If cosec 31° = x, then sec 59° cosec 31° − (sec2θ – tan2θ) is equal to:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. x2 – 1
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Understanding |
Application |
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Given that: sec 59° cosec 31° − (sec2θ – tan2θ)
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sec 59° cosec 31° − (sec2θ – tan2θ) ⇒ sec (90° − 31°) cosec 31° − 1 ⇒ cosec 31° cosec 31° − 1 ⇒ cosec231° − 1 Since, cosec 31° = x ⇒ x2 – 1 |