Free Printable Sine and Cosine Equations

1.

What angle (between $0^o$ and $180^o$ ) has a cosine value of $-0.11$ ? Round your answer to the nearest degree.

(a)

2.

Determine the value of each the key features for the function $y=5\sin\frac{\theta}{5}+8$

Amplitude: (a) Frequency: (b) Midline: y = (c) Period: (d)

Choose from the below words

$10\pi$

0

$\frac{\pi}{2}$

5

8

$\frac{1}{5}$

3.

Determine the value of each the key features for the function $y=5\cos2\theta-7$

Choose from the below words

5

2

-7

$\pi$

20

7

$4\pi$

4.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

Write the equation for this graph.

a)

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

b)

$f\left(x\right)=2\sin\left(x\right)$

c)

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

d)

$f\left(x\right)=2\cos\left(x\right)$

8.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

9.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

10.

Write the equation for this graph.

a)

$f\left(x\right)=\cos\left(x\right)-5$

b)

$f\left(x\right)=\frac{1}{2}\cos\left(5x\right)$

c)

$f\left(x\right)=\cos\left(\frac{x}{2}\right)-4$

d)

$f\left(x\right)=\cos\left(\frac{x}{2}\right)-5$

11.

a)

A

b)

B

c)

C

d)

D

12.

Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.

a)

y = 5cos(x - pi) + 3

b)

y = 3cos(x - pi) + 5

c)

y = 3cos(2x - pi) + 5

d)

y = 5cos(2x - pi) + 3

13.

The __________ represents half the height of a sine or cosine graph.

a)

Period

b)

Midline

c)

Range

d)

Amplitude

14.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

15.

What are the Amplitude, Period and Midline of this sin graph?

a)

Amp = 3
Period = $2\pi$ Midline - y = -1

b)

Amp = 3

Period =

\pi

Midline - y = 3

c)

Amp = 2
Period = $3\pi$
Midline - y = 0

d)

Amp = 2
Period = $2\pi$
Midline - y = 1

16.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

17.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

18.

Write an equation of a sine function with a period of π and amplitude of 7.

a)

y=7sin2πx

b)

y=7sinπx

c)

y=2sin7x

d)

y=7sin2x

19.

Sine or Cosine

a)

sine

b)

cosine

20.

Sine or Cosine

a)

sine

b)

cosine

Sine and Cosine Equations

Total questions: 20

Worksheet time: 20mins

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