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Some Applications Of Trigonometry

Question

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Without using trigonometric table, evaluate:
$cos space left parenthesis 40 degree plus straight theta right parenthesis minus sin left parenthesis 50 degree minus straight theta right parenthesis plus fraction numerator cos squared 40 degree plus cos squared 50 degree over denominator sin squared 40 degree plus sin squared 50 degree end fraction$

Solution

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Ans. 1

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