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  • Choose the correct option. Justify your choice. (sec A + tan A)(1 - sin A) =

4.    Choose the correct option. Justify your choice.

      (iii) (\sec A+\tan A)(1-\sin A)=

      (A)\sec A   (B)\sin A  (C)cosec A   (D) \cos A

Answers (1)

best_answer

The correct option is (D)

(\sec A+\tan A)(1-\sin A)=
\\ \Rightarrow ( \frac{1}{\cos A}+\frac{\sin A}{\cos A})(1-\sin A)\\\\ \Rightarrow \frac{1+\sin A}{\cos A}(1-\sin A)\\\\ \Rightarrow \frac{1-\sin^2 A}{\cos A}\\\\\Rightarrow \cos A

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manish

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