Question

The angle \theta_1θ

Answer 1

Answer:

sin ( θ ) = 3√21 / 17

Step-by-step explanation:

Given:-

- The angle (θ) lies in the first quadrant. Where theta is defined as:

                              cos ( θ ) = 10 / 17

Find:-

- Find sin ( θ ) :

Solution:-

- We will draw a right angle triangle in the first quadrant. With base, B = 10 and hypotenuse H = 17. Since,

                              cos ( θ ) = B / H = 10 / 17

- Using pythagorean theorem determine the perpendicular side length:

                              H^2 - B^2 = P^2

                              17^2 - 10^2 = P^2

                              √189 = P

                             P = 3√21

- Now evaluate sin ( θ ):

                              sin ( θ ) = P / H

                              sin ( θ ) = 3√21 / 17