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If P and Q are two complementary angles, find the value of (sin P + sin Q)².

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1- 2sin P cos p

1-sin P + sin p

1+2sin P + sin p

1+2 sin P cos P

answer is D.

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Detailed Solution

Since P are Q are complementary angles,

Therefore, sin Q = sin (90° - P) = cos P

Therefore, (sin P + sin Q)² = (sin P + cos P)²

= sin² P + cos² P + 2 sin P cos P

= (sin² P + cos² P) + 2 sin P cos P

= 1 + 2 sin P cos P.

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