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LiRa [457]
4 years ago
6

For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the functio

n...:- f(0) = 2, f(pi/4) = 0, f(pi/2) = -2, f(3pi/4) = 0, f(pi) = 2
what is the rule for the cosine function???
Mathematics
2 answers:
IrinaVladis [17]4 years ago
7 0
y=a \cos{b\theta}

f(0)=2
\\2=a \cos{(b \times 0)}
\\2=a \cos{0}
\\2=a \times 1
\\a=2
\\
\\f( \frac{\pi}{4} )=0
\\0=a \cos{(b \times \frac{\pi}{4})}
\\\cos{ \frac{b\pi}{4}}=0
\\\frac{b\pi}{4}=\frac{\pi}{2} \\b= 2
\\
\\y=2 \cos{ 2\theta}



Elodia [21]4 years ago
4 0

Answer:

f(x) = 2 cos 2θ

Step-by-step explanation:

Equation is f(x) = a cos bθ

We have f(0) = 2

      a cos (b x 0) = 2

       a = 2

So f(x) = 2 cos bθ

We also have f(\frac{\pi}{4} )=0

      2cos(b\times \frac{\pi }{4})=0\\ \\b\times \frac{\pi }{4}=\frac{\pi }{2}\\\\b=2

So the equation is f(x) = 2 cos 2θ

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EastWind [94]

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A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.

Step-by-step explanation:

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3 years ago
What is the value of this expression 6 • [(32 - 8) divided by 4 + 2]
zalisa [80]

Answer:

48 is your answer.

Step-by-step explanation:

What you want to do is follow PEMDAS.

Parenthesis are first. You will subtract 32 and 8 to get 24.

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6 x[6+2] you will then add 6+2 to get 8.

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7 0
3 years ago
Several intervals can be combined into one region using the "set union" operation, ∪∪, which is represented as "u" in webwork. f
alekssr [168]

Write the set of points from  -6 to 0 but excluding  -4  and 0 as a union of intervals

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So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

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7 0
3 years ago
Find the range of f(x) = 5x - 4 for the domain = {2, 4, 6}]
Sphinxa [80]

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

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f(4) = 20 - 4

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8 0
3 years ago
18/40 =<br>simplify to the lowest term<br>​
Marina86 [1]

18/40 = 9/20 =

Simplified

3 0
3 years ago
Read 2 more answers
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