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Some Applications Of Trigonometry

Question

Evaluate:
$2 open parentheses fraction numerator cos squared 20 degree plus cos squared 70 degree over denominator sin squared 25 degree plus sin squared 65 degree end fraction close parentheses minus tan 45 degree plus tan 13 degree. space tan 23 degree. space tan space 30 degree. space tan space 67 degree comma space tan 77 degree.$

Solution

Solution not provided.
Ans. $fraction numerator square root of 3 plus 1 over denominator square root of 3 end fraction$