Question

Find a solution with theta in radians (of possible)
1. tan(theta)=947
3. 3cos(theta)=0.714
5. tan(5(theta)+7=-0.241

Answer 1

please explain how you solve for these. I don't get them.

Answer 2

1. theta = 1.5697 radians -this is the angle whose tan is 947 - use calculator
use the tan-1 key

Answer 3

1. tan(theta)947
theta = arctan(947)
theta = 1.56974

3. 3cos(theta)=0.714
3cos(theta)/3=0.714/3
theta = arccos(0.238)
theta = 1.33049

5. tan(5(theta))+7 = -0.241
tan(5(theta)) = -7.241
5(theta) = arctan(-7.241)
theta = -1.433562/5
theta = -0.286712

Answer 4

3. cos theta = 0.714/3 - use calculator cos-1 gives 1.33 radians

Answer 5

5 - theta = -0.287 radians