Home » Given that sin (theta) = -0.9063, where O (leq) (theta) (leq) 270°, find (theta).

Given that sin (theta) = -0.9063, where O (leq) (theta) (leq) 270°, find (theta).

Given that sin (theta) = -0.9063, where O (leq) (theta) (leq) 270°, find (theta).

A.
65^o
B.
115^o
C.
145^o
D.
245^o
E.
265^o

Correct Answer: Option D

Explanation

Sin(theta) = -0.9063; (theta) = sin-1(0.9063)
(theta) = -64.99 = -65°
(theta) = 180° – (-65);
180 + 65 = 245°