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

Sunday, May 19, 2013

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

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

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

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

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