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tamaranim1 [39]
2 years ago
9

Solve the equations below exactly. Give your answers in radians, and find all

Mathematics
1 answer:
kotegsom [21]2 years ago
8 0

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

sin(t)=-\frac{\sqrt{3}}{2}

t=\frac{4\pi}{3},\frac{5\pi}{3}

cos(t)=\frac{1}{2}

t=\frac{\pi}{3},\frac{5\pi}{3}

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by (cos(\theta),sin(\theta)) where \theta is measured in radians.

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Answer:

The best estimate is greater than 1/2 but less than 3/4

Step-by-step explanation:

If you multiply 1/4 by 3/3 (which is also 1), you can change the denominator without changing the value.  So 1/4 is equal to 3/12.

Since keith has 11/12 hours to play, and he has already played 3/12 hours, subtract 3/12 from 11/12 to get 8/12 hours. This is how much time he has left to play.  

If you simplify 8/12 hours, you get 2/3 hours.

So the best estimate would be: greater than 1/2 but less than 3/4.

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2 years ago
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