# Solving trigonometric equations: Give the two smallest solutions of cos(5theta)=0.1495, on [0,2pi). Where do I begin?

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#cos(5theta)=-0.1495#

given: #[0,pi)#

I have no clue where to start here!!!

given:

I have no clue where to start here!!!

##### 2 Answers

Please see below.

#### Explanation:

.

If what is listed in small print is correct and your domain is

What you typed is

2 smallest:

#### Explanation:

cos 5t = 0.1495

Calculator and unit circle give 2 solutions for (5t):

a.

k = 0 --> t = 16.28; k = 1 --> t = 88.28; k = 2 --> t = 160.28;

k = 3 --> t = 232.28; k = 4 --> t = 304.28

b.

k =0 --> t = 55.72; k = 1 --> t = 127.72; k = 2 --> t = 199.72;

k = 3 --> t = 271.72; k = 4 --> t = 343.72.

Therefor, for (0, 360), the 2 smallest values of t are: