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
Algebra ->
Trigonometry-basics
-> 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
Log On
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).