1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavlova-9 [17]
2 years ago
6

Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).

Mathematics
1 answer:
bekas [8.4K]2 years ago
5 0
  • Three values of \theta when \cos(\theta) = \frac{\sqrt 3}{2} are \theta = \frac{\pi}{6}    \theta = \frac{11\pi}{6} and \theta = \frac{13\pi}{6}
  • The value of \sec(\theta) is -1.414

<h3>Three possible angles θ on the domain [0,∞)</h3>

The cosine ratio is given as:

\cos(\theta) = \frac{\sqrt 3}{2}

See attachment for the graph of \cos(\theta) = \frac{\sqrt 3}{2} under the domain of [0,∞)

From the graph, we can see that some values of \theta when \cos(\theta) = \frac{\sqrt 3}{2} are:

\theta = \frac{\pi}{6}    \theta = \frac{11\pi}{6} and \theta = \frac{13\pi}{6}

<h3>The value of sec θ</h3>

We have:

θ = 495°

Convert to radians

\theta = 495 * \frac{\pi}{180}

Evaluate

\theta =  \frac{11\pi}{4}

<h3 />

The value of sec θ is then calculated as:

\sec(\theta) =  \sec(\frac{11\pi}{4})

Using a calculator, we have:

\sec(\theta) = -1.414

Hence, the value of \sec(\theta) is -1.414

Read more about trigonometry ratios at:

brainly.com/question/27223704

#SPJ1

You might be interested in
The diameter of a circle has endpoints whosever coordinates are R(-2,2) and S(4,2). find the center of the circle
lisov135 [29]
Hello!

As you can see this line is horizontal. It is 6 units long. Therefore the center is three units in. Therefore the center of this circle is at (1,2).

I hope this helps!
3 0
3 years ago
Renee adds 5 to a number, then multiplies the sum by-2. The result is 8. Write and solve an equation to find the number, x. What
miskamm [114]
5+(-9)= -4 • -2 =8
i hope i’m right.
5 0
3 years ago
tiffany and justin have baseball card collections. justin has 36 more cards than tiffany if they have a total of 92 cards, how m
saw5 [17]

Answer:Tiffany has 28 Justin has 64

Step-by-step explanation:

64+28=92

7 0
3 years ago
What would be the x and y coordinates of y = -3x + 1?
adoni [48]

Answer:

(-2,7)

(-1,4)

(0,1)

(1,-2)

(2,-5)

6 0
3 years ago
Read 2 more answers
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are al
notsponge [240]

Answer:

w = V/lh

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.

volume of a rectangular prism,V = lwh

Where,

l = length of the base of the prism

w = width of the base of the prism

h = height of the prism

Rewrite the formula to find w

V = lwh

w = V/lh

That is,

width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism

5 0
2 years ago
Other questions:
  • If y varies inversely as x, and y = 10 as x = 7, find y for the x-value of 10.
    6·1 answer
  • The price of jeans was reduced $7 per week for 4 weeks. By how much did the price of the jeans change
    5·1 answer
  • What all is equivalent to 7:5
    13·1 answer
  • What is the inverse function of dx) = 2x - 4?
    8·2 answers
  • Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
    11·1 answer
  • Solve for z.
    5·2 answers
  • Please guys help me with this question.​
    15·1 answer
  • Whats 395585404044844 times 2929292929282029 plus 92929292101020129 divided by 3383838383883
    12·1 answer
  • (2^7 .〖 5〗^8)/〖10〗^7
    8·1 answer
  • Find the slope of the line.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!