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Home › UP Board Class 10 › mathematics › intro_trigonometry › Simplify (sin A + cos A)² + (sin A − cos A)².

Simplify (sin A + cos A)² + (sin A − cos A)².

A1
B2 sin A cos A
C0
D2
Answer & Solution
Correct answer: D. 2
Expand: (sin²A + 2 sin A cos A + cos²A) + (sin²A − 2 sin A cos A + cos²A) = 2(sin²A + cos²A) = 2 · 1 = 2.
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