What is the exact value of cot 19pi 6?
Trigonometry Examples The exact value of cot(π6) cot ( π 6 ) is √3 .
What is the Coterminal of 19pi 6?
Trigonometry Examples The resulting angle of 7π6 7 π 6 is positive, less than 2π 2 π , and coterminal with 19π6 19 π 6 .
How do you find the exact value of sec 19pi 6?
Make the expression negative because secant is negative in the third quadrant. The exact value of sec(π6) sec ( π 6 ) is 2√3 . Multiply 2√3 by √3√3 .
In which quadrant will Cos 19pi 6 lie?
Make the expression negative because cosine is negative in the third quadrant. The exact value of cos(π6) cos ( π 6 ) is √32 .
Where is 19pi 3 on the unit circle?
Tan 19pi/3 Using Unit Circle Rotate ‘r’ anticlockwise to form pi/3 or 19pi/3 angle with the positive x-axis. The tan of 19pi/3 equals the y-coordinate(0.866) divided by the x-coordinate(0.5) of the point of intersection (0.5, 0.866) of unit circle and r.
What is the reference angle for 19pi 9?
Trigonometry Examples Since π9 is in the first quadrant, the reference angle is π9 .
What is Pi 6 on the unit circle?
In this case, π6 refers to the angle in radians, an alternate unit of measurement for angles ( π rad = 180°). The point on the unit circle that is intersected by this line is ( √32 , 12 ). Finally, the function, sin( θ ) returns a value equal to the y-coordinate of the point, giving us an answer of 12 .
What is the reference angle of 29pi 6?
Trigonometry Examples Subtract 2π 2 π from 29π6 29 π 6 . The resulting angle of 17π6 17 π 6 is positive, less than 2π 2 π , and coterminal with 29π6 29 π 6 .
What is the reference angle of?
Rules for Reference Angles in Each Quadrant
| Quadrant | Angle, θ | Reference Angle Formula in Degrees |
|---|---|---|
| I | lies between 0° and 90° | θ |
| II | lies between 90° and 180° | 180 – θ |
| III | lies between 180° and 270° | θ – 180 |
| IV | lies between 270° and 360° | 360 – θ |
What is the reference angle of 19pi 3?
Since π3 is in the first quadrant, the reference angle is π3 .