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

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

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Answer 1 · 2017-05-16T13:59:24

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

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

1 Answer

Explanation:

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