# 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

1. rick

sin^-1(.6) = 36.8 degrees

cos36.8 = .80
tan36.8 = .748

2. Reiny

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 3-4-5 right-angled triangle.
then
cosQ = 4/5 or .8
tanQ = 3/4 or .75

these values are "exact"

3. bobpursley

You can do it this way:
sin^2 + cos^2=1
.36+cos^2=1
solve for cosTheta.
Then finally, tanTheta= sinTheta/CosTheta

4. student

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