Respuesta :
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
