Evaluate sec2 54°-cot2 36°/cosec2 57°-tan2 33° + 2 sin2 38°sec2 52°-sin2 45°
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Answer:
(sec²54 - cot²36)/(cosec²57 - tan²33 + 2sin²38*sec²52 - sin²45)
= (sec²54 - tan²54)/(cosec²57-cot²57 + 2cos²52*sec²52 - sin²45 )
= (1)/(1+2cos²52*1/cos²52 -(1/√2)² )
=1/(1+2(1) - 1/2)
=1/(3-1/2)
=1/(5/2)
=2/5
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