How do you find the exact value of sin35cos60-cos35sin60 using the sum and difference, double angle or half angle formulas?

1 Answer
May 16, 2017

Answer: sin(-25^@)=sin(335)

Explanation:

Consider the difference identity for sine:
sin(a+-b)=sinacosb+-cosasinb

Using this formula, we can see that a=35 and b=60
Therefore:
sin35cos60-cos35sin60
=sin(35-60)
=sin(-25)
=sin(335) which is not a special unit circle trig value so we cannot simplify any further