SOLUTION: Evaluate each expression under the given conditions. tan(x+y) given cos(x)=-(1/3) in Quadrant III and sin(y) = 1/4 in Quadrant II

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Question 1040563: Evaluate each expression under the given conditions.
tan(x+y)

given cos(x)=-(1/3) in Quadrant III
and sin(y) = 1/4 in Quadrant II

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!


To find , use the fact that for all angles x (Pythagorean thm.). You already know so you can determine sin x (note: angle x is in quadrant 3, so sin x is negative).

Do the same thing for determining cos y.

Once you have found these two values, you have enough information to determine tan x and tan y, and tan (x+y).