NDA2015MathematicsInverse Trigonometric FunctionsActual
Consider x=4 ⁻¹ ( 1 5 ), y= ⁻¹ ( 1 70 ) and z= ⁻¹ ( 1 99 ) What is x-y equal to?
Options
- A⁻¹ ( 828 845 )
- B⁻¹ ( 8287 8450 )
- C⁻¹ ( 8281 8450 )
- D⁻¹ ( 8287 8471 )
Correct answer
C. ⁻¹ ( 8281 8450 )
Step-by-step solution
aligned & x-y= ⁻¹ ( 120 119 )- ⁻¹ 1 70 & = ⁻¹ | 120 119 - 1 70 1+ ( 120 119 1 70 ) | & = ⁻¹ | 8400-119 8330 1+ 120 8330 | aligned = ⁻¹ | 8281 8330 8450 8330 |= ⁻¹ 8281 8450 option (C) is correct.