The terminal side of θ passes through the point (−3,7).

Question

0

4124

3

What is the exact value of sinθ in simplified form?

758√58

−758√58

358√58

−358√58

Enter the value of arccos (0.21) as a decimal to the nearest hundredth of a degree in the box.

What is the exact value of arccos (12) in radians?

Guest Jan 13, 2018

CPhill · Answer 1 · 2018-01-13T01:33:53

(-3, 7) = (x, y)

sin θ = y / r = 7 / r

Where r = √ [x^2 + y^2 ] = √ [ (-3)^2 + 7^2] = √58

So

sin θ = 7 / √ 58

arccos (0.21) ≈ 77.88°

arccos (12) is impossible.....since -1 ≤ cosθ ≤ 1

Guest · Answer 2 · 2018-01-13T03:33:07

I apologize, its not 12, its (1/2)

hectictar · Answer 3 · 2018-01-13T03:52:03

arccos( 1/2 ) = 60° = π/3 radians