<P> The most familiar trigonometric functions are the sine , cosine , and tangent . In the context of the standard unit circle ( a circle with radius 1 unit ) , where a triangle is formed by a ray starting at the origin and making some angle with the x-axis , the sine of the angle gives the y - component ( the opposite to the angle or the rise ) of the triangle , the cosine gives the x-component ( the adjacent of the angle or the run ) , and the tangent function gives the slope ( y - component divided by the x-component ) . For angles less than a right angle , trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle , and their values can be found in the lengths of various line segments around a unit circle . Modern definitions express trigonometric functions as infinite series or as solutions of certain differential equations , allowing the extension of the arguments to the whole number line and to the complex numbers . </P>
<P> The most familiar trigonometric functions are the sine , cosine , and tangent . In the context of the standard unit circle ( a circle with radius 1 unit ) , where a triangle is formed by a ray starting at the origin and making some angle with the x-axis , the sine of the angle gives the y - component ( the opposite to the angle or the rise ) of the triangle , the cosine gives the x-component ( the adjacent of the angle or the run ) , and the tangent function gives the slope ( y - component divided by the x-component ) . For angles less than a right angle , trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle , and their values can be found in the lengths of various line segments around a unit circle . Modern definitions express trigonometric functions as infinite series or as solutions of certain differential equations , allowing the extension of the arguments to the whole number line and to the complex numbers . </P>
what do you call sine cosine and tangent
what do you call sine cosine and tangent
trigonometric functions
trigonometric functions