How do you prove #sin 5pi/12 = sin pi/6 cos pi/4 + cos pi/6 sin pi/4#?
1 answer:
You rewrite 5π/12 as 2π/12 + 3π/12 since 2 + 3 = 5.
Then you simplify the fractions into π/6 + π/4.
Then you use the sine addition identity.
sin(5π/12) = sin(π/6 + π/4) = sin <span>π/6 cos </span><span>π/4 + cos </span><span>π/6 sin </span><span>π/4</span>
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