Question

Problem 3. (1 point) Find an angle $\theta$ in the interval $\left[ -\frac{\pi}{2}, \frac{\pi}{2} \right]$ such that $\cot(\theta) = -\sqrt{3}$. Your answer must be in radians. Use "pi" for $\pi$ $\theta = -\frac{\text{pi}}{3}$

          Problem 3. (1 point)
Find an angle $\theta$ in the interval $\left[ -\frac{\pi}{2}, \frac{\pi}{2} \right]$ such that $\cot(\theta) = -\sqrt{3}$. Your answer must be in radians. Use "pi" for $\pi$
$\theta = -\frac{\text{pi}}{3}$
        
Problem 3. (1 point)
Find an angle θ in the interval [ -(π)/(2), (π)/(2)] such that cot(θ) = -√(3). Your answer must be in radians. Use "pi" for π
θ = -(pi)/(3)

Added by Austin S.

Close

Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Problem 3. (1 point) Find an angle heta in the interval -(pi )/(2),(pi )/(2) such that cot( heta )=-sqrt(3). Your answer must be in radians. Use "pi" for heta = Problem 3.(1point) TT TT Find an angle in the interva such that cot-3.Your answer must be in radians.Use"pi"for 2 2 0= -pi/3
Close icon
Play audio
Feedback
Powered by NumerAI
Jennifer Stoner Danielle Fairburn
Kathleen Carty verified

Zhumagali Shomanov and 53 other subject Precalculus educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
find-the-reference-angle-in-radians-for-the-equation-sin-066-you-must-include-at-least-4-places-of-decimal-accuracy-your-answer-answer-question-15-2-points-find-all-solutions-in-0-2-to-the-e-11349

Find the reference angle (in radians) for the equation sin(θ) = -0.66. You MUST include at least 4 places of decimal accuracy. Your Answer: Answer Question 15 (2 points) Find all solutions in [0, 2π) to the equation sin(θ) = -0.66. Select 2 correct answer(s): -0.6581 0.7208 1.2596 2.4208 3.8624 4.1599 5.5624 6.2832

Zhumagali S.

2-instructions-question-3-find-an-2-value-in-the-interval-1-0-satisfying-sintt-costt-0-write-your-answer-a-decimal-prevlous-n-3-88292

Find a value in the interval [-1, 0] satisfying sin(πx) - cos(πx) = 0 Write your answer as a decimal:

Adi S.

i-can-not-figure-out-what-is-wrong-with-the-first-part

I can not figure out what is wrong with the first part.

William S.


*

Recommended Textbooks

-
Precalculus with Limits

Precalculus with Limits

Ron Larson 2nd Edition
achievement 1,173 solutions
Precalculus

Precalculus

Robert Blitzer 5th Edition
achievement 1,797 solutions
Precalculus

Precalculus

Jay Abramson 1st Edition
achievement 1,860 solutions

*

Transcript

-
00:01 We are asked to find the reference angle of the given equation.
00:05 We are asked to...
00:06 And to do that, we'll first draw the unit circle.
00:15 And recall that the values of sine are on the y -axis.
00:20 And this corresponds to y equals negative 1.
00:23 And negative 0 .66 will be probably somewhere here, in that region.
00:32 So and that gives us two solutions for the equation.
00:39 But first we need to find the reference angle.
00:42 And it's basically the measure over the angle to the x -axis.
00:50 So it's going to be this angle here.
00:52 This is the reference angle.
00:55 And to get that angle, we'll first apply arc cos to both sides of the equation.
01:00 We'll get theta equals arc...
01:02 Sorry, arc sine.
01:04 Arc sine of negative 0 .66, which is approximately...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever