Use tan x = 5/12 where 0 < x < 90, to answer the following questions. part a: what is sin x? part b: what is cos x? part c: what is sin(x + 2pi/3)?and you. btw the 0 and 90 are in degrees.

Try this solution:

Part A: note, that tanx=1/ contanx. Using this property and formula 1+contan²x=1/ sin²x, it is possible to find sinx:

Part B: if tanx=5/12, then using the formula 1+tan²x=1/cos²x it is possible to find cosx:

Part C: note, that sin(x+2pi/3)=sinx*cos2pi/3+sin2pi/3*cosx=-0.5sinx+√3/2cosx, where sinx=5/13 and cosx=12/13.