Question

Find the exact value of (Theta) if possible without using a calculator:

(Theta) = sin^-1(Tan(60*))

Answer 1

\[\Theta=\sin^{-1} (\tan (60))\]

Answer 2

do you know tan(60) = ?
so than not you can rewrite it like (sin60)/(cos60) = ?
hope you know sin60 and cos60 = ?

Answer 3

yeah the answer using the calc. is .3257721186

Answer 4

ok so without calculator

sin60 = sqrt3 /2
cos60 = 1/2

Answer 5

so than tan60 = (sqrt3 /2)/(1/2) = (sqrt3 /2) *2 = sqrt3

yes ?

Answer 6

yes that it!
thank you!!

Answer 7

so was my pleasure than these will help you

good luck

bye bye