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Grade 10Trigonometry

If 5cosec theta - 2cot theta = 5
Then find 5cot theta - 2 cosec theta

Profile image of JD Agrawal
8 Years agoGrade 10
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1 Answer

Profile image of Nisarg Chadha
8 Years ago
5cosecQ-2cotQ=525cosec^2Q+4cot^Q-20cosecQ.cotQ=2520cosecQ.cotQ=29cosec^Q-4-25(as cot^Q=cosec^2Q-1)So 25cot^2Q+4cosec^2Q-20cosecQcotQ=4cosec^2Q-4cot^2Q+29(using value of 20cisecQcotQ)=4+29=33