Write the expression in algebraic form. [Hint: Sketch a right triangle.] sin(arcsec(x))

Question

Write the expression in algebraic form. [Hint: Sketch a right triangle.]

sin(arcsec(x))

Answer 1

sin(arcsec(x));

Let arcsecx = θ; 0 ≤ θ ≤ π, θ ≠ π/2, then secθ = x; cosθ = 1/x sinθ = sin(arcsec(x)) = √(1 - 1/x²)