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3 years ago

Find the maximum and minimum values of the function. Y=-cos8x

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

Answer:

Step-by-step explanation:

Given a sinusoidal function (sine function or cos function) in the form

y = A Cos (Bx), we can say that A is the amplitude.

Amplitude defines the function's maximum and minimum.

The maximum of this form of function is A and the minimum is -A.

The function given is y = -Cos(8x), so A is -1

Thus, maximum value is 1 and minimum value is -1.

Correct answer is A

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Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8

Rudiy27

Correct option is D) -0.6.

Step-by-step explanation:

We have $sin\alpha = -0.8$ . Also, we know that $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$ . Let's find out value of $cos\alpha$ using above formula:

$cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (-0.8 } )^{2}$

⇒ $cos\alpha = \sqrt{1- (0.64 } )^{}$

⇒ $cos\alpha = \sqrt{0.36}$

⇒ $cos\alpha = 0.6$

But we know that cos $\alpha$ is negative in third quadrant , Therefore $cos\alpha = -0.6$ .

Hence, correct option is D) -0.6.

3 0

3 years ago

Which equation represents a circle with the center at (-3, -5) and a radius of 6 units?

bagirrra123 [75]

That would be

( x + 3)^2 + (y + 5)^2 = 6^2

(x + 3)^2 + (y + 5)^2 = 36 answer

8 0

3 years ago

Read 2 more answers

Product is -8 and sum is 2. What are the two numbers

anygoal [31]

Step-by-step explanation:

Let the two numbers be x and y.

$\therefore \: xy = - 8...(1) \\ and \\ x + y = 2 \\ \\ \therefore \:x = 2 - y...(2)$

From equations (1) & (2)

$(2-y)y=-8\\\therefore \: 2y - y^2 = - 8\\\\\therefore \:y^2 - 2y-8=0\\\\\therefore \:y^2 - 4y+2y-8=0\\\\\therefore \:y(y - 4)+2(y-4)=0\\\\\therefore \:(y+2)(y - 4)=0\\\\\therefore \:(y+2)=0\:\: or\:\:(y - 4)=0\\\\\therefore \:y=-2\:\: or\:\:y =4\\\\ When \:\: y = - 2\implies x = 4\\\\When \:\: y = 4\implies x = - 2\\$

Thus, the two numbers are (4, - 2) or (-2, 4).

6 0

4 years ago

4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and

Nataliya [291]

9514 1404 393

Explanation:

Let t and f represent the numbers of two-point and four-point questions, respectively.

B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.

2t + 4f = 100 . . . . . the test is worth 100 points

t + f = 40 . . . . . . . . there are 40 questions on the test

_____

Additional comment

The test will have 30 two-point questions and 10 four-point questions.

7 0

2 years ago

Two distance are in the ratio 9 to 4 if the first distance is 270km, what is the second distance?

IceJOKER [234]

Let's practice a little algebra and set the second distance to x.

9/4=270/x

solve

9x=270*4

x=30*4

x=120

The second distance is 120.

Done! any question about this just ask me in the comment.

6 0

3 years ago