Free Printable Trigonometric Identity

1.

Simplify: $\cot x\sin x\sec^2x$

a)

$\cos x$

b)

$\tan x$

c)

$\csc x$

d)

$\sec x$

2.

Which of the following is false?

a)

$\sin\left(-x\right)=-\sin\left(x\right)$

b)

$\cos\left(-x\right)=-\cos\left(x\right)$

c)

$\tan\left(-x\right)=-\tan\left(x\right)$

d)

$\cot\left(-x\right)=-\cot\left(x\right)$

3.

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

a)

$\frac{1-\cos x}{\sin x}$

b)

$0$

c)

$-\cos x$

d)

$\csc x-1$

4.

Simplify: $\left(\cos x-\sin x\right)^2$

a)

$1$

b)

$\cos2x$

c)

$\cos2x+\sin2x$

d)

$1-\sin2x$

5.

*

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

6.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

7.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

8.

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

9.

6) (secx-1)(secx+1)

a)

tan²x

b)

sinx

c)

cot²x

d)

cosx

10.

5) tanxcotx-cos²x

a)

tanx

b)

cotx

c)

sin²x

d)

cos²x

11.

Is this a pythagorean identity?
tan²x + 1 = secx

a)

Yes

b)

No

12.

Simplify.

a)

sinθ

b)

cos²θ

c)

sin²θ

d)

1- sin²θ

Trigonometric Identity

Total questions: 12

Worksheet time: 3hrs 0mins

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