Free Printable Trigs Quiz

1.

Which graph would have a frequency of 2 and a maximum value of −4?

a)

𝑓(𝑥) = 3 cos⁡(4𝜋𝑥)+7

b)

𝑎(𝑥) = 3 cos⁡(1/4𝜋𝑥)−7

c)

𝑔(𝑥)=3 cos⁡( 4𝜋𝑥)−7

d)

𝑎(𝑥)=3 cos⁡(1/4𝜋 𝑥)+7

2.

Let there be an angle 𝜑 such that 𝜋/2 < 𝜑 < 𝜃.

Which statement is true?

a)

sinφ < sinθ

b)

cosθ < cosφ

c)

tanφ < tanθ

d)

sinφ > sinθ

3.

Which graph is equivalent to y = sinx?

a)

f(x) = cos(x + π)

b)

g(x) = cos(x − π)

c)

h(x) = cos(x + π/2)

d)

j(x) = cos(x - π/2)

4.

if $\frac{2\sin\alpha}{1+\sin\alpha+\cos\alpha}=\lambda$ then $\frac{\left(1+\sin\alpha-\cos\alpha\right)}{1+\sin\alpha}$

a)

$\frac{1}{\lambda}$

b)

$\lambda$

c)

$1-\lambda$

d)

$1+\lambda$

5.

$\sin78\degree-\cos24\degree-\sin42\degree+\cos84\degree$ is equal to

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$2$

d)

$-2$

6.

$\left(2+\left(2+2\cos4\theta\right)^{\frac{1}{2}}\right)^{\frac{1}{2}}=$

a)

$2\sin\theta$

b)

$2\cos\theta$

c)

$\sin\theta$

d)

$\cos\theta$

7.

The value of $Cos^2\left(\frac{\left(\theta-\phi\right)}{2}\right)-\sin^2\left(\frac{\left(\theta+\phi\right)}{2}\right)$

a)

$\sin\theta\cos\phi$

b)

$\sin\theta\sin\phi$

c)

$\cos\theta\cos\phi$

d)

$\cos\theta\sin\phi$

8.

if $\sin\left(\pi\cos\theta\right)=\cos\left(\pi\sin\theta\right)$ then $\cos\left(\theta\pm\frac{\pi}{4}\right)$ is equals to

a)

$\frac{5\sqrt[]{2}}{4}$

b)

$-\frac{3\sqrt[]{2}}{4}$

c)

$\frac{1}{2\sqrt[]{2}}$

d)

none of these

9.

Find the number of solution of equation $16^{\sin^2x}+16^{\cos^2x}=10$ when $x\in\left[0,2\pi\right]$

a)

8

b)

4

c)

2

d)

1

10.

The exact value of $\sin\ 22\frac{1}{2}^o=.\ .\ .$

a)

$\sqrt{\frac{2+\sqrt{3}}{2}}$

b)

$\sqrt{\frac{2-\sqrt{3}}{2}}$

c)

$\frac{1}{2}\sqrt{2+\sqrt{3}}$

d)

$\frac{1}{2}\sqrt{2+\sqrt{2}}$

e)

$\frac{1}{2}\sqrt{2-\sqrt{2}}$

11.

$\frac{\cos\theta}{1+\sin\theta}+\frac{1+\sin\theta}{\cos\theta}=.\ .\ .$

a)

$\frac{2}{\cos\theta}$

b)

$\frac{3}{\tan\theta}$

c)

$\frac{2}{\cot\theta}$

d)

$\frac{2}{\sin\theta}$

e)

$\frac{2}{\sec\theta}$

12.

Given that $\sin^2x\ -\sin x\ -2=0,\$ , the value of x for $0<x<2\pi$ are . . .

a)

$\frac{3\pi}{2}$

b)

$\frac{3\pi}{4}$

c)

$\frac{5\pi}{3}$

d)

$\frac{2\pi}{3}$

e)

$\frac{4\pi}{3}$

13.

$\cos105^o=.\ .\ .$

a)

$\frac{1}{4}\sqrt{2}\left(1+\sqrt{3}\right)\$

b)

$\frac{1}{4}\sqrt{2}\left(\sqrt{2}+1\right)$

c)

$\frac{1}{4}\sqrt{2}\left(\sqrt{2}-1\right)$

d)

$\frac{1}{4}\sqrt{2}\left(\sqrt{3}-1\right)$

e)

$\frac{1}{4}\sqrt{2}\left(1-\sqrt{3}\right)$

14.

$\cos\left(45^o-x\right)\cos\left(45^o-y\right)-\sin\left(45^o-x\right)\sin\left(45^o-y\right)=.\ .\ .$

a)

$\cos\left(x+y\right)$

b)

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

c)

$\sin\left(x+y\right)$

d)

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

e)

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

15.

$\frac{\sin\theta+\sin2\theta}{1+\cos2\theta+\cos\theta}$

is equivalent to

a)

$\tan\theta$

b)

$\frac{1}{\cos\theta}$

c)

$\frac{1}{\sin\theta}$

d)

$\frac{\cos\theta}{\sin\theta}$

Trigs Quiz

Total questions: 15

Worksheet time: 34mins

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