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The simplified value of (sec A – cos A)² + (cosec A – sin A)² – (cot A – tan A)² is
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- 0
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1 2 - 1
- 2
Correct Option: C
(sec A – cosA)² + (cosec A – sinA)² – (cot A – tan A)²
= sec²A + cos²A – 2secA cosA + cosec²A + sin²A– 2cosec A. sinA – cot²A – tan²A + 2 cotA. tanA
= sec²A – tan²A + cos²A+ sin²A + cosec²A – cot²A – 2
= 3 – 2 = 1
