

Find: sin 2θ

What is ... 840/1369?

500

Assume that θ is a positive acute angle 

Given: sinθ = 8/17

Find: sin 2θ

What is ... 240/289?

Mix & Match

100

Assume that θ is a positive acute angle 

Given: sin θ = 45/53

Find: cos 2θ

What is ... -1241/2809?

200

Simplify to a single trig function with no denominator 

sinθ/tanθ

What is ... cosθ?

300

The expression 4 + 4 tan² x is equivalent to ...

What is ... 4sec²x?

400

The expression cot² x /1-csc² x is equivalent to ... 

What is ... -1?

500

Assume that θ is a positive acute angle 

Given: sinθ = 28/53

Find: sin 2θ

What is ... 2520/2809?