What is the exact value of cos 315?
0.7071
The value of cos 315° is equal to the x-coordinate (0.7071). ∴ cos 315° = 0.7071.
How do you find the exact value of CSC?
The exact value of csc(60) is 2√3 . Multiply 2√3 by √3√3 . Combine and simplify the denominator. Multiply 2√3 2 3 and √3√3 3 3 .
How do you find the exact value of sin330?
The value of sin 330 degrees can be calculated by constructing an angle of 330° 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 330° is equal to the y-coordinate (-0.5). ∴ sin 330° = -0.5.
How do you find sin 315 without a calculator?
Explanation: For sin 315 degrees, the angle 315° lies between 270° and 360° (Fourth Quadrant). Since sine function is negative in the fourth quadrant, thus sin 315° value = -(1/√2) or -0.7071067. . .
How do you solve tan 315?
The tan of 315 degrees equals the y-coordinate(-0.7071) divided by x-coordinate(0.7071) of the point of intersection (0.7071, -0.7071) of unit circle and r.
What is the cot of 315?
Trigonometric Function Values of Special Angles
| θ° | θradians | cot(θ) |
|---|---|---|
| 270° | 3π/2 | N/A |
| 300° | 5π/3 | -√3/3 |
| 315° | 7π/4 | -1 |
| 330° | 11π/6 | -√3 |
What is the csc of 45?
√2
The exact value of csc(45°) csc ( 45 ° ) is √2 .
How do you solve cot 315?
To find the value of cot 315 degrees using the unit circle:
- Rotate ‘r’ anticlockwise to form 315° angle with the positive x-axis.
- The cot of 315 degrees equals the x-coordinate(0.7071) divided by y-coordinate(-0.7071) of the point of intersection (0.7071, -0.7071) of unit circle and r.
Why is the tan 315 negative?
Trigonometry Examples Make the expression negative because tangent is negative in the fourth quadrant.
What is the exact value of cos330?
The value of cos 330° is equal to the x-coordinate (0.866). ∴ cos 330° = 0.866.