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Some Applications Of Trigonometry

Question

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Without using trignometric tables, find the value of the following:
$open parentheses fraction numerator tan 20 degree over denominator cosec 70 degree end fraction close parentheses squared plus open parentheses fraction numerator cot space 20 degree over denominator sec space 70 degree end fraction close parentheses squared plus 2 tan 15 degree. space tan 45 degree. space tan 75 degree$

Solution

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Ans. 3

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