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Some Applications Of Trigonometry

Question

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Without using trigonometric tables, evaluate the following:
$left parenthesis sin squared 25 degree space plus space sin squared 65 degree right parenthesis space plus space square root of 3 left parenthesis tan 5 degree. space tan 15 degree. space tan 30 degree. space tan 75 degree. space tan 85 degree. right parenthesis$

Solution

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Ans. 2

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