Setting Up Trigonometric Equations

Practice Questions

Trigonometry › Setting Up Trigonometric Equations

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1

Which of these sine functions fulfills the following criteria?

  • Range of
  • Period of
  • -intercept of
2

A sine function where is time measured in seconds has the following properties:

  • Amplitude of
  • Minimum of
  • No phase shift
  • Frequency of Hz (cycles per second)

is which of these functions?

3

A triangle has sides , , of lengths , , respectively. The angle opposite each side is called , , , respectively. The sine of which angle and the cosine and which different angle will both yield

In the answer, list the sine first and the cosine second.

4

Solve the equation over the domain (answer in degrees).

5

Solve each equation over the domain (answer in degrees).

6

Solve each equation over the domain (answer in degrees).

7

Solve each equation over the interval

8

Solve each quation over the interval

9

Solve for using trigonometric ratios.

Set up trig 1

10

Solve for using trigonometric ratios.

Set up trig 2

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