Sin Cos Tan Value Table
Contents
What are the values of sin, cos and tan?
Sin Cos Tan Chart – Let us see the table where the values of sin cos tan sec cosec and tan are provided for the important angles 0°, 30°, 45°, 60° and 90°
| Angles (in degrees) | 0° | 30° | 45° | 60° | 90° |
| Angles (in radian) | 0 | π/6 | π/4 | π/3 | π/2 |
| Sin θ | 1/2 | 1/√2 | √3/2 | 1 | |
| Cos θ | 1 | √3/2 | 1/√2 | 1/2 | |
| Tan θ | 1/√3 | 1 | √3 | ∞ | |
| Cot θ | ∞ | √3 | 1 | 1/√3 | |
| Sec θ | 1 | 2/√3 | √2 | 2 | ∞ |
| Cosec θ | ∞ | 2 | √2 | 2/√3 | 1 |
What is the trigonometric value table?
Trigonometry Table is a standard table that helps us to find the values of trigonometric ratios for standard angles such as 0°, 30°, 45°, 60°, and 90°. Trigonometric table comprises of all six trigonometric ratios: sine, cosine, tangent, cosecant, secant, cotangent.
What is tan equal to?
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x. The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x.
What is value of sin?
Value of Sin 180
| Range of the Degrees | Quadrant | Range of Sin Value |
|---|---|---|
| 0–90 | 1st quadrant | 0 |
| 90–180 | 2nd quadrant | 0 |
| 180–270 | 3rd quadrant | −1 |
| 270–360 | 4th quadrant | −1 |
Does tan 270 exist?
What is the Value of Tan 270 Degrees? – The value of tan 270 degrees is undefined. Tan 270 degrees can also be expressed using the equivalent of the given angle (270 degrees) in radians (4.71238,,) We know, using degree to radian conversion, θ in radians = θ in degrees × ( pi /180°) ⇒ 270 degrees = 270° × (π/180°) rad = 3π/2 or 4.7123,, ∴ tan 270° = tan(4.7123) = undefined 
Explanation: For tan 270 degrees, the angle 270° lies on the negative y-axis. Thus tan 270° value is not defined. Since the tangent function is a periodic function, we can represent tan 270° as, tan 270 degrees = tan(270° + n × 180°), n ∈ Z. ⇒ tan 270° = tan 450° = tan 630°, and so on. Note: Since, tangent is an odd function, the value of tan(-270°) = -tan(270°) = undefined.
What is tan-1 infinity?
What is the Value of tan -1 Infinity? – To calculate the value of the tan inverse of infinity(∞), we have to check the trigonometry table. From the table we know, the tangent of angle π/2 or 90° is equal to infinity, i.e., tan 90° = ∞ or tan π/2 = ∞ Therefore, tan -1 (∞) = π/2 or tan -1 (∞) = 90°
What is the value of sin θ?
| θ | sin θ | cos θ |
|---|---|---|
| 0° | 0 | 1 |
| 90° | 1 | 0 |
| 180° | 0 | −1 |
| 270° | −1 | 0 |
Is tan 1 inverse?
The inverse of Tangent is represented by arctan or tan – 1. The trigonometric functions/ratios are: Sine.
What is tan at 1?
Summarized Table of Inverse Tangent
| x | Tan – 1 (x) Degree | Tan – 1 (x) Radian |
|---|---|---|
| 1 | 45° | π/4 |
| √3 | 60° | π/3 |
| 2 | 63.435° | 1.1071 |
| 3 | 71.565° | 1.2490 |
What is 0 in trigonometry?
The sine of 0 degrees is 0. In case of an angle of 0 degrees, the opposite side and the hypotenuse have the same length, which means that the sin 0 degrees is 0.
What is the value of cos?
Answer: cos 0° = 1, cos 30° = √3/2, cos 45° = 1/√2, cos 60° = 1/2, cos 90° = 0, cos 120° = -1, cos 150° = -√3/2, cos 180° = -1, cos 270° = 0, cos 360° = 1. We will find the values of angles for cos function.
What is 1 of sin?
Sin 1 Value -Using Trigonometry Functions & Taylor’s Series|Examples The value of sin 1 is 0.8414709848, in radian. In trigonometry, the complete trigonometric functions and formulas are based on three primary ratios, i.e., sine, cosine, and tangent in trigonometry.
What is the 3 value of sin?
FAQs on Sin 3 Degrees Sin 3 degrees is the value of sine trigonometric function for an angle equal to 3 degrees. The value of sin 3° is 0.0523 (approx).
What are the values of sin and cos functions?
Key Concepts –
- Finding the function values for the sine and cosine begins with drawing a unit circle, which is centered at the origin and has a radius of 1 unit.
- Using the unit circle, the sine of an angle \(t\) equals the \(y\)-value of the endpoint on the unit circle of an arc of length \(t\) whereas the cosine of an angle \(t\) equals the \(x\)-value of the endpoint. See Example,
- The sine and cosine values are most directly determined when the corresponding point on the unit circle falls on an axis. See Example,
- When the sine or cosine is known, we can use the Pythagorean Identity to find the other. The Pythagorean Identity is also useful for determining the sines and cosines of special angles. See Example,
- Calculators and graphing software are helpful for finding sines and cosines if the proper procedure for entering information is known. See Example,
- The domain of the sine and cosine functions is all real numbers.
- The range of both the sine and cosine functions is \(\).
- The sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.
- The signs of the sine and cosine are determined from the x – and \(y\)-values in the quadrant of the original angle.
- An angle’s reference angle is the size angle, \(t\), formed by the terminal side of the angle \(t\) and the horizontal axis. See Example,
- Reference angles can be used to find the sine and cosine of the original angle. See Example,
- Reference angles can also be used to find the coordinates of a point on a circle. See Example,
What are the values of cos?
Answer: cos 0° = 1, cos 30° = √3/2, cos 45° = 1/√2, cos 60° = 1/2, cos 90° = 0, cos 120° = -1, cos 150° = -√3/2, cos 180° = -1, cos 270° = 0, cos 360° = 1. We will find the values of angles for cos function.
What are the values of the tan function?
The values of the tangent function at specific angles are: tan 0 = 0. tan π/6 = 1/√3. tan π/4 = 1.
What values are sin and cos the same?
Finding Sines and Cosines of 45° Angles – First, we will look at angles of 45^\circ or \frac, as shown in Figure 9. A 45^\circ -45^\circ -90^\circ triangle is an isosceles triangle, so the x- and y -coordinates of the corresponding point on the circle are the same. Because the x- and y -values are the same, the sine and cosine values will also be equal. 
Figure 9 At t=\frac, which is 45 degrees, the radius of the unit circle bisects the first quadrantal angle, This means the radius lies along the line y=x. A unit circle has a radius equal to 1. So, the right triangle formed below the line y=x has sides x and y\text \left(y=x\right), and a radius = 1. 
Figure 10 From the Pythagorean Theorem we get ^ + ^ =1 Substituting y=x, we get ^ + ^ =1 Combining like terms we get 2 ^ =1 And solving for x, we get \begin ^ =\frac \\ x=\pm \frac }\end In quadrant I, x=\frac }. At t=\frac or 45 degrees, \begin \left(x,y\right)=\left(x,x\right)=\left(\frac },\frac }\right) \\ x=\frac },y=\frac }\\ \cos t=\frac },\sin t=\frac } \end If we then rationalize the denominators, we get \begin \cos t&=\frac }\frac } } =\frac } \\ \sin t&=\frac }\frac } }=\frac } \end Therefore, the \left(x,y\right) coordinates of a point on a circle of radius 1 at an angle of 45^\circ are \left(\frac },\frac } \right).
