Question

Find x if 2sin²x - 1 = 0

• A. $$\frac{\pi}{4}$$
• B. $$\frac{\pi}{2}$$
• C. 0
• D. $$\pi$$

Answer 1

Answer:

$$\frac{\pi}{4}$$

Solution:

Given 

2in2x - 1 = 0

Formula Used 

Radian = (π/180) × angle in degree 

Calculation 

⇒ 2sin2x - 1 = 0

⇒ 2sin²x = 1 

⇒ sinx = 1/√2 

⇒ x = 45° 

⇒ x (In radian) = (π/180) × 45° = π/4  

∴ the value of x is π/4