Question

4sin²(x-10°)-cos0° =2 find x

Answer 1

Answer:

X will have two values 70° and 250°.

Step-by-step explanation:

Values we need to know are

cos 0° = 1 , sin 60°= √3/2 , cos 30°= √3/2 , sin 240° = - √3/2

Solving,

4 sin^2(x-10°) - cos 0° = 2

4 sin^2(x-10°) - 1 = 2

sin^2 (x-10°) = 3/4

Taking square root both side we get,

sin (x-10°) = + √3/2 and sin (x-10°) = - √3/2

x-10°= 60° and x-10° = 240°

x = 70° , 250°