The trigonometric ratios can likewise be thought about as attributes of a variable which is the measure up of one angle.

This edge measure have the right to either be provided in degrees or radians . Here, us will use radians. Since any angle v a measure higher than 2 π radians or much less than 0 is equivalent to part angle v measure 0 ≤ θ 2 π , every the trigonometric features are routine .

The graph of the sine function looks like this:

note that the domain that the duty y = sin ( x ) ) is all actual numbers (sine is defined for any angle measure), the selection is − 1 ≤ y ≤ 1 .

The graph that the cosine duty looks like this:

The domain that the role y = cos ( x ) is all genuine numbers (cosine is identified for any type of angle measure), the selection is − 1 ≤ y ≤ 1 .

The graph of the tangent duty looks like this:

The domain the the duty y = tan ( x ) ) is all genuine numbers other than the worths where cos ( x ) is equal to 0 , the is, the values π 2 + π n for all integers n . The selection of the tangent role is all real numbers.

The graph the the secant function looks favor this:

The domain that the role y = sec ( x ) = 1 cos ( x ) is again all actual numbers other than the worths where cos ( x ) is same to 0 , the is, the values π 2 + π n for all integers n . The variety of the duty is y ≤ − 1 or y ≥ 1 .

The graph that the cosecant function looks choose this:

The domain that the duty y = csc ( x ) = 1 sin ( x ) is all genuine numbers except the values where sin ( x ) is same to 0 , that is, the values π n for all integers n . The selection of the function is y ≤ − 1 or y ≥ 1 .

The graph the the cotangent duty looks favor this:

The domain of the function y = cot ( x ) = cos ( x ) sin ( x ) is all real numbers except the values where sin ( x ) is equal to 0 , that is, the values π n for every integers n .

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The selection of the function is all genuine numbers.