The tan theta formula is: tan θ = sin θ / cos θ.
Here's a breakdown:
- θ (theta) represents an angle.
- tan θ (tangent of theta) is a trigonometric function.
- sin θ (sine of theta) is the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle.
- cos θ (cosine of theta) is the ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle.
Therefore, the tangent of an angle is equal to the sine of the angle divided by the cosine of the angle. This can also be expressed in terms of the sides of a right triangle as:
tan θ = (Opposite Side) / (Adjacent Side)
