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3 years ago

Find all solutions of given equation 2cosx-1=0

Mathematics

2 answers:

mihalych1998 [28]3 years ago

7 0

2cosx=1
cosx=1/2
x=cos∧-1(1/2)
x=60degrees or 360-60=300degrees
depending on your limits if in radians pi/3 and 5pi/3

skad [1K]3 years ago

5 0

There are an infinite number of solutions, so I don't plan to list them all.
I'll list two of them, and then describe how to get all of the rest.

You said that <u>2cos(x) - 1 = 0</u>

Add 1 to each side: 2cos(x) = 1

Divide each side by 2: cos(x) = 1/2

The angles whose cosine is 1/2 are 60 degrees, 300 degrees,
and any multiple of 360 degrees added to either of those.

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taurus [48]

Answer:

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and

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3 years ago

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4 years ago

Read 2 more answers

At the banquet 450 people had chicken and 150 had pasta. What percent of people has pasta?

Liono4ka [1.6K]

25 percent of people had pasta.

First add 450 and 150 (which equals 600)

Next divide 600 by 150 (which equals 4)

Which means 150 is a fourth of six hundred, and a fourth is 25 percent.

Which leads to my answer of 25 percent

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3 years ago

the length.of a hypotenuse of a right triangle is 32 inches and the length of one of the lrgs is 18 inches. what is the length,

Elza [17]

Let: hypotenuse = a , known leg = b , unknown leg = c
According to Pythagoras' Theorem: $a^{2} = b^{2} + c^{2}$
   $c^{2} = a^{2} - b^{2}$
   $c^{2} = (32 inches)^{2} - (18 inches)^{2}$
c = $\sqrt{(32 inches)^{2} - (18 inches)^{2}}$
c = 3.74 inches

∴ the length of the hypotenuse to 1d.p. ≈ 3.74 inches

6 0

3 years ago

-2x+5y=14 -2x-3y=2 solve by elimination

FrozenT [24]

Add the equations to get 2y = 16. y = 8.

Plug y in to get x = -13

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4 years ago