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Digiron [165]
2 years ago
7

Solve for x round to the nearest tenth if necessary

Mathematics
1 answer:
mash [69]2 years ago
7 0

tan 39 = x /30

0.809 = x/30

x = 24.29

x = 24.3

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Find all the solutions of sin x + cos x = 1 in the interval [0, 2pie).
Mashcka [7]

Answer:

X = 0,  π/2 in the interval  [0, 2pi).

Step-by-step explanation:

Use the auxiliary angle method:

R sin(x + a)  = Rsin x cos a + Rcos x sin a = 1

                        sin x         +    cos x             = 1

Comparing coefficients:

R cos a = 1 and R sin a =  1, so

tan a = R sin a / R cos a  = 1

So a = π/4 radians.

Also  R^2(sin^2 a + cos^2 a) =  1^2 + 1^2 = 2

Therefore R = √2.

So √2 sin (x +π/4 = 1

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x  + π/4 = π/4

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Also

x = 0 +  π/2 = π/2.

8 0
3 years ago
PLEASE HELP!!!! Write a solution for the equation 6x-8=4x
antoniya [11.8K]

Answer:

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Hope this helped some.

6 0
2 years ago
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Is 3x = x + 8 true?​
ANEK [815]

Answer:

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5 0
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Step-by-step explanation:

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