How do you find the exact value of $sin 35 cos 60 - cos 35 sin 60$ $sin35cos60-cos35sin60$ using the sum and difference, double angle or half angle formulas?

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How do you find the exact value of $sin 35 cos 60 - cos 35 sin 60$ $sin35cos60-cos35sin60$ using the sum and difference, double angle or half angle formulas?

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Answer 1 · 2017-05-16T13:59:24

Answer: $sin (- 25^{\circ}) = sin (335)$ $sin(-25^@)=sin(335)$

Explanation:

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

Using this formula, we can see that $a = 35$ $a=35$ and $b = 60$ $b=60$
Therefore:
$sin 35 cos 60 - cos 35 sin 60$ $sin35cos60-cos35sin60$
$= sin (35 - 60)$ $=sin(35-60)$
$= sin (- 25)$ $=sin(-25)$
$= sin (335)$ $=sin(335)$ 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 $sin 35 cos 60 - cos 35 sin 60$ $sin35cos60-cos35sin60$ using the sum and difference, double angle or half angle formulas?

1 Answer

Explanation:

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How do you find the exact value of sin35cos60-cos35sin60sin35cos60−cos35sin60sin35cos60-cos35sin60 using the sum and difference, double angle or half angle formulas?

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Explanation:

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How do you find the exact value of $sin 35 cos 60 - cos 35 sin 60$ $sin35cos60-cos35sin60$ using the sum and difference, double angle or half angle formulas?