111k views
0 votes
if 0= 2pi/3, then the value of cos 0= -1/2.Part A: What is another angle, 0, that has the same value of cos 2pi/3, if 0<0<2pi?Part B: Name two angles that have the opposite value of cos 2pi/3, if 0<0<2pi.

User Veejay
by
8.2k points

1 Answer

4 votes

The other angle with the same value of 2pi/3 for the cosine function is given by:


\frac{2\pi{}}{3}+\frac{\pi{}}{2}=\frac{7\pi{}}{6}

Because the cosine and sine function repeat the absolute value every pi/2, to localize the sign you can think about the trigonometric circle.

As I stated before the cosine and sine function repeat the absolute value every pi/2, to localize the sign you can think about the trigonometric circle. The values between pi/2 and 3pi/2 are negative and the others are positive.

B part)

To find the two values with the opposite value we need to take pi/2 from our angle, and add pi to find the two values.


(2\pi)/(3)+\pi=(5\pi)/(3)

and


(2\pi)/(3)-(\pi)/(2)=(\pi)/(6)

With this we have all the angles.

User Grasshopper
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories