Question

Which angle is an x-intercept for the function y = cos(1)
A.0
B.2
C. £
D. 2£

Answer 1

Answer: C.
`\pi`

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Step-by-step explanation:

The x intercept always occurs when y = 0.

Use the unit circle to determine that
`\cos(\theta) = 0` when
`\theta = (\pi)/(2) \text{ and } \theta = (3\pi)/(2)`

So if
`x = \pi`, then we have

`y = \cos\left((1)/(2)x\right)\\\\y = \cos\left((x)/(2)\right)\\\\y = \cos\left((\pi)/(2)\right)\\\\y = 0\\\\`

which shows us that
`(\pi, 0)` is the location of one of the infinitely many x intercepts for this function.