Answer to Question #129850 in Trigonometry for Hetisani Sewela

Question

Find the exact value of tan (sin^-1(-1/2))



Answer 1

$sin^{-1}(-\frac{1}{2}) = -30^ o$ Or $150^o$

$tan 150 ^o= - \frac{1}{\sqrt3}$

$tan(sin^{-1}(-\frac{1}{2})) =$ $-\frac{1}{\sqrt3}$