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Some Applications Of Trigonometry

Question
CBSEENMA10007959
Wired Faculty App

Without using trignometric tables, evaluate the following:
2 open parentheses fraction numerator cos space 58 degree over denominator sin space 32 degree end fraction close parentheses minus square root of 3 open parentheses fraction numerator cos space space 38 degree space cosec space 52 degree over denominator tan space 15 degree space tan space 60 degree space tan space 75 degree end fraction close parentheses

Solution
2 open parentheses fraction numerator cos space 58 degree over denominator sin space 32 degree end fraction close parentheses minus square root of 3 open parentheses fraction numerator cos space 38 degree space cosec space 52 degree over denominator tan space 15 degree space tan space 60 degree space tan space 75 degree end fraction close parentheses
space space equals space 2 open parentheses fraction numerator cos space left parenthesis 90 degree minus 32 degree right parenthesis over denominator sin space 32 degree end fraction close parentheses minus space square root of 3 open parentheses fraction numerator cos space 38 degree space cosec space 52 degree over denominator tan space 15 degree space tan space 60 degree space tan space 75 degree end fraction close parentheses space equals space 2 open parentheses fraction numerator sin space 32 degree over denominator sin space 32 degree end fraction close parentheses space minus space square root of 3 space open parentheses fraction numerator cos space left parenthesis 90 degree minus 52 degree right parenthesis space cosec space 52 degree over denominator tan space 15 degree space tan left parenthesis 90 minus 15 degree right parenthesis space tan space 60 degree end fraction close parentheses space equals space 2 open parentheses fraction numerator sin space 32 degree over denominator sin space 32 degree end fraction close parentheses minus square root of 3 space open parentheses fraction numerator sin space 52 degree space cosec space 52 degree over denominator tan space 15 degree space cot space 15 degree space square root of 3 end fraction close parentheses space equals space 2 space cross times space 1 space minus space square root of 3 open square brackets fraction numerator 1 over denominator 1 cross times square root of 3 end fraction close square brackets space equals space 2 minus 1 space equals space 1

Some More Questions From Some Applications of Trigonometry Chapter

Choose the correct option and justify your choice:
sin 2A = 2 sin A is true when A = 
(A) 0°         (B) 30°         (C) 45°       (D) 60°

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