November 10, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Inverse Sine and Cosine.

In this mini-lesson you’ll learn with the help of some examples with solution, the definition and concept of the Inverse Sine and Cosine, using video and explanation in own handwriting by the instructor.

The inverse trigonometric functions (sin^{-1}, cos^{-1}, and tan^{-1}) allow you to find the measure of an angle in a right triangle. All that you need to know is any two sides as well as how to use SOHCAHTOA.

Compare sine with inverse sine (General Difference):

Sine is the ratio of two sides of a right triangle (opposite and hypotenuse). Inverse or sin^{-1} is an operation that uses the same two sides of a right triangle as sine does (opposite over hypotenuse) in order to find the measure of the angle i.e. sin^{-1} is the measure of angle.

Thus the key difference is: although both sine and inverse sine involve the opposite side and hypotenuse of a right triangle, the result of these two operations are different. One operation (sine) finds the ratio of these two sides; the other operation, sine inverse, actually calculates the measure of the angle (using the opposite side and the hypotenuse.

It will be true in the similar way for cos and cos^{-1}. But remember cos is the ratio of two sides of a right triangle (adjacent and hypotenuse).

In this mini-lesson you’ll learn with the help of some examples with solution, the definition and concept of the Inverse Sine and Cosine, using video and explanation in own handwriting by the instructor.

The inverse trigonometric functions (sin

Compare sine with inverse sine (General Difference):

Sine is the ratio of two sides of a right triangle (opposite and hypotenuse). Inverse or sin

Thus the key difference is: although both sine and inverse sine involve the opposite side and hypotenuse of a right triangle, the result of these two operations are different. One operation (sine) finds the ratio of these two sides; the other operation, sine inverse, actually calculates the measure of the angle (using the opposite side and the hypotenuse.

It will be true in the similar way for cos and cos

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

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