What is the exact value of sin 255?
What is the exact value of sin 255?
sin 255 = sin (75 + 180) = – sin 75.
What is the exact value of sin 225 degrees?
Important Angle Summary
| θ° | θradians | sin(θ) |
|---|---|---|
| 180° | π | 0 |
| 210° | 7π/6 | -1/2 |
| 225° | 5π/4 | -√2/2 |
| 240° | 4π/3 | -√3/2 |
What is the sum and difference formula?
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 | cos(α−β)=cosαcosβ+sinαsinβ |
What is the exact value of tan?
The exact value of tan(0) is 0 .
Which is the sin 30?
The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.
Why TAN 90 is infinity?
Here the angle is between a ray connecting the origin with the point (x,y) and the x-axis (positive angles measured counterclockwise). Using this method the tan of the angle is defined to be y/x. Since any angle having 90° will be on the y-axis, x will be zero. Division by zero is undefined therefore so is tan (90°).
Why is the sin of 90 degrees 1?
Now the value of y becomes 1 since it touches the circumference of the circle. Therefore the value of y becomes 1. Therefore, sin 90 degree equals to the fractional value of 1/ 1.
What is the value of sin 90 minus theta?
All triangles have 3 angles that add to 180 degrees. Therefore, if one angle is 90 degrees we can figure out Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta).
What is sin of negative theta?
cos(-θ) = cos θ & sin(-θ) = – sin θ. These are the negative angle identities. Although the diagram shows the angle θ in the first quadrant, the same conclusion can be reached when θ lies in any quadrant, and so the negative angle identities hold for all angles θ.
What is sin 180 plus Theta?
Trigonometric ratios of 180 degree plus theta is one of the branches of ASTC formula in trigonometry. Trigonometric-ratios of 180 degree plus theta are given below. sin (180° + θ) = – sin θ cos (180° + θ) = – cos θ tan (180° + θ) = tan θ
What is cot Theta?
cot(θ) = 1/tan(θ) And we also have: cot(θ) = cos(θ)/sin(θ)
What is sin 2x equal to?
That’s all it takes.
What is the reciprocal of cot A?
The reciprocal of cot A is 1/tan A.