Question

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

Answer 1

C

Explanation:

Given

tan(
`sin^(-1)`(
`(1)/(2)`))

Evaluate

`sin^(-1)`(
`(1)/(2)`) = 30°, then

tan30° =
`(1)/(√(3) )` ← rationalise the denominator

=
`(1)/(√(3) )` ×
`(√(3) )/(√(3) )` =
`(√(3) )/(3)` → C