Question
Download Solution PDFsec2 A + (cosec2 A - 1) - (1 + tan2 A) - cot2 A = ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
sec2 A + (cosec2 A - 1) - (1 + tan2 A) - cot2 A = __
Concept Used:
Pythagorean trigonometric identities:
cosec2 θ – 1 = cot2 θ
1 + tan2 θ = sec2 θ
Calculation:
⇒ sec2 A + (cosec2 A - 1) - (1 + tan2 A) - cot2 A
Putting the values according to the trigonometric identities,
⇒ sec2 A + cot2 A – sec2 A – cot2 A = 0
Therefore, the required value of sec2 A + cot2 A – sec2 A – cot2 A is 0.
Hence, the correct answer is option (2).
Last updated on Jun 30, 2025
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