blake0707
Answered

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Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Sagot :

MrRoyal

Answer:

x intercept is 180

Step-by-step explanation:

Given

[tex]y = cos(\frac{1}{2}x)[/tex]

Required

Determine the x intercept

To do this, we simply set y to 0.

i.e. y = 0

Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]

[tex]0 = cos(\frac{1}{2}x)[/tex]

Take [tex]cos^{-1}[/tex] of both sides

[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]

[tex]90 = \frac{1}{2}x[/tex]

Multiply both sides by 2

[tex]2 * 90 = \frac{1}{2}x * 2[/tex]

[tex]2 * 90 = x[/tex]

[tex]180 = x[/tex]

[tex]x = 180[/tex]

Hence, the x intercept is 180

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