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: $2 \sin A$

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 : The value of $x$ in the expression $\tan^{2}\frac{\pi }{4}-\cos^{2}\frac{\pi }{3}=x\sin\frac{\pi }{4}\cos\frac{\pi }{4}\tan\frac{\pi }{3}$ is:

Option 1: $\frac{2}{\sqrt{3}}$

Option 2: $\frac{3\sqrt{3}}{4}$

Option 3: $\frac{1}{\sqrt{3}}$

Option 4: $\frac{\sqrt{3}}{2}$

Question : If $\sin A+\sin ^2 A=1$, then the value of the expression $\left(\cos ^2 A+\cos ^4 A\right)$ is

Option 1: $\frac{3}{2}$

Option 2: $1$

Option 3: $2$

Option 4: $\frac{1}{2}$

Question : If $\tan \mathrm{A}=\frac{3}{4}$, then find the value of the following expression $\frac{6 \sin A}{1-\sin A}$.

Option 1: 18

Option 2: 9

Option 3: 24

Option 4: 12