If m + 5 = sec2Acosec2A(1 − cos2A)(1 − sin2A) + 5, then find the value of m:
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 1.
m + 5 = sec2Acosec2A(1 − cos2A)(1 − sin2A) + 5
⇒ m = sec2Acosec2A(1 − cos2A)(1 − sin2A)
⇒ m = (1/cos2A)(1/sin2A)(sin2A)(cos2A)
⇒ m = (sin2A cos2A)/(sin2A cos2A) = 1
Therefore, the value of m is 1.