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N76 [4]
3 years ago
12

What is i^86 imaginary number

Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

-1

Step-by-step explanation:

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Prove that sin20sin40sin60sin80=3/16
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We'll use the following properties of sine and cosine to prove this:

sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))

cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))

cos(180+a) = cos(180-a)

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

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