AP EAMCET202125 Aug 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual
What is the value of ⁻¹ 12 13 + ⁻¹ 4 5 + ⁻¹ 63 16 is equal to
Options
- A2
- B6
- C3 4
Correct answer
A. 2
Step-by-step solution
⁻¹ ( 12 13 )+ ⁻¹ ( 4 5 )+ ⁻¹ ( 63 16 ) array r = ⁻¹ ( 12 13 )+ 2 - ⁻¹ ( 4 5 )+ ⁻¹ ( 63 16 ) ⁻¹ x+ ⁻¹ x= 2 = ⁻¹ ( 12 13 )- ⁻¹ ( 4 5 )+ 2 + ⁻¹ ( 63 (63)^2+(16)^2 ) ⁻¹ x ⁻¹ y= ⁻¹ (x 1-y^2 y .1-x^2 ) . = ⁻¹ 12 13 1- ( 4 5 )^2 - 4 5 1- ( 12 13 )^2 + 2 + ⁻¹ ( 63 65 ) array aligned & = ⁻¹ 12 13 3 5 - 4 5 5 13 + 2 + ⁻¹ ( 63 65 ) & = ⁻¹ ( 16 65 )+ ⁻¹ ( 63 65 )+ 2 & = ⁻¹ 16 65 1- ( 63 65 )^2 + 63 65 1- ( 16 65 )^2 + 2 & = ⁻¹(1)+ 2 2 + 2 = aligned