Question

find x (0<x<π/2) satisfying : 2sin^2x=1/2​

Answer 1

Step-by-step explanation:

2Sin²x = 1/2

Sin²x = 1/4

Sinx = 1/2 = Sin30°

x = 30° = π/6

Answer 2

Answer:

π / 6 radians or 30°

Step-by-step explanation:

⇒ 2sin²x = 1/2

⇒ sin² x = 1/4

⇒ sin x = √1 / 4

⇒ sin x = ± 1 / 2

⇒ sin x = 1 / 2 or sin x = - 1 / 2

⇒ sin x = sin 30 or sin x = - sin 30

⇒ x = 30° or sin x = sin ( - 30 )

⇒ x = 30° or x = - 30

But x > 0

⇒ x = 30°

We know that

1° = π / 180

⇒ x = 30 × π / 180

⇒ x = π / 6

Therefore the value of x is π / 6 radians or 30°