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