Tan 7pi/8 can also be expressed using the equivalent of the given angle (7pi/8) in degrees (157.5°).

How do you convert 7pi to degrees?

That is a “radian” is the length of the circumference divided by the length of the radius. Patrick H. π=180∘ , so 7π=1260∘ .

What quadrant is 7pi 8 in?

The angle is in the second quadrant.

What quadrant is sin 7pi 8 in?

Here, since we want to find sin(7π8) , we know that x2=7π8 and x=7π4 . Note that the ± sign has just turned into a positive sign: the sine of 7π8 will be positive since 7π8 is in the second quadrant.

How many degrees is 6pi?

So, π6 measures 30˚.

How do you convert 7pi 6 to degrees?

In degrees, 7π6 is 210° .

Where is 7pi 2 on the unit circle?

The value of sin 7pi/2 can be calculated by constructing an angle of 7π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of sin 7pi/2 is equal to the y-coordinate (-1). ∴ sin 7pi/2 = -1.

What is the reference angle of 7pi 4?

Add 2π 2 π to −7π4 – 7 π 4 . The resulting angle of π4 π 4 is positive and coterminal with −7π4 – 7 π 4 . Since π4 is in the first quadrant, the reference angle is π4 .

How do you find the exact value of sin 7pi 8?

Sine of seven pi divided by eight. The negative answer is rejected because sin(π8) s i n ( π 8 ) is positive. Therefore, the exact value of sin(7π8) s i n ( 7 π 8 ) =√2−√22 2 − 2 2 .

Where is 3pi 8 on the unit circle?

So, 3π8=π4+π8 = north-north-east.

Is a reference angle?

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. 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.

How do you find the exact value of sin 7pi 4?

The value of sin 7pi/4 can be calculated by constructing an angle of 7π/4 radians with the x-axis, and then finding the coordinates of the corresponding point (0.7071, -0.7071) on the unit circle. The value of sin 7pi/4 is equal to the y-coordinate (-0.7071). ∴ sin 7pi/4 = -0.7071.

How do you convert angles to degrees?

To convert radians to degrees, multiply the radian by 180/ π. So, the formula is given by, Angle in radian x 180/ π = Angle in degrees.

What quadrant is 6pi?

The angle is in the third quadrant.

How many radians are in a circle?

The size of a radian is determined by the requirement that there are 2 radians in a circle. Thus 2 radians equals 360 degrees. This means that 1 radian = 180/ degrees, and 1 degree = /180 radians.