Understanding Trigonometric Equations

Practice Questions

Trigonometry › Understanding Trigonometric Equations

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1

Which of these sine functions fulfills the following criteria?

Range of
Period of $2 \pi$
-intercept of
$f(\pi) = -1$

2

Which of these sine functions fulfills the following criteria?

Range of
Period of $2 \pi$
-intercept of
$f(\pi) = -1$

3

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?

4

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?

5

Factor $1-2\cos x+\cos^2 x$ .

6

Factor $1-2\cos x+\cos^2 x$ .

7

Which of the following values of in radians satisfy the equation

$\frac{\pi}{4}$
$\frac{\pi}{2}$
$\frac{3\pi}{4}$

8

Which of the following values of in radians satisfy the equation

$\frac{\pi}{4}$
$\frac{\pi}{2}$
$\frac{3\pi}{4}$

9

$f(x)=\sin^2(x)+\cos^2(x)-\sin(2x)$

Find the zeros of the above equation in the interval

$[0,\pi]$ .

10

$f(x)=\sin^2(x)+\cos^2(x)-\sin(2x)$

Find the zeros of the above equation in the interval

$[0,\pi]$ .

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