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Yakvenalex [24]
2 years ago
13

True or False? The graph of sine can be used to construct the graph of the secant function.

Mathematics
1 answer:
amid [387]2 years ago
5 0

True

Note that:

secant \theta = \frac{1}{cos\theta}

The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.

That is,  sin x  =  cos (90  -  x)

Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function

Mathematically:

since  sec x  =  1 / cos x

and, cos x = sin (90 - x)

therefore, sec x = 1 / sin (90 - x)

The graphs of the sine and secant functions are attached to this solution

Learn more here: brainly.com/question/9554579

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Which expression is equivalent to 64y18 – 1000z6?
natta225 [31]

Answer:

(4y^{6})^{3}-(10z^{2})^{3}

Step-by-step explanation:

we have

64y^{18}-1000z^{6}

we know that

64=4^{3}

y^{18}=(y^{6})^{3}

1000=10^{3}

z^{6}=(z^{2})^{3}

Substitute the values in the expression

(4^{3})((y^{6})^{3})-(10^{3})((z^{2})^{3})

(4y^{6})^{3}-(10z^{2})^{3}

3 0
3 years ago
Read 2 more answers
Write as an exponent with the base of b:<br> <img src="https://tex.z-dn.net/?f=b%5E%7Bn%7D%20b%5E%7B5%7D" id="TexFormula1" title
goldfiish [28.3K]
B^n+5
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4 0
2 years ago
Which is the correct input-output table for the function f(x) = 3x2 - 1+4?
krok68 [10]

Answer:

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4 0
2 years ago
Charles has $87 in his checking account. He spent $14 and $17, then deposited $33. If he wants to buy a television that cost $18
tester [92]

Answer:

He need $99 more

Step-by-step explanation:

87-14-17=56+33=89

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5 0
3 years ago
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Solve this system of linear equations. Separate the x- and y-values with a comma. -7x + 2y = -8 -16x + 9y = 26
Goryan [66]
(4,10). 
1. There are three ways to solve this: elimination, substitution, graphing.
2. I chose elimination, so I had to get one negative variable and one positive variable of the same value (for example, 18 and -18)

-7x+2y=-8
-16x+9y=26
I chose to get 2y and 9y to equal -18y and 18y. 
So, multiply the first equation by -9. Multiply the second by 2.
63x-18y=72
-32x+18y=52
the 18s cross each other out. So you're left with
63x=72
-32x=52. Add them. 
31x=124, divide both sides by 31, and you'll get 4. 
x=4
Plug your answer for x into one of the equations. Let's use the first one.
-7(4)+2y=-8
-28+2y=-8. add 28 to both sides.
2y=20, divide both sides by 2.
y=10. 
This makes your answer (4,10)
8 0
3 years ago
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