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Some Applications Of Trigonometry

Question

Evaluate: $fraction numerator secθ. space cosec space left parenthesis 90 degree minus straight theta right parenthesis space minus space tanθ. space cot space left parenthesis 90 degree minus straight theta right parenthesis plus sin squared 55 degree space plus space sin squared 55 degree over denominator tan space 10 degree. space tan space 20 degree. space tan space 60 degree. space tan space 70 degree. space tan space 80 degree end fraction$

Solution

Solution not provided.
Ans. $fraction numerator 2 square root of 3 over denominator 3 end fraction$