Question #58928

Just the answer please.
1: http://imgur.com/COPn2Tn
2: http://imgur.com/WJ1HeXa
3: http://imgur.com/GYQmMd3

Expert's answer

Answer on Question #58928 – Math – Trigonometry

Question

The value π4\frac{\pi}{4} is a solution for the equation 32cosθ+2=13\sqrt{2}\cos\theta + 2 = -1.

False

True

Solution

If θ=π4\theta = \frac{\pi}{4}, then 32cosθ+2=32cos(π4)+2=3222+2=3=2=513\sqrt{2}\cos\theta + 2 = 3\sqrt{2}\cos\left(\frac{\pi}{4}\right) + 2 = 3\sqrt{2} \cdot \frac{\sqrt{2}}{2} + 2 = 3 = 2 = 5 \neq -1, hence θ=π4\theta = \frac{\pi}{4} is not a solution for the equation 32cosθ+2=13\sqrt{2}\cos\theta + 2 = -1.

Thus, the statement in question is false.

**Answer:** False.

Question

There is no solution to the equation cscx=0\csc x = 0.

True

False

Solution

cscx=0,\csc x = 0,

1cosx=0,\frac{1}{\cos x} = 0,


Hence there is no solution to the equation cscx=0\csc x = 0.

**Answer:** True.

Question

Which of the following is an example of simple harmonic motion?

A ball bouncing on a sidewalk

The height of the water in Monterey Bay

Calculating the angle of elevation for a building

A police car shining a spotlight into buildings as it drives by

Answer: The height of the water in Monterey Bay.

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