Question

sin^-1⁡x+cos^1⁡x= ___

(a) \(\frac{π}{2}\)

(b) π

(c) \(\frac{π}{3}\)

(d) 2π

The question was asked by my school principal while I was bunking the class.

My doubt stems from Properties of Inverse Trigonometric Functions in portion Inverse Trigonometric Functions of Mathematics – Class 12

Answer 1

The correct option is (a) \(\frac{π}{2}\)

The explanation: sin^-1⁡x+cos^-1⁡x=\(\frac{π}{2}\); x∈[-1,1]