In this lessons we will look in ~ the reciprocal trigonometric functions: secant, cosecant and also cotangent.

Related PagesTrigonometric FunctionsTrigonometric GraphsLessons ~ above TrigonometryTrigonometric Identities

We can acquire three an ext trigonometric functions by taking the reciprocals the three straightforward functions: sine, cosine and also tangent.

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

The secant function is the mutual of the cosine function. The abbreviation that secant is sec.

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

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

The complying with diagram reflects the reciprocal Trigonometric Functions. Scroll down the web page for moreexamples and also solutions on exactly how to use the mutual trigonometric functions.


Example:Given the

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

Solution:We have the right to use the Pythagorean theorem to gain the 3rd side that the right triangle.

 a) we then gain that
 b) us have


Reciprocal Ratios: Cosecant, Secant, Cotangent.

Opposite Sides, nearby Sides and Hypotenuse that a right Triangle meaning of Cos, Sin, Tan, Csc, Sec, Cot

Find the Cosecant the an angle in a best TriangleGiven any type of two sides of a best triangle, you can find any kind of of the 6 trigonometric ratios. This trouble demonstrates just how to determine the cosecant that a right triangle. Making use of the Pythagorean to organize to discover a missing side is demonstrated.

Reciprocal Identities the Trig Functions This tutorial consists the mutual identities and also shows them in various forms.

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