Question : The value of $\frac{1+\sin A}{\cos A}+\frac{\cos A}{1+\sin A}$ is:

Option 1: $2 \sec A$

Option 2: $2 \operatorname{cosec} A$

Option 3: $ \sec A$

Option 4: $ \operatorname{cosec} A$

Question : What is the value of the expression: $\sin A(1+\frac{\sin A}{\cos A})+\cos A(1+\frac{\cos A}{\sin A})$?

Option 1: $\sec A+\operatorname{cosec}A$

Option 2: $\sin \mathrm{A}+\cos \mathrm{A}$

Option 3: $\sin \mathrm{A}-\cos \mathrm{A}$

Option 4: $\sec \mathrm{A}-\operatorname{cosec} \mathrm{A}$

Question : What is the value of $\frac{1+\sin A}{\cos ^2 A}$?

Option 1: $\frac{1}{1-\sin A}$

Option 2: $\frac{1}{1+\sin A}$

Option 3: $\frac{1}{1+\cos A}$

Option 4: $\frac{1}{1-\cos A}$

Question : Find the value of the following expression $\frac{(1+\sec\phi)}{\sec\phi}(1-\cos\phi)$.

Option 1: $\cos ^2 \phi$

Option 2: $\sec ^2 \phi$

Option 3: $\cot ^2 \phi$

Option 4: $\sin ^2 \phi$

Question : Simplify the following expression: $\frac{1-\sin A}{\cos A}+\frac{\cos A}{1-\sin A}$

Option 1: $2 \cos A$

Option 2: $2 \tan A$

Option 3: $2 \sec A$

Option 4: $2 \sin A$