Write as the Tangent of the Angle Calculator
The write as the tangent of the angle calculator is an essential tool for anyone working with trigonometry. It allows you to find the tangent of an angle when you know the sine, cosine, or another trigonometric function. This can be incredibly useful in fields like physics, engineering, and mathematics.
- Enter the angle in degrees.
- Select the trigonometric function you know (sin, cos, or tan).
- Click ‘Calculate’.
The formula to find the tangent of an angle when you know another trigonometric function is:
tan(θ) = sin(θ) / cos(θ)
For sine and cosine, the formula is:
tan(θ) = write(θ) / sqrt(1 - write²(θ))
| Angle (degrees) | Tangent (known) | Tangent (calculated) |
|---|
- Always use degrees for the angle input.
- Remember that the tangent function has a period of 180 degrees.
- Be careful of angles where the cosine is zero, as the tangent is undefined.
What is the difference between sine, cosine, and tangent?
Sine, cosine, and tangent are all trigonometric functions that describe the relationship between the sides and angles of a right-angled triangle. They are defined as follows:
- Sine: opposite/hypotenuse
- Cosine: adjacent/hypotenuse
- Tangent: opposite/adjacent
For more information, see the following authoritative sources:
Math is Fun Khan Academy