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3 years ago

What formula gives the x coordinate of the maximum value for y=cos(x)

Mathematics

2 answers:

lina2011 [118]3 years ago

8 0

Hints:
cos(x) has a maximum at x=0.
It is also a periodic function with a period of 2pi.

gizmo_the_mogwai [7]3 years ago

5 0

The given Trigonometric function is

y = Cos (x)

As the maximum value of Cosine (Theta) is 1. i.e

Maximum value of Cos (x) = 1

Cos (x) = cos (0 or 2 π)

If Cos (x) = Cos A

Then General formula for evaluating x is ,

x = 2 n π $\pm$ A, for n =......-3,-2,-1,0,1,2,3,4,5.....

Here, A= 0, so the value of x is =2 n π $\pm$ 0

x= 2 n π

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When Emily arrives from school she spent a minute eating a snack then she spent 15 playing with her dog and 32 doing her chores

Neporo4naja [7]

The question is incomplete:

When Emily arrived home from school she spent a minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32 doing her chores . Finally, Emily spent 45 minutes finishing her homework. How long had Emily been home when she finished?

Answer:

Emily had been home for 1 hour and 33 minutes.

Step-by-step explanation:

In order to find the answer, first you have to add up the time she spent in each activity to find the amount of minutes she had been at home when she finished:

1+15+32+45=93

Now, you can express the 93 minutes in hours considering that one hour has 60 minutes. According to this, Emily had been home for 1 hour and 33 minutes (93-60=33).

8 0

3 years ago

WORTH 20 POINTS HELP

vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}$

$RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}$

$ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}$

$TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}$

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$QR = \frac{9 + 1}{2 + 3} = \frac{10}3$

$RS = \frac{5-9}{-4 - 2} = \frac{2}3$

$ST = \frac{5+5}{-4 + 7} = \frac{10}3$

$TQ = \frac{-5+1}{-7 + 1} = \frac{2}3$

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

6 0

2 years ago

MAX POINTS PLEASE HELP BRAINLIEST FOR CORRECT ANSWER W/ EXPLANATION

maksim [4K]

Answer:

(f o g)(-2)= 11

Step-by-step explanation:

6 0

3 years ago

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Given that €1 =£0.72 a) how much is €410 b) what is the £ to € exchange rate ?

nekit [7.7K]

Answer:

As per the given statement: €1 = £0.72Find how much is €410 in £.then;€410 = = £295.2Hence, £295.2 much is €410.to find, the exchange rate of £ to €:€1 = £0.72Divide both sides by 0.72 we get;£1 = €1.38

7 0

3 years ago

What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4

tresset_1 [31]

Answer:

$y=\frac{-1}{4} x+3\\$

Step-by-step explanation:

$(y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\$

5 0

3 years ago

Read 2 more answers