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–

A 1 Correct Answer Incorrect Answer
B -1 Correct Answer Incorrect Answer
C 2 Correct Answer Incorrect Answer

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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