SOLUTION: Suppose sin a=((1)/(3)), with a in quadrant 1, and cos b=((3)/(4)), with b in quadrant 4 Find sin(a+b)

Algebra ->  Trigonometry-basics -> SOLUTION: Suppose sin a=((1)/(3)), with a in quadrant 1, and cos b=((3)/(4)), with b in quadrant 4 Find sin(a+b)      Log On


   

Question 750383: Suppose sin a=((1)/(3)), with a in quadrant 1, and cos b=((3)/(4)), with b in quadrant 4 Find sin(a+b)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!

All trig functions are positive in quad 1:
cos%28a%29=sqrt%281-%281%2F3%29%5E2%29=sqrt%288%29%2F3

In quadrant 4 sine is negative:
sin%28b%29=-sqrt%281-%283%2F4%29%5E2%29=-sqrt%287%29%2F4



%0D%0Asin%28a%2Bb%29=sin%28a%29cos%28b%29%2Bcos%28a%29sin%28b%29%0D%0A