If ⁻¹ p- cosec ⁻¹ q=0 , where p 0, q 0 ; then what is the value of p ⁻²+ q ⁻² ?

Step-by-step solution

aligned & Given, ⁻¹ p - cosec ⁻¹ q =0 & ⁻¹ ( 1 p )= ⁻¹ ( 1 q ) & ( 1 p )^2+ ( 1 q )^2=1 & p ⁻²+ q ⁻²=1 aligned