Which angle is coterminal with 13p/4

In this case, since we are given the angle in radians, add or subtract. The correct answer is:. Which angle is NOT coterminal with? To obtain any angle that is coterminal with , either add or subtract , or in this case its equivalent,. Adding yields:. Subtracting yields:. The only answer not generated either way is. Which two angles are both coterminal with?

For an angle to to coterminal with , it must be equivalent to that angle, pointing up. The two angles that work are and. We can visualize why works in a couple different ways. If we know that the angle pointing straight down is , we can see that the negative version of that would point straight up.

We could also count clockwise around the circle three -angles, which would place us at. Similarly, counting around the unit circle nine -angles would place us at.

We could also subtract , or equivalently , to figure out where the angle is within the unit circle:. Coterminal angles have the same initial and terminal sides. If you imagine this on a cartesian plane, it is simply the x-axis. To find the correct "amount of angle" to subtract, multiply by multiples of 2 until you get an angle value that would give a negative angle when subtracted.

Which of the following angles is coterminal with? We can find angles coterminal to this by adding or subtracting multiples of. In this case:. Find positive angles between and which are coterminal to , , and.

To find an angle coterminal to another given angle, simply add or subtract or to the given angle measure. The problem restricts the desired coterminal angles to those which lie between and. Hence, for each given angle measure we must find the angle between and which is equivalent to that angle by adding or subtracting multiples of or. Hence, the positive angles between and which are coterminal to , , and are , , , respectively.

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Example Question 11 : Coterminal Angles. Possible Answers:. Correct answer:. Explanation : Coterminal angles are angles in standard position that have a common terminal side. So we can write: So a angle and a angle are coterminal with a angle. Report an Error. Example Question 12 : Coterminal Angles. In order to find a positive and a negative angle coterminal with , we need to subtract one full rotation and two full rotations : So a angle and a angle are coterminal with a angle.

Example Question 13 : Coterminal Angles. Explanation : To find a possible coterminal angle, add or subtract multiples of degrees, or radians. These are all possible coterminal angles. Example Question 14 : Coterminal Angles. For a right triangle, the side that is opposite of the right angle is called the hypotenuse.

This side will always be the longest side of the right triangle. The other two shorter sides are called legs. For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6 are not pythagorean triple…. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle…. Since we get a true equation, this means the original equation is true for the given a,b,c values.

So we do have a right triangle….