Simplify
Sum/Difference Identities
Double-angle Identities
Half-angle Identities
Inverse Trig Functions
Equations and Inequalities
100

Simplify 

\tan x \cos x

What is 

\sin x ?

100

The exact value of 

\sin 105^o

What is 

(sqrt6 + sqrt 2)/4 ?

100

The exact value of

sin 2\theta

  when given 

sin \theta = 4/5, \qquad cos \theta <0

What is 

- 24/25 ?

100

The exact value of 

cos (\pi/8)

What is 

(sqrt(2+sqrt2))/2 ?

100

The exact value of 

cos^-1(1/2)

What is 

pi/3 ?

100

The solution on the interval 

[0^o, 360^o) \qquad of \qquad 2cosx+1=0

What is 

120^o, 240^o ?

200

Simplify 

(\cot \theta ) / (\csc \theta)

What is 

\cos \theta ?

200

The exact value of 

\cos (\pi/3) \cos((2\pi)/3) - \sin(\pi/3)\sin((2\pi)/3)

What is 

-1 ?

200

The exact value of

cos 2x

  when given 

tan x = 2, \qquad cos x >0

What is 

-3/5 ?

200

The exact value of 

tan 195^o

What is 

2-sqrt3 ?

200

The exact value of 

sec^-1(-1)

What is 

pi ?

200

The solution on the interval 

[0,2pi) \qquad of \qquad 2tanx+1=-1

What is 

(3pi)/4, (7pi)/4 ?

300

Simplify 

(\csc \theta \sec \theta) / \cot \theta

What is 

\sec ^2 \theta ?

300

Simplify 

\sin((3pi)/2-x)

What is 

- \cos x ?

300

The exact value of 

2cos^2 15^o -1

What is 

sqrt 3/2 ?

300

The exact value of 

sin 67.5^o

What is 

(sqrt(2+sqrt2))/2 ?

300

The exact value of 

sin (tan^-1 (3/2))

What is 

(3sqrt13)/13 ?

300

The solution on the interval 

[0^o,360^o) \qquad of \qquad 2cos^2x+cosx-1=0

What is 

60^o, 180^o, 300^o ?

400

Simplify 

(1+\tanx)^2-2\tanx

What is 

\sec^2 x ?

400

Simplify 

\sin (x+y)+\sin(x-y)

What is 

2 sin x cos y ?

400

The exact value of 

\cos ^2 15^o - \sin ^2 15^o

What is 

sqrt3 / 2 ?

400

The exact value of

cos(x/2)

  given 

cosx=1/4, \qquad 0<x<pi/2

What is 

sqrt10/4 ?

400

The exact value of

tan (cos^(-1) (3/4))

What is 

sqrt7 / 3 ?

400

The solution on the interval 

[0,2pi) \qquad of \qquad 2sin(x/2)=1

What is 

pi/3, (5pi)/3 ?

500

Simplify 

\sin^2 \beta (1+\cot^2 \beta)

What is 

1?

500

Simplify 

(\cos (A-B)) / (\cosA \sin B)

What is 

\tanA + \cot B ?

500

Simplify 

cos^4x-sin^4x

What is 

cos 2x ?

500

Simplify (in terms of x) 

sec^2 (x/2)

What is 

2 / (1 + cos x) ?

500

The exact value of 

tan(2\cos^-1 (1/4) )

What is 

- sqrt15 / 7 ?

500

The solutions on the interval 

[0,2pi) \qquad of \qquad cosx-1=cos2x

What is 

pi/3, pi/2, (3pi)/2, (5pi)/3 ?