Question : The given expression is equal to:
$1-\frac{\tan ^2 \phi}{\sec ^2 \phi}$

Option 1: $\operatorname{sin}^2 \phi\cos ^2 \phi$

Option 2: $\operatorname{sin}^2 \phi\cot ^2 \phi$

Option 3: $\cot^2 \phi \cos^2 \phi$

Option 4: $\tan^2 \phi\cos^2 \phi$

Question : Simplify the given expression.
$\sqrt{\frac{1+\cos P}{1-\cos P}}$

Option 1: $\operatorname{cosec}P-\cot P$

Option 2: $\sec P-\tan P$

Option 3: $\sec P+\tan P$

Option 4: $\operatorname{cosec} P+\cot P$

Question : The value of $\frac{\sin\theta-2\sin^{3}\theta}{2\cos^{3}\theta-\cos\theta}$ is equal to:

Option 1: $\sin\theta$

Option 2: $\cos\theta$

Option 3: $\tan\theta$

Option 4: $\cot\theta$

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 : $\frac{\cos \theta}{\sec \theta-1}+\frac{\cos \theta}{\sec \theta+1}$ is equal to :
 

Option 1: $2 \sec ^2 \theta$

Option 2: $2 \cot ^2 \theta$

Option 3: $2 \cos ^2 \theta$

Option 4: $2 \sin ^2 \theta$