How do you find the sum of sine?
The sum formula for sines states that the sine of the sum of two angles equals the product of the sine of the first angle and cosine of the second angle plus the product of the cosine of the first angle and the sine of the second angle.
What is the exact value of sin 285?
4.9741
∴ sin 285° = sin(4.9741) = -(√6 + √2)/4 or -0.9659258. . . Explanation: For sin 285 degrees, the angle 285° lies between 270° and 360° (Fourth Quadrant). Since sine function is negative in the fourth quadrant, thus sin 285° value = -(√6 + √2)/4 or -0.9659258. . .
What is the value of cot 15?
What is Cot 15 Degrees? Cot 15 degrees is the value of cotangent trigonometric function for an angle equal to 15 degrees. The value of cot 15° is 2 + √3 or 3.7321 (approx).
How do you use the angle sum identity to find the exact value of cos 195?
Use the sum and difference identity to find the exact values of sine, cosine, and tangent of 195°=60°+135°.
What is the sum and difference formula for sin?
Key Equations
| Sum Formula for Cosine | cos(α+β)=cosαcosβ−sinαsinβ |
|---|---|
| Sum Formula for Sine | sin(α+β)=sinαcosβ+cosαsinβ |
| Difference Formula for Sine | sin(α−β)=sinαcosβ−cosαsinβ |
| Sum Formula for Tangent | tan(α+β)=tanα+tanβ1−tanαtanβ |
| Difference Formula for Tangent | tan(α−β)=tanα−tanβ1+tanαtanβ |
What is sum of difference?
The sum will be the result of adding numbers, while the difference will be the result of subtracting them. For instance, in the math problem 4 + 3 – 5, the sum of 4 and 3 will be 7, and the difference between 7 and 5 will be 2.
What is the exact value of sin 300 degrees?
-0.866
Sin 300 degrees is the value of sine trigonometric function for an angle equal to 300 degrees. The value of sin 300° is -(√3/2) or -0.866 (approx).