If ⁻¹ x= cosec ⁻¹ y , then ⁻¹ 1 x + ⁻¹ 1 y is equal to

Step-by-step solution

Given that, ⁻¹ x= cosec ⁻¹ y or ⁻¹ ( 1 x )= ⁻¹ ( 1 y ) On adding ⁻¹ ( 1 y ) on both sides, we get ⁻¹ ( 1 x )+ ⁻¹ ( 1 y )= ⁻¹ ( 1 y )+ ⁻¹ ( 1 y ) ⁻¹ ( 1 x )+ ⁻¹ ( 1 y )= 2 [ ⁻¹ + ⁻¹ = 2 ]