If ⁻¹ ( x 5 )+ cosec ⁻¹ ( 5 4 )= 2 , then the value of x is

Step-by-step solution

aligned & ⁻¹ ( x 5 )+ cosec ⁻¹ ( 5 4 )= 2 & ⁻¹ ( x 5 )+ ⁻¹ ( 4 5 )= 2 & ⁻¹ ( x 5 )= 2 - ⁻¹ ( 4 5 ) & ⁻¹ ( x 5 )= ⁻¹ ( 4 5 ) [ ⁻¹ x+ ⁻¹ x= 2 ] & ⁻¹ ( x 5 )= ⁻¹ ( 3 5 ) [ ⁻¹ x= ⁻¹ 1-x^2 ] & x=3 aligned