What is the value of cos(sin⁻¹x)?
What is the value of cos(sin⁻¹x)?
Explanation
If θ = sin⁻¹x, then sin(θ) = x.
From the identity:
cos²θ + sin²θ = 1,
⇒ cos(θ) = √(1 − x²).
If θ = sin⁻¹x, then sin(θ) = x.
From the identity:
cos²θ + sin²θ = 1,
⇒ cos(θ) = √(1 − x²).