Trigonometry Calculator
Calculate all six trigonometric ratios for any angle. This tool provides precise values for Sine, Cosine, Tangent, and their reciprocals instantly.
$\sin(\theta)$0
$\csc(\theta)$0
$\cos(\theta)$0
$\sec(\theta)$0
$\tan(\theta)$0
$\cot(\theta)$0
Radians: 0 rad
Understanding the Ratios
Trigonometry is based on the relationships between the angles and sides of a right triangle. The core functions are:
- Sine: Opposite / Hypotenuse
- Cosine: Adjacent / Hypotenuse
- Tangent: Opposite / Adjacent
As the angle changes, these ratios change in a predictable, wave-like pattern known as trigonometric functions.
Frequently Asked Questions
What is "SOH CAH TOA"? +
It is a mnemonic to remember the ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, and Tangent = Opposite/Adjacent.
Why is Tangent 90° undefined? +
At 90°, the adjacent side of the triangle becomes zero. Since Tangent is Opposite divided by Adjacent, you end up dividing by zero, which is mathematically undefined.
Degrees vs. Radians? +
Degrees are based on a circle divided into 360 parts. Radians are based on the radius of the circle, where $2\pi$ radians equals a full $360^\circ$ circle. Radians are preferred in higher mathematics and physics.
What are the reciprocal functions? +
Cosecant ($\csc$) is $1/\sin$, Secant ($\sec$) is $1/\cos$, and Cotangent ($\cot$) is $1/\tan$. They provide the ratios of the same sides but flipped.
No comments:
Post a Comment