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Alexeev081 [22]
3 years ago
11

How do i solve x/3+1=3

Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
\frac{x}{3} +1=3 \\  \frac{x}{3} =3-1 \\ \frac{x}{3}=2 \\ x=2 \cdot 3 \\ x=6
OlgaM077 [116]3 years ago
3 0
\frac{x}{3} + 1 = 3

First, multiply both sides by 3. / Your problem should look like: x + 3 = 9.
Second, subtract 3 from both sides. / Your problem should look like: x = 9 - 3.
Third, simplify 9 - 3 to 6. / Your problem should look like: x = 6, which is your answer.

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Answer: There are two solutions and they are

theta = 135

theta = 225

=============================================================

Explanation:

Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.

It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:

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You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.

--------

I recommend using your calculator to note that

-sqrt(2)/2 = -0.70710678

cos(135) = -0.70710678

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The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.

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