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RideAnS [48]
2 years ago
14

Please help with this question

Mathematics
1 answer:
natita [175]2 years ago
8 0

Answer:

  12\sin{(2\theta)}\cos{(\theta)}

Step-by-step explanation:

The appropriate trig identity is ...

  \sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}

Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...

  6\sin{3\theta}+6\sin{\theta}=12\sin{\left(\dfrac{3\theta+\theta}{2}\right)}\cos{\left(\dfrac{3\theta-\theta}{2}\right)}\\\\=12\sin{(2\theta)}\cos{(\theta)}

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The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
harina [27]

Let

S------> The sum of the measures of the interior angles of a polygon

n-------> number of sides of a polygon

we know that

The formula to find the sum of the measures of the interior angles of a polygon is equal to

S=(n-2)*180°

in this problem

S=2880°

Solve for n

S=(n-2)*180\\ \\ n=\frac{S}{180}+2\\ \\ n=\frac{2880}{180}+2\\ \\ n=16+2\\ \\ n=18\ sides

therefore

the answer is

18\ sides


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Vedmedyk [2.9K]

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3 years ago
I need help which letter is it?
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Answer:

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3 years ago
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Step-by-step explanation:

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