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ok, so what about deriving the other ratios from knowing that sine=0.642?

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ok, so what about deriving the other ratios from knowing that sine=0.642?

I did this last year, but GUESS WHAT? I have no textbook this year and my teacher is... is... well.... no comment.

Guest Oct 13, 2017
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#1
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Once you know the sine of an angle, then you can get all the other functions using this famous identity:

Sin^2(x)  +  Cos^2(x) =1. To see how, go online to this link: https://en.wikipedia.org/wiki/Sine

Go down the page to "Other Trigonometric Functions" and look at the first column.

Guest Oct 13, 2017
edited by Guest  Oct 13, 2017
#2
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sine  =  y / r  =   .642 / 1

cosecant =   r / y  =   1 / .642

cosine =   x / r

Note....  x = sqrt (1 - y^2 )  =    sqrt ( 1 - .642^2) ≈ .7667

So.....x / r  =  .7667/ 1

secant  =  r / x   =   1 / .7667

tangent  =   y / x  =  .642 / .7667

cotangent  =  x / y  = .7667 / ,642

CPhill  Oct 13, 2017

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