Question

If sec^theta(1+sin theta)(1-sin theta)=K then find the value of k

Answer 1

Dear student
$$\begin{gathered} \mathrm{There}\mathrm{is}\mathrm{a}\mathrm{mistake}\mathrm{in}\mathrm{your}\mathrm{question}. \\ \mathrm{We}\mathrm{have}, \\ {\sec }^2\mathrm{\theta }\left(1+\mathrm{sin\theta }\right)\left(1-\mathrm{sin\theta }\right)=\mathrm{k} \\ \Rightarrow {\sec }^2\mathrm{\theta }\left(1-{\sin }^2\mathrm{\theta }\right)=\mathrm{k} \\ \Rightarrow {\sec }^2\mathrm{\theta }\times {\cos }^2\mathrm{\theta }=\mathrm{k} \\ \Rightarrow 1=\mathrm{k} \\ \Rightarrow \mathrm{k}=1 \end{gathered}$$
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