SOLUTION: tan theta=2 find the five other trigonometric function values

Question 894134: tan theta=2 find the five other trigonometric function values

Found 2 solutions by Theo, Edwin McCravy:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
tan(theta) = 2
this means that opposite divided by adjacent is equal to 2.
this can occur if opposite = 2 and adjacent = 1
this would make hypotenuse equal to sqrt(2^2 + 1^2) = sqrt(5).
your other functions would then be:

sin (theta) = opp/hyp = 2/sqrt(5) = 2*sqrt(5)/5

cos(theta) = adj/hyp = 1/sqrt(5) = sqrt(5)/5

tan(theta) = opp/adj = 2/1 = 2

cot(theta) = adj/opp = 1/2

sec(theta) = hyp/adj = sqrt(5)/1 = sqrt(5)

csc(theta) = hyp/opp = sqrt(5)/2

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

The other tutor assumed you meant only the first quadrant. But the tangent is positive in both the first and the third quadrants. Two cases. is in quadrant 1, and quadrant 3 Case 1, the only one the other tutor considered): so take y=2, x=1 Case 2: so take y=-2, x=-1 Edwin

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