luisgamboa191
luisgamboa191 luisgamboa191
  • 19-09-2019
  • Mathematics
contestada

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



Respuesta :

jimrgrant1 jimrgrant1
  • 19-09-2019

Answer:

C

Step-by-step explanation:

Given

tan([tex]sin^{-1}[/tex]([tex]\frac{1}{2}[/tex]))

Evaluate

[tex]sin^{-1}[/tex]([tex]\frac{1}{2}[/tex]) = 30°, then

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] ← rationalise the denominator

           = [tex]\frac{1}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] → C

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