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Mathematics 16 Online
OpenStudy (anonymous):

sin(cos^-1x)

hartnn (hartnn):

let cos^-1 x = u so, cos u =x so u just need sin u , from cos u =x.....

hartnn (hartnn):

know the relation between sin and cosine ?

hartnn (hartnn):

no ? \(\large \sin^2 x+\cos^2x=1\)

OpenStudy (anonymous):

I suck at Calc and dont know im doing it correctly

OpenStudy (anonymous):

And I dont know the relation

hartnn (hartnn):

tell me whether you can get sin u knowing that cos u = x from the relation, sin^2 u +cos^2 u =1

hartnn (hartnn):

now you know :)

OpenStudy (anonymous):

Thanks

OpenStudy (noelgreco):

The easiest method to use in this type of problem is to draw a picture. \[\cos^{-1} x\] implies that someone took the cosine of an angle and got the number x. What would the triangle look like?|dw:1371424058046:dw| Now, using the Pythagorean Theorem, figure out the side opposite the angle and calculate the sin Note that you never have to calculate the angle. This works for all 6 trig functions.

OpenStudy (anonymous):

Okay Kool. Thanks

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