What quadrant is 7pi 8 in?

What quadrant is 7pi 8 in?

The angle is in the third quadrant.

What is pi divided by 2 in degrees?

Degrees and Radians

A B
30 degrees pi/6 radians
45 degrees pi/4 radians
60 degrees pi/3 radians
90 degrees pi/2 radians

What degree is 3pi 8?

So final answer is 68°.

What is the value of Tan 3 Pi by 8?

3π8⋅(180oπ) is 67.5o and so it’s in quadrant I ( 67.5o<90.0o ), making the condition + .

Are reference angles always acute?

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.

Can a reference angle be 90 degrees?

The reference angle must be <90∘. Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis.

What is the reference angle of 330 degrees?

30°

What is the reference angle for 180 degrees?

What is the reference angle of 300 degrees?

60 degrees

What’s the reference angle of degrees?

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the x-axis.

What is the reference angle of 600 degrees?

Subtract 360° 360 ° from 600° 600 ° . The resulting angle of 240° 240 ° is positive, less than 360° 360 ° , and coterminal with 600° 600 ° .

What is the reference angle of 510 degrees?

Subtract 360° 360 ° from 510° 510 ° . The resulting angle of 150° 150 ° is positive, less than 360° 360 ° , and coterminal with 510° 510 ° .

What is 510 degrees expressed in radian measure?

The exact value of 510∘ in radians is 25π6 rad.

What is the reference angle of 640 degrees?

280°

What is the exact value of cos 7pi 6?

Trigonometry Examples The exact value of cos(π6) cos ( π 6 ) is √32 .

What is the sine value of 7 pi over 6?

7π/6 radians is equivalent to (7π/6)(180°/π) = 210°, a 3rd-quadrant angle whose reference angle is 30°. The sine of angles in the 3rd quadrant is negative. In radians mode, your calculator can tell you this result directly.

What is cos at Pi 2?

cos(π2)=0.

What is the value 2 pi?

3.14159

What is cos at Pi?

The cosine of pi is equal to -1.

What is 2π?

Recall that the circumference of a circle is 2πR, so that means there are 2π, or roughly 6.28 radians in a full circle. Because a full circle is also exactly 360°, each radian comes out to approximately 57.296°.