trig
posted by student .
Let Q be an acute angle such that sinQ=.6. Find the values of the following using Trig Identities: cosQ and tanQ

sin^1(.6) = 36.8 degrees
cos36.8 = .80
tan36.8 = .748 
They probably wanted exact values without using a calculator.
given sinQ = .6 = 6/10 or 3/5
so Q is in a right angled triangle with opposite side of 3 and hypotenuse of 5.
You should recognize the famous 345 rightangled triangle.
then
cosQ = 4/5 or .8
tanQ = 3/4 or .75
these values are "exact" 
You can do it this way:
sin^2 + cos^2=1
.36+cos^2=1
solve for cosTheta.
Then finally, tanTheta= sinTheta/CosTheta 
your amazing.