Question
If A and B are complementary angles, then the
value of- sin A cos B + cos A sin B – tan A tan B + sec 2 A – cot 2 B is–Solution
sin A cos B + cos A sin B – tan A tan B + sec2 A – cot2 B
= sinA sin A + cosA cosA – tanA. cot A + sec2A – tan2B
= (sin2A + cos2A) – 1 + (1)
= 1 – 1 + 1
= 1
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