The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite that angle to the length of …

Sine, Cosine and Tangent. Sine, Cosine and Tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle: For a given angle θ each ratio stays the same …

This page explains the sine, cosine, tangent ratio, gives on an overview of their range of values and provides practice problems on identifying the sides that are opposite and adjacent to a …

Cosine, written as cos⁡ (θ), is one of the six fundamental trigonometric functions. There are two main ways in which trigonometric functions are typically discussed: in terms of right triangles …

The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse. The cosine function is one of the three main primary trigonometric functions and it …

For a right triangle with an angle θ : Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent. …

In the fourth quadrant (IV), cos (and sec) are positive. These just follow from the sign (+ or -) of x or y for each quadrant, as we saw above. These signs are important when we are finding an …

We know that cos α = x/r. Since r > 0 , the sign of the cosine function depends only on the sign of x . Therefore, the cosine is positive in the 1st and 4th quadrants, and negative in the 2nd and …

Also, cosine is the x-coordinate of a point on the unit circle, and sine is the y-coordinate of a point on the unit circle. Of course, once you know the signs of sine, cosine, and tangent in a given …

Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the …