Finding the Trig Value of an Angle
Finding the trig value of an angle is the free tool that helps you to solve the trigonometric values using an angle in a fraction of seconds. To use this calculator, you need to give the input fields and click on the calculate button to get the answer in a blink of an eye.
Finding the Trig Value of an Angle Calculator: Need to find the trigonometric value using angle? If yes, then you are on the right page. In this calculator tool, you can find the value of a trigonometric equation using an angle in seconds. In further sections, you can also see the steps on how to find the trig equations using an angle and provided with steps to do it manually along with a solved example.
How to Find the Trig Values of an Angle?
Before looking into the steps of finding a value of a trigonometric function using an angle. We will do some basic things like knowing about trigonometric values of angle.
| Angle (in Degrees) | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| Angle (in Radians) | 0 | π/6 | π/4 | π/3 | π/2 | π | 3π/2 | 2π |
| Sin | 0 | 1/2 | 1/√2 | √3/2 | 1 | 0 | -1 | 0 |
| Cos | 1 | √3/2 | 1/√2 | 1/2 | 0 | -1 | 0 | 1 |
| Tan | 0 | 1/√3 | 1 | √3 | ∞ | 0 | ∞ | 0 |
| Cot | ∞ | √3 | 1 | 1/√3 | 0 | ∞ | 1 | ∞ |
| Sec | 1 | 2/√3 | √2 | 2 | ∞ | -1 | ∞ | 1 |
| Cosec | ∞ | 2 | √2 | 2/√3 | 1 | ∞ | -1 | ∞ |
Now, look into the steps to find the value of trigonometric functions using values easily.
- First, step write the value that was given in the problem.
- If the angle is above 360, then divide the angle.
- And the remainder which you get should be in the forms like (90 + θ), (90 - θ), (270 + θ), (270 - θ), (180 - θ), (180 + θ), (360 + θ), (360 - θ).
- After that, you need to convert the trig ratios, from sin <->cos, cosec <-> sec, tan <-> cot.
- Finally, get the answer of the trig value of an angle.
Examples:
Question 1: Find the value of CSC(-225°)?
Solution:
Given,
csc(-225°)
= csc(-180° + 45°)
= csc ( 45°)
= sec(45°)
Taking value from the table,
= √2.
Therefore, csc(-225°) = √2.
Question 2: Find the value of sin(18π/3)?
Solution:
Given,
sin(18π/3) = sin(5π + π/3)
= sin(π/3)
= √3/2.
Therefore, sin(18π/3) = √3/2.
Apart from the above calculator, if you need any other calculator tools and concepts, you can use our website arithmeticcalculators.com
FAQs on Finding the Value of Trig Functions using an Angle Calculator
1. What is the best tool that finds the value of trig functions using angle?
Find the Trig Values of an Angle Calculator is the best tool to find the value of trig functions using angle.
2. How to use this Find the Trig Values of an Angle Calculator?
Simply, give the values in the input fields and click on the calculate button and get the answers immediately.
3. What are the steps to find the value of trig functions using angle?
- If the angle is above 360, then divide the angle.
- And the remainder which you get should be in the forms like (90 + θ), (90 - θ), (270 + θ), (270 - θ), (180 - θ), (180 + θ), (360 + θ), (360 - θ).
- After that, you need to convert the trig ratios, from sin <->cos, cosec <-> sec, tan <-> cot.
- Finally, get the answer of the trig value of an angle.
