Question

Find \sin t, \cos t, and \tan t for $t = -\frac{19\pi}{6}$. \sin \left( -\frac{19\pi}{6} \right) = \boxed{} (Simplify your answer. Type an exact answer, using radicals as needed. Use int

          Find \sin t, \cos t, and \tan t for $t = -\frac{19\pi}{6}$.
\sin \left( -\frac{19\pi}{6} \right) = \boxed{}
(Simplify your answer. Type an exact answer, using radicals as needed. Use int
        
Find sint, cost, and tant for t = -(19π)/(6).
sin( -(19π)/(6) ) = 
(Simplify your answer. Type an exact answer, using radicals as needed. Use int

Added by Anthony R.

Close

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th 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
Find sin(t), cos(t), and tan(t) for t = -(19π)/(6). sin(-(19π)/(6)) = -1/2 cos(-(19π)/(6)) = -√3/2 tan(-(19π)/(6)) = 1/√3
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Ivan Kochetkov
Danielle Fairburn verified

Lauren Shelton and 97 other subject Calculus 1 / AB 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-six-trigonometric-functions-of-6-square-root-3-negative-6

find the six trigonometric functions of (6 square root 3, negative 6)

Lauren S.

use-a-calculator-to-approximate-the-value-of-the-expression-if-possible-round-your-answer-to-the-n-9

Use a calculator to approximate the value of the expression, if possible. Round your answer to the nearest hundredth. arctan (-6)

Algebra and Trigonometry Real Mathematics, Real People

Trigonometric Functions

Inverse Trigonometric Functions

use-a-calculator-to-approximate-the-value-of-the-expression-round-your-answer-to-the-nearest-hundr-9

Use a calculator to approximate the value of the expression. Round your answer to the nearest hundredth. $$\arctan (-6)$$

Algebra and Trigonometry Real Mathematics, Real People

Trigonometric Functions

Inverse Trigonometric Functions


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,461 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,973 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,139 solutions

*

Transcript

-
00:01 Okay, so given the point 6 square root of 3 and negative 6, what i could do first is figure out that this, draw this point.
00:09 So the x value is 6 square root of 3 and the y value is negative 6.
00:13 I can plot that point and create a right triangle, the cubed angles attached to the x -axis.
00:20 Now i already know some of the side lanes, right? the y -axis is negative 6, the x is 6 square root of 3.
00:27 Before i find my trig ratios, i need all three sides of my right triangle.
00:31 How do i find my third? well, i could do this using the pythagorean theorem.
00:37 If i know two sides in a right triangle, i could find the third.
00:41 The leg squared plus the other leg squared equals the hypotenuse squared.
00:46 Legs are attached to the 90 degree angle.
00:49 So 6 squared, i'm going to distribute this, is 36 square root squared, square root of 3 squared, those cancel, is times 3.
00:57 This will be plus negative 6 times negative 6 is positive 36 and this will be 108 plus 36 which is 144 when i combine those opposite a square to square root and my hypotenuse will be positive 12 hypotenuse is always across from the 90 degree angle now how do i find my trig ratios ratios.
01:23 Well, i can use an acronym here...
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
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