The value of sin238° – cos252° is:

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The value of sin238° – cos²52° is:

A√2

D1/√2

Answer:

Given:

sin²38^° – cos²52^°

Concept Used:

sin²θ + cos²θ = 1

sin(90^°– θ ) = cosθ

Calculation:

sin²38^°– cos²52^°= sin²38^°– sin²(90^° – 52^°)

⇒ sin²38^° – sin²38^°

⇒ 0

⇒ sin²38^° – cos²52^° = 0

∴ sin²38^° – cos²52^° = 0

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