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Hi, can you answer the second question for me (number 4)?

Hi, can you answer the second question for me (number 4)?-example-1

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Solution

4.


\begin{gathered} (cos\theta)/(1+sin\theta)+(cos\theta)/(1-sin\theta)=(cos\theta(1-sin\theta)+cos\theta(1+sin\theta))/((1+sin\theta)(1-sin\theta)) \\ \\ (cos\theta)/(1+sin\theta)+(cos\theta)/(1-sin\theta)=(cos\theta-sin\theta cos\theta+cos\theta+sin\theta cos\theta)/(1-sin^2\theta) \\ \\ (cos\theta)/(1+sin\theta)+(cos\theta)/(1-sin\theta)=(2cos\theta)/(cos^2\theta) \\ \\ (cos\theta)/(1+sin\theta)+(cos\theta)/(1-sin\theta)=(2)/(cos\theta) \\ \\ (cos\theta)/(1+sin\theta)+(cos\theta)/(1-sin\theta)=2sec\theta \end{gathered}

User Nikhil Singh
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