What is the relationship between tangent sine and cosine?

When the ratio involves the sides: oppositehypotenuse it is called Sine . When the ratio involves the sides: adjacenthypotenuse it is called Cosine. When the ratio involves the sides: oppositeadjacent it is called Tangent. The ratios are always found with reference to an angle and they represent a value.Mar 31, 2018

How are tangent and cosine related?

The cosine (often abbreviated "cos") is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. And the tangent (often abbreviated "tan") is the ratio of the length of the side opposite the angle to the length of the side adjacent.

How is the tangent function different from sine and cosine?

The sine, cosine and tangent functions are said to be periodic. This means that they repeat themselves in the horizontal direction after a certain interval called a period. The sine and cosine functions have a period of 2π radians and the tangent function has a period of π radians.

What is the formula for sine cosine and tangent?

Now as per sine, cosine and tangent formulas, we have here: Sine θ = Opposite side/Hypotenuse = BC/AC. Cos θ = Adjacent side/Hypotenuse = AB/AC. Tan θ = Opposite side/Adjacent side = BC/AB.

How do you find sine and cosine?

What is the relationship of sine cosine and tangent to cosecant secant and cotangent?

The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.

How are the sine and cosine graphs different from the other trig function graphs?

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

How are the graphs of sine and cosine similar?

The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the horizontal axis that has a length of . The sine and cosine functions have the same domain—the real numbers—and the same range—the interval of values .

Why is it called sine cosine and tangent?

The word tangent comes from the Latin tangere, to touch. The word sine comes from the Latin sinus, bosom, because early translators mistook the Arabic word for chord and thought it was the Arabic word for bosom. The "co-" prefix in cosine and cotangent simply stands for co-angle, the complementary angle.