Free Printable Simplifying Trig Identities

1.

Simplify: $\secθ\sinθ$

a)

cos θ

b)

csc θ

c)

tan θ

d)

cot θ

2.

Simplify: $(\secθ-1)(\secθ+1)$

a)

sin ² θ

b)

cos ² θ

c)

tan ² θ

d)

sec ² θ

3.

Simplify: $\sec x-\tan x\sin x$

a)

$\sin x$

b)

$\cos x$

c)

$\csc x$

d)

$\sec x$

4.

Simplify: $\frac{\sin^2x+\cos^2x+\cot^2x}{1+\tan^2x}$

a)

$\cot^2x$

b)

$\tan^2x$

c)

$\csc^2x$

d)

$\sec^2x$

5.

(SAT Problem)

If cos (x +20⁰) = sin(x-10)

then x =

a)

30

b)

40

c)

50

d)

60

6.

$\cos\left(\frac{\pi}{2}-\theta\right)\csc\left(-\theta\right)$

a)

$1$

b)

$\sin\theta$

c)

$-\sin\theta$

d)

$-1$

7.

$\frac{1-\cos^4x}{1+\cos^2x}$

a)

$\cos^2x$

b)

$-\cos^2x$

c)

$\sin^2x$

d)

$-\sin^2x$

8.

$\frac{\cos x}{1+\sin x}+\tan x$

a)

$\csc x$

b)

$\sec x$

c)

$\cot x$

d)

$1$

9.

$\frac{\tan^2x}{1+\sec x}+1$

a)

$\sec x$

b)

$-\sec x$

c)

$\cos x$

d)

$-\cos x$

10.

$\frac{\sin x\sec^2x-\sin x}{\csc x-\sin x}$

a)

$\tan x$

b)

$\tan^2x$

c)

$\tan^3x$

d)

$\tan^4x$

Simplifying Trig Identities

Total questions: 10

Worksheet time: 16mins

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