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Some Applications Of Trigonometry

Question

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Without using trignometric tables, evaluate the following:
$fraction numerator cosec squared 65 degree minus tan squared 25 degree over denominator sin squared 17 degree plus sin squared 73 degree end fraction plus fraction numerator 1 over denominator square root of 3 end fraction left parenthesis tan space 10 degree. space tan space 30 degree. space tan space 80 degree. right parenthesis$

Solution

Solution not provided.
Ans. $4 over 3$

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