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aalyn [17]
3 years ago
9

Which angle is an x-intercept for the function y = cos(1/2x)

Mathematics
2 answers:
KonstantinChe [14]3 years ago
3 0
For the function
y = cos(1/2 x)
The x-intercept can be calculated by equating the function to zero and solving for x. So,
y = cos(1/2 x) = 0
1/2 x = arc cos 0
1/2 x = 90° +180°n
x =2 (90° +180°n)
x = 180° + 360°n
or converting to radians
x = (180° + 360° n)(π/180°)
x = π + 2π n
where n is any whole number

if n = 0
x = π

Therefore, the x-intercept is π or π+2π n
Alisiya [41]3 years ago
3 0

PLATO ANSWER: Pi (π)

Hope I helped, Have a great day!!!

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M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

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The sample mean is M=6.34.

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The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

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MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

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The 95% confidence interval for the mean is (5.73, 6.95).

4 0
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