Free Printable Trig Identities (basic)

1.

Solve the following for cos²θ:
sin²θ + cos²θ = 1

a)

cos²θ = 1 - sin²θ

b)

cosθ = 1 + sin²θ

c)

cosθ = 1 - sinθ

d)

cos²θ = Adj/hyp

2.

Solve the following for tan²θ:
1 + tan²θ = sec²θ

a)

tan²θ = sec²θ + 1

b)

tan²θ = sec²θ - 1

c)

tanθ = secθ - 1

d)

tan²θ = opp/adj

3.

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

4.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

5.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

6.

Is this a pythagorean identity?
tan²x + 1 = secx

a)

Yes

b)

No

7.

sin x =

a)

cos x

b)

1/cosx

c)

1/secx

d)

1/cscx

8.

cos x =

a)

sin x

b)

sin²x-1

c)

1/sec x

d)

1/csc x

9.

sec x =

a)

1/cosx

b)

1/sinx

c)

1/cscx

d)

1/tanx

10.

csc x =

a)

1/cosx

b)

1/sinx

c)

cot²x-1

d)

1/secx

11.

sin²x + cos²x =

a)

1

b)

1/sinx

c)

sec²x

d)

csc²x

12.

If $\sin\theta=\frac{4}{5}$ , find $\csc\theta$ .

a)

$\frac{9}{5}$

b)

$\frac{5}{4}$

c)

$\frac{1}{5}$

d)

$\frac{1}{4}$

13.

$\tan\theta\cos\theta$ can be written in a single trigonometric identity as:

a)

$\cos\theta$

b)

$\sin\theta$

c)

$\sec\theta$

d)

$\cot\theta$

14.

$\frac{1-\cos^2\theta}{\cos^2\theta}$ can be written in a single trigonometric identity as:

a)

$\cos^2\theta$

b)

$\sin^2\theta$

c)

$\sec^2\theta$

d)

$\tan^2\theta$

15.

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Trig Identities (basic)

Total questions: 15

Worksheet time: 17mins

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