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Some Applications Of Trigonometry

Question
CBSEENMA10007840

If 15 cot θ = 8, then find the value of
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Solution
We have,
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Now,    space fraction numerator left parenthesis 1 minus sinθ right parenthesis thin space left parenthesis 1 plus sin space straight theta right parenthesis over denominator left parenthesis 1 plus cosθ right parenthesis thin space left parenthesis 1 minus cosθ right parenthesis end fraction space equals space fraction numerator 1 minus sin squared straight theta over denominator 1 minus cos squared straight theta end fraction
equals space fraction numerator cos squared straight theta over denominator sin squared straight theta end fraction space equals space cot squared straight theta space equals space open parentheses 8 over 15 close parentheses squared space equals space 64 over 225 Ans.

Some More Questions From Some Applications of Trigonometry Chapter

In ΔABC, right angled at B. AB = 24 cm, BC = 7 cm. Determine:
(i) sin A cos A,
(ii) sin C, cos C.