What is the exact value of 5pi 6?

0.5
The value of sin 5pi/6 is 0.5. Sin 5pi/6 radians in degrees is written as sin ((5π/6) × 180°/π), i.e., sin (150°).

What quadrant would 5pi over 6 be in?

The angle is in the second quadrant.

What is the value of sin 5 Pi by 6?

12
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of sin(π6) sin ( π 6 ) is 12 .

What is the sine and cosine of 5pi 6?

COSINE will be negative. sin(π6)=12 , so sin(5π6)=12 .

What are the six trig function values of π 6?

1 Answer

• sin(π6)=12csc(π6)=2.
• cos(π6)=√32sec(π6)=2√3.
• tan(π6)=1√3cot(π6)=√3.

Where is negative 5pi 6 on the unit circle?

Explanation: On the unit circle, the arc −5π6 lies between the arcs (−π2)and−π .

Which of the following best explains why Tan 5pi 6 does not equal to tan 5pi 3?

Which of the following best explains why tangent of (5pi/6) DOES NOT equal tangent of (5pi/3)? The angles do not have the same reference angle.

How do you evaluate sin pi 6?

The value of sin pi/6 can be calculated by constructing an angle of π/6 radians with the x-axis, and then finding the coordinates of the corresponding point (0.866, 0.5) on the unit circle. The value of sin pi/6 is equal to the y-coordinate (0.5). ∴ sin pi/6 = 0.5.

What is cosine of pi over 6?

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

Which angle is Coterminal with the angle 5pi 6?

The resulting angle of 7π6 7 π 6 is positive and coterminal with −5π6 – 5 π 6 .

What are the 6 trig functions of 5pi?

The remaining trig functions are just functions of sine and cosine.

• tan(5π)=sin(5π)cos(5π)=0−1=0.
• sec(5π)=1cos(5π)=1−1=−1.
• csc(5π)=1sin(5π)=10 is undefined.
• cot(5π)=cos(5π)sin(5π)=−10 is undefined.

How to find the value of 5pi/6 as a fraction?

Find the Reference Angle (5pi)/6. 5π 6 5 π 6. Since the angle 5π 6 5 π 6 is in the second quadrant, subtract 5π 6 5 π 6 from π π. π− 5π 6 π – 5 π 6. Simplify the result. Tap for more steps… To write π π as a fraction with a common denominator, multiply by 6 6 6 6. π ⋅ 6 6 − 5 π 6 π ⋅ 6 6 – 5 π 6. Combine fractions.

What is the value of Cos 5PI 6 on the circle?

On the trig unit circle, cos(5π 6) = cos(− π 6 + π) = −cos(π 6) Trig Table of Special Arcs gives –> cos(5π 6) = −cos(π 6) = − √3 2

What does ⇒ 5π 6 radian mean?

= 5π 6 ⋅ 180 π = 5 ⋅ 30 = 150 degree. ⇒ 5π 6 radian = 150 degree.

What is 1/6 of a pie?

Of is an English language word meaning “multiplied by.” 1/6 * 1/6 is 1*1 over 6*6. To see if it makes sense, try this. Take a pie and cut it into 36 slices. Now, if you want a sixth of a pie, you’ll need 6 of those slices. So just one slice out of those six must be 1/36th of the pie.