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Question

Mathematics Question on Introduction to Trigonometry

If acosθ+bsinθ=p, asinθbcosθ=q,acosθ + bsinθ=p, \ asinθ - bcosθ=q, then

A

a2+b2=p2+q2a^2 + b^2 = p^2 + q^2

B

a2+b2=p2q2a^2 + b^2 = p^2 - q^2

C

a2b2=p2+q2a^2 - b^2 = p^2 + q^2

D

a2b2=p2q2a^2 - b^2 = p^2 - q^2

Answer

a2+b2=p2+q2a^2 + b^2 = p^2 + q^2

Explanation

Solution

The correct option is (A): a2+b2=p2+q2a^2 + b^2 = p^2 + q^2.