Free Printable Pythagorean Identities

1.

$\sin^2x\ -1=?$

a)

$-\cos^2x$

b)

$\cos^2x$

c)

$\cos^2x-1$

d)

$1-\cos^2x$

2.

$\tan^2x\ =?$

a)

$\sec^2x-1$

b)

$\sec^2x+1$

c)

$1-\sec^2x$

3.

Which of the following is not a Pythagorean Identity?

a)

$\cot^2x+1=\csc^2x$

b)

$\cot^2x-\csc^2x=-1$

c)

$\csc^2x+1=\cot^2x$

d)

$\csc^2x-\cot^2x=1$

4.

$1-\cos^2x=?$

a)

$\sin^2x$

b)

$\tan^2x$

c)

$\cot^2x$

d)

$\csc^2x$

5.

$\csc^2x=?$

a)

$1+\cot^2x$

b)

$1-\cot^2x$

c)

$\cot^2x-1$

6.

$1-\sin^2x=?$

a)

$\tan^2x$

b)

$\cos^2x$

c)

$\cot^2x$

d)

$\csc^2x$

7.

$\frac{\left(\sin x\right)}{\left(\cos x\right)}=?$

a)

$\csc x$

b)

$\sec x$

c)

$\cot x$

d)

$\tan x$

8.

Which of the following is NOT a Pythagorean Identity?

a)

$\tan^2x+1=\sec^2x$

b)

$\cos2x=\cos^2x-\sin^2x$

c)

$\sin^2x+\cos^2x=1$

d)

$1+\cot^2x=\csc^2x$

9.

$\cos^2x+\sin^2x=?$

a)

$1$

b)

$\csc^2x+\sec^2x$

c)

$\sin^2x$

d)

$1-\sin^2x$

10.

Rewrite tan(x) in terms of sin(x) and cos(x)

a)

tan(x) = cos(x) / sin(x)

b)

tan(x) = 1 / cot(x)

c)

tan(x) = sin(x) / cos(x)

d)

tan(x) = opp / adj

11.

Select the MOST SIMPLIFIED answer for the problem:

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

a)

$\sin^2x$

b)

$\cos^2x$

c)

1

d)

$\frac{\sin^2x}{\sin^2x}$

12.

Select the MOST SIMPLIFIED answer for the problem:

$\frac{\cot^2x}{1-\sin^2x}$

a)

1

b)

$\frac{\cot^2x}{\cos^2x}$

c)

$\frac{1}{\sin^2x}$

d)

$\csc^2x$

13.

Select the MOST SIMPLIFIED answer for the problem:

$\frac{\sec^2x-1}{\sin^2x}$

a)

$\frac{1}{\cos^2x}$

b)

$\sec x$

c)

$\sec^2x$

d)

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

14.

Select the MOST SIMPLIFIED answer for the problem:

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

a)

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

b)

$\frac{\cos^2x}{\sin^2x}$

c)

$\tan^2x$

d)

$\cot^2x$

15.

$\frac{\cos^2x+\sin^2x}{\sec x}$

a)

$\frac{1}{\sec x}$

b)

$\sin x$

c)

$\cos x$

16.

Which is NOT a Pythagorean Identity?

a)

$Sin^2\left(x\right)+Cos^2\left(x\right)=1$

b)

$1+Tan^2\left(x\right)=Sec^2\left(x\right)$

c)

$1+Csc^2\left(x\right)=Sec^2\left(x\right)$

d)

$1+Cot^2\left(x\right)=\csc^2\left(x\right)$

17.

Choose the best answer

a)

A

b)

B

c)

C

d)

D

18.

Choose the best answer

a)

A

b)

B

c)

C

d)

D

19.

$\sin^2\theta+\cos^2\theta=$

a)

$\tan^2\theta$

b)

$1$

c)

$\csc^2\theta$

d)

$1+\cot^2\theta$

20.

$1+\cot^2\theta=$

a)

$\sin^2\theta$

b)

$\sec^2\theta$

c)

$\csc^2\theta$

d)

$\tan^2\theta$

21.

$\tan^2\theta+1=$

a)

$\sin^2\theta$

b)

$\sec^2\theta$

c)

$\cot^2\theta$

22.

$\sec^2\theta-1=$

a)

$\tan^2\theta$

b)

$\cot^2\theta$

23.

$1-\cos^2\theta=$

a)

$\sin^2\theta$

b)

$\sec^2\theta$

c)

$\tan^2\theta$

24.

$\csc^2\theta-1=$

a)

$\sec^2\theta$

b)

$\sin^2\theta$

c)

$\cot^2\theta$

25.

$\tan^2x\ =?$

a)

$\sec^2x-1$

b)

$\sec^2x+1$

c)

$1-\sec^2x$

Pythagorean Identities

Total questions: 25

Worksheet time: 6hrs 15mins

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