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3 years ago

Anyoneknowtheanswertothis?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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I don’t know how to solve this

Lady_Fox [76]

Answer:

$\theta =2\pi k,\ \ k\in Z\ \\\text{or}\ \\\theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z$

Step-by-step explanation:

Given:

$\cos \theta-\sqrt{3}\sin \theta=1$

Divide this equation by 2:

$\dfrac{1}{2}\cos \theta-\dfrac{\sqrt{3}}{2}\sin \theta=\dfrac{1}{2}$

Note that

$\cos \dfrac{\pi }{3}=\dfrac{1}{2}\\ \\\sin \dfrac{\pi }{3}=\dfrac{\sqrt{3}}{2}$

So, the previous equation is

$\cos \dfrac{\pi}{3}\cdot \cos \theta-\sin \dfrac{\pi}{3}\cdot \sin \theta=\dfrac{1}{2}$

Remind that

$\cos x\cos y-\sin x\sin y=\cos (x+y),$

then

$\cos \left(\dfrac{\pi}{3}+\theta\right)=\dfrac{1}{2}$

The solution of this equation is

$\dfrac{\pi}{3}+\theta=\pm \arccos \dfrac{1}{2}+2\pi k,\ \ k\in Z\\ \\\dfrac{\pi}{3}+\theta=\pm \dfrac{\pi}{3}+2\pi k,\ \ k\in Z\\ \\\theta =2\pi k,\ \ k\in Z\ \text{or}\ \theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z$

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3 years ago

Can you please help me with this math equation?

Stella [2.4K]

Answer:

y=-2/3x-1

Step-by-step explanation:

( -3 , -1 ) -1 is the y intercept

6 0

3 years ago

Read 2 more answers

The speed of light is aproximently 300,000 kilometers per second. How many miles does light travel in an hour?

MAXImum [283]

671,079,600 mph

hope you'll give me the brainliest!

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3 years ago

Read 2 more answers

Help please 50% of my grade!!

lina2011 [118]

#2. (-10, 0) (-10, -8) (0, -8)

#3. (-10, 0) (-10, 8) (-7, 8)

#4. (-10, 0) (-7, 0) (-7, 8)

#8. (0, 8) (0, 0) (8, 0) (10, 4)

#9. (-7, 0) (-7, 8) (0, 8) (0, 0)

#10. (-10, 0) (0, 0) (0, -8)

Not sure about the others. Hope this helps, though.

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4 years ago

Which expression is equivalent to 2x−4+4(3x−2)2x−4+4(3x−2) ?

Daniel [21]

$2x-4+4(3x-2)=2x-4+12x-8=14x-12=2(7x-6)\\\\\taxt{Answer:}\ C)\ 2(7x-6)$

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3 years ago