How do you find the exact value of sin 300 degrees?
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How do you find the exact value of sin 300 degrees?
The value of sin 300 degrees can be calculated by constructing an angle of 300° with the x-axis, and then finding the coordinates of the corresponding point (0.5, -0.866) on the unit circle. The value of sin 300° is equal to the y-coordinate (-0.866). ∴ sin 300° = -0.866.
What is the value of sin 300 degrees in fraction?
Trigonometric Function Values of Special Angles
| θ° | θradians | sin(θ) |
|---|---|---|
| 270° | 3π/2 | -1 |
| 300° | 5π/3 | -√3/2 |
| 315° | 7π/4 | -√2/2 |
| 330° | 11π/6 | -1/2 |
How do you find the exact value of cos 300?
The value of cos 300 degrees can be calculated by constructing an angle of 300° with the x-axis, and then finding the coordinates of the corresponding point (0.5, -0.866) on the unit circle. The value of cos 300° is equal to the x-coordinate (0.5). ∴ cos 300° = 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. . .
What is the exact value of sin 360?
0
FAQs on Sin 360 Degrees Sin 360 degrees is the value of sine trigonometric function for an angle equal to 360 degrees. The value of sin 360° is 0.
What’s the exact value of sin 60?
√3/2
From the above equations, we get sin 60 degrees exact value as √3/2.
What is the value of sin (- 330 is?
Sin 330 degrees is the value of sine trigonometric function for an angle equal to 330 degrees. The value of sin 330° is -(1/2) or -0.5.
What is the exact value of cot 300?
-0.5774
Cot 300 degrees is the value of cotangent trigonometric function for an angle equal to 300 degrees. The value of cot 300° is -(1/√3) or -0.5774 (approx).
How do you find cot 300?
For cot 300 degrees, the angle 300° lies between 270° and 360° (Fourth Quadrant). Since cotangent function is negative in the fourth quadrant, thus cot 300° value = -(1/√3) or -0.5773502. . .
How do you find Sin 300 from sin 60?
sin(300) sin (300) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. −sin(60) – sin (60)
How do you find the sine of 30 degrees?
When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1. Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively. Using these results – sine 15° How do you find the value of the sine of 15°?
How to find the value of Sine for the same angle?
Hence, we get the values for sine ratios,i.e., 0, ½, 1/√2, √3/2, and 1 for angles 0°, 30°, 45°, 60° and 90° Now, write the values of sine degrees in reverse order to get the values of cosine for the same angles. As we know, tan is the ratio of sin and cos, such as tan θ = sin θ/cos θ.
What is the sine of 45 degrees?
sin 45°: You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2. sin 30° and sin 60°: An equilateral triangle has all angles measuring 60 degrees and all three sides are equal.