question archive Regardless of the unit you use for the angle, the following relations hold: sin(a+b)=sin(a)cos(b)+cos(b)sin(a)sin(a+b)=sin(a)cos(b)+cos(b)sin(a) sin(a−b)=sin(a)cos(b)−cos(b)sin(a)sin(a-b)=sin(a)cos(b)-cos(b)sin(a) cos(a+b)=cos(a)cos(b)−sin(a)sin(b)cos(a+b)=cos(a)cos(b)-sin(a)sin(b) cos(a−b)=cos(a)cos(b)+sin(a)sin(b)cos(a-b)=cos(a)cos(b)+sin(a)sin(b) (you can check them out here ) You only need to recognize the right case: sin(45)cos(15)+cos(45)sin(15)sin(45)cos(15)+cos(45)sin(15) is an expression of the form sin(a)cos(b)+cos(b)sin(a)sin(a)cos(b)+cos(b)sin(a), which is the sine of the sum of the angles, so sin(45)cos(15)+cos(45)sin(15)=sin(45+15)=sin(60)=3–√2
Regardless of the unit you use for the angle, the following relations hold: sin(a+b)=sin(a)cos(b)+cos(b)sin(a)sin(a+b)=sin(a)cos(b)+cos(b)sin(a) sin(a−b)=sin(a)cos(b)−cos(b)sin(a)sin(a-b)=sin(a)cos(b)-cos(b)sin(a) cos(a+b)=cos(a)cos(b)−sin(a)sin(b)cos(a+b)=cos(a)cos(b)-sin(a)sin(b) cos(a−b)=cos(a)cos(b)+sin(a)sin(b)cos(a-b)=cos(a)cos(b)+sin(a)sin(b) (you can check them out here ) You only need to recognize the right case: sin(45)cos(15)+cos(45)sin(15)sin(45)cos(15)+cos(45)sin(15) is an expression of the form sin(a)cos(b)+cos(b)sin(a)sin(a)cos(b)+cos(b)sin(a), which is the sine of the sum of the angles, so sin(45)cos(15)+cos(45)sin(15)=sin(45+15)=sin(60)=3–√2
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Regardless of the unit you use for the angle, the following relations hold:
sin(a+b)=sin(a)cos(b)+cos(b)sin(a)sin(a+b)=sin(a)cos(b)+cos(b)sin(a) sin(a−b)=sin(a)cos(b)−cos(b)sin(a)sin(a-b)=sin(a)cos(b)-cos(b)sin(a) cos(a+b)=cos(a)cos(b)−sin(a)sin(b)cos(a+b)=cos(a)cos(b)-sin(a)sin(b) cos(a−b)=cos(a)cos(b)+sin(a)sin(b)cos(a-b)=cos(a)cos(b)+sin(a)sin(b)
(you can check them out here )
You only need to recognize the right case: sin(45)cos(15)+cos(45)sin(15)sin(45)cos(15)+cos(45)sin(15) is an expression of the form sin(a)cos(b)+cos(b)sin(a)sin(a)cos(b)+cos(b)sin(a), which is the sine of the sum of the angles, so sin(45)cos(15)+cos(45)sin(15)=sin(45+15)=sin(60)=3–√2
