Question

Find the value of tan(sin^-1(½)) a. sqr3 C. sqr3/3 B. -sqr3 D. -Sqr3/3

Answer 1

Answer:

C

Step-by-step explanation:

Given

tan($sin^{-1}$($\frac{1}{2}$))

Evaluate

$sin^{-1}$($\frac{1}{2}$) = 30°, then

tan30° = $\frac{1}{\sqrt{3} }$ ← rationalise the denominator

           = $\frac{1}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{\sqrt{3} }{3}$ → C