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Zanzabum
3 years ago
13

Tammy is training for a marathon. She ran the 3 miles from home to a lake, twice around the lake and then home again. She ran 11

miles. How far is it around the lake?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Answer:

Step-by-step explanation:

3 x 2 = 6

11 - 6 = 5

5 ÷ 2 = 2.5

Final answer: 2.5 miles

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Option A

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<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

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

Therefore,

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We know that,

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\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

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\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)

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Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

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3 years ago
During the 2005 football​ season, Team Tackle beat Team Sack by 6 points. If their combined scores totaled 60​, find the individ
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Step-by-step explanation:

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I hope this helps

have a great day

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