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

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) (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).
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