Sec[sin-1 square root of 3 over 2]

Answer: √3/2

Step-by-step explanation:

Sin[sin⁻¹ (√3/2) ]

sin⁻¹ (√3/2 = 60°

60° is the acute angle, in the first quadrant

Therefore;

Sin[sin⁻¹ (√3/2) ] = sin 60°; since sin⁻¹ (√3/2 = 60°

Sin 60° = √3/2

Therefore, the answer = √3/2