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Some Applications Of Trigonometry

Question
CBSEENMA10008267
Wired Faculty App

Prove the following identity:
sec to the power of 6 straight theta space equals space tan to the power of 6 straight theta space plus space 3 space tan space straight theta. space secθ plus 1

Solution

 sec to the power of 6 straight theta space equals space tan to the power of 6 straight theta plus 3 tanθ. space secθ space plus 1 straight L. straight H. straight S. equals space sec to the power of 6 straight theta space equals space left parenthesis sec squared straight theta right parenthesis cubed space space space space space space space space space space space equals space left parenthesis tan squared straight theta plus 1 right parenthesis cubed space space space space space space space space space space space space equals space left parenthesis tan squared straight theta right parenthesis cubed space plus space left parenthesis 1 right parenthesis cubed plus 3 left parenthesis tan squared straight theta right parenthesis space left parenthesis 1 right parenthesis space left parenthesis tan squared straight theta plus 1 right parenthesis space space space space space space space space space space space space equals space tan to the power of 6 straight theta space plus space 1 plus 3 tan squared straight theta. space sec squared straight theta space space space space space space space space space space space space space space space equals straight R. straight H. straight S.
Hence, L.H.S. = R.H.S.

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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