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Lana71 [14]
3 years ago
11

Solve the equation: Sin2x - Sinx = 0

Mathematics
1 answer:
Viktor [21]3 years ago
5 0
We know that sin2x=2sinxcosx 
(search the net for proof if you wish) 

So the original equation becomes

2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get: 

sinx(2cosx-1)=0 
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2

sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer

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Answer:

46

Step-by-step explanation:

We are given that a  class's test scores are normally distributed with an average score of 60.

We know that the curve of a normal distribution is symmetric about its mean.

60-14=46

60+14=74

Hence, the point 46 lies to the left of the mean and 74 lies to the right of the mean, and the two points have the same function value.

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Answer:

The length of side b is 179 ft

Step-by-step explanation:

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In ΔABC, by angle sum property of triangle

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33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}

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The length of side b is 179 ft

Option C is correct.

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Step-by-step explanation:

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Answer:

y − 7 = − 6 /11 ⋅ ( x + 7 )

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Find the point-slope form.

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