In these lessons we will certainly look at the mutual trigonometric functions: secant, cosecant and cotangent.

Related PagesTrigonometric FunctionsTrigonometric GraphsLessons on TrigonometryTrigonometric Identities

We can get three more trigonometric features by acquisition the reciprocals the three simple functions: sine, cosine and tangent.

You are watching: Secant is the reciprocal of which other ratio

The secant function is the reciprocal of the cosine function. The abbreviation the secant is sec.

The cosecant function is the reciprocal of the sine function. The abbreviation that cosecant is csc or cosec.

The cotangent function is the mutual of the tangent function. The abbreviation of cotangent is cot.

The following diagram shows the reciprocal Trigonometric Functions. Scroll under the page for moreexamples and solutions on how to usage the mutual trigonometric functions.


Example:Given that

, and that θ is acute, find, without using a calculator, the worth ofa) sec θb) cot θ

Solution:We can use the Pythagorean organize to gain the third side that the best triangle.

 a) we then gain that
 b) we have


Reciprocal Ratios: Cosecant, Secant, Cotangent.

Opposite Sides, adjacent Sides and Hypotenuse the a best Triangle meaning of Cos, Sin, Tan, Csc, Sec, Cot

Find the Cosecant that an edge in a appropriate TriangleGiven any two political parties of a ideal triangle, you have the right to find any type of of the 6 trigonometric ratios. This trouble demonstrates just how to determine the cosecant the a ideal triangle. Using the Pythagorean organize to find a absent side is demonstrated.

Reciprocal Identities of Trig Functions This tutorial consist of the mutual identities and shows them in assorted forms.

See more: Stand Not Upon The Order Of Your Going, But Go At Once, (24 X 36): Posters & Prints

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