1 answer

How would you find the exact trigonometric ratio for an angle whose radian measure is #(4pi)/3#?

Question:

How would you find the exact trigonometric ratio for an angle whose radian measure is #(4pi)/3#?

Answers

An angle of #(4pi)/3# is in Quadrant 3 with a reference angle of #pi/3#
#sin((4pi)/3) = -sqrt(3)/2#
#cos((4pi)/3) = -1/2#
#tan((4pi)/3) = sqrt(3)#

Explanation:

See diagram below:
enter image source here

Note that #pi/3# is one of the standard trigonometric angles.

.

Similar Solved Questions

1 answer
Stokes' law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles...
Stokes' law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes' law to calculate the viscosity of the liq...
1 answer
1) A 7-11 owner looks at her end-of-month sales. In June, the price of a Slurpee...
1) A 7-11 owner looks at her end-of-month sales. In June, the price of a Slurpee was $2.50 and the station sold 300 units. In July, the price spiked to $3.00 per Slurpee and the station sold 280 units. i) What is the price elasticity? ii) Is the product elastic or inelastic? iii) What characteristic...
1 answer
Q3(33.33%) Calculate the absolute maximum moment Loading due to moving for 40K shown. bok 201 B...
Q3(33.33%) Calculate the absolute maximum moment Loading due to moving for 40K shown. bok 201 B 36 PE +...
3 answers
A line in the spectrum of atomic mercury has a wavelength of 258 nm. When mercury...
A line in the spectrum of atomic mercury has a wavelength of 258 nm. When mercury emits a photon of light at this wavelength, the frequency of this light is a. 8.61 &?????; 10...
1 answer
Egyptian history question What are the two (2) types of tunics that women wear in Egypt?
Egyptian history question What are the two (2) types of tunics that women wear in Egypt?...
1 answer
7-19 DEO Finding Numbers In Exercises 5-10, find E u two positive numbers that satisfy the...
7-19 DEO Finding Numbers In Exercises 5-10, find E u two positive numbers that satisfy the given DEP requirements 5. The sum is S and the product is a maximum. 6. The product is 185 and the sum is a minimum. 7. The product is 147 and the sum of the first number plus three times the second number is ...
1 answer
The answer is shown, but can someone explain how to interpret the images too? There are...
The answer is shown, but can someone explain how to interpret the images too? There are these random plus signs in between the "absent" and "present" for Z and Y....
2 answers
Find two equivalent fractions for each given fraction
find two equivalent fractions for each given fraction.(1) 3 - 6(2) 3 - 9...
1 answer
Number 6, 7, 8 b) My c) When d) Will get 5) Her mother asked her...
number 6, 7, 8 b) My c) When d) Will get 5) Her mother asked her what would she do after she graduated from college. a) From b) Her c) Would/she d) mother 6) When you add sugar to it, your cup of coffee becomes not only sweet, also fattening a) Also b) Becomes c) To d) Cup of 7) The sales man recomm...
1 answer
What is a cubic spline? Explain how the limited functionality of a cubic curve is overcome by using a cubic spline. In designing shapes using curves, which method would you prefer, Lagrange polynomia...
What is a cubic spline? Explain how the limited functionality of a cubic curve is overcome by using a cubic spline. In designing shapes using curves, which method would you prefer, Lagrange polynomial or cubic spline? Why? What is a cubic spline? Explain how the limited functionality of a cubic cur...
1 answer
Describe how epidemiological data influences changes in health practices. Provide an example and explain what data...
Describe how epidemiological data influences changes in health practices. Provide an example and explain what data would be necessary to make a change in practice....
1 answer
Liz deposited $600 at the end of every month into an RRSP for 8 years. The...
Liz deposited $600 at the end of every month into an RRSP for 8 years. The interest rate earned was 4.50% compounded semi-annually for the first 3 years and changed to 4.75% compounded monthly for the next 5 years. What was the accumulated value of the RRSP at the end of 8 years? Round to the neares...
1 answer
Pleez help asaaap Question 1 of 12 -13 View Policies Current Attempt in Progress What is...
pleez help asaaap Question 1 of 12 -13 View Policies Current Attempt in Progress What is the objective of financial reporting? How do general-purpose financial statements help meet this objective. В І у т т L = = . a O Words Save for Later Attempts: 0 of 1 used Submi...
1 answer
You are a manager in a perfectly competitive market. The price in your market is $35....
You are a manager in a perfectly competitive market. The price in your market is $35. Your total cost curve is C(Q) = 10 + 2Q + .5Q2 and MC = 2 + Q. a. What level of output should you produce in the short run? b. What price should you charge in the short run? c. Will you make any profits in the shor...
1 answer
Draw the major organic product of the following reaction. H,PO, 85% 170°C
Draw the major organic product of the following reaction. H,PO, 85% 170°C...
1 answer
A 2.0-cm-tall object is 17.5 cm in front of a diverging lens that has a -25...
A 2.0-cm-tall object is 17.5 cm in front of a diverging lens that has a -25 cm focal length. 1. Calculate the image position. 2. Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted....