Question

Approach

Step-by-step working

1. 1

   LHS = $\sqrt{\frac{\csc A-1}{\csc A+1}}\times \frac{\csc A-1}{\csc A-1}$

   1 mark
2. 2

   $=\sqrt{\frac{(\csc A-1{)}^2}{{\cot }^{2}A}}=\frac{\csc A-1}{\cot A}$

   1 mark
3. 3

   $=\frac{\csc A}{\cot A}-\frac{1}{\cot A}=\sec A-\tan A=$ RHS

   1 mark

Concepts used