CK12 - Geometry

InverseSine

Just as you usedarctangentas the inverseoperationfor tangent,you can also use arcsine(shortenedas
arcsin)as the inverseoperationfor sine.The samerulesapply. You can use it to isolatea variablefor an
anglemeasurement,but you mustperformthe operationon both sidesof the equation.Whenyou knowthe
arcsinevalue,use a tableor a calculatorto find the measureof the angle.

Example 3

Solvefor if

You can use the inverseof sine,arcsineto find this value.

Thenuse your calculatorto find the arcsineof.

Example 4

Whatis in the trianglebelow?

First identifythe propertrigonometricratio relatedto angle that can be foundusingthe sidesgiven.The
sine usesthe oppositeside and the hypotenuse,so it will be relevanthere.

Now use the arcsineto isolatethe valueof angle.

Finally, use your calculatorto find the arcsineof.