The value of sin²38° + sin²52° + sin²30° - tan²45° is equal to:

A. $$\frac{1}{3}$$

B. $$\frac{1}{4}$$

C. $$\frac{3}{4}$$

D. $$\frac{1}{2}$$

Answer: Option B

Solution(By Examveda Team)

sin²38° + sin²52° + sin²30° - tan²45°
= sin²38° + cos²38° + $${\left( {\frac{1}{2}} \right)^2}$$ - 1   [Here sin²θ + cos²θ = 1]
= 1 + $$\frac{1}{4}$$ - 1
= $$\frac{1}{4}$$