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Mathematics 17 Online
OpenStudy (sgayton27):

write the following in terms of sin(theta) only : cos(theta).... help ?

OpenStudy (abb0t):

What terms?

OpenStudy (sgayton27):

cos(theta) in terms of sin(theta) only

OpenStudy (sgayton27):

here is the question

OpenStudy (abb0t):

I think that you are using the fact that sin\(^2\)(x)+cos\(^2\)(x)=1 which is merely algebra. Subtract and root both sides to get sine alone.

OpenStudy (abb0t):

So, kind of like the pythagorean theorem: x\(^2\)+y\(^2\) = z\(^2\), solve for x?

OpenStudy (sgayton27):

I dont know because in my book the first clue is that cos(x)=sin(x)/tan(x).. this is a trig class

OpenStudy (abb0t):

tangent = \(\large \frac{sin}{cos}\)

OpenStudy (abb0t):

So you have: \(\huge\frac{sin(x)}{\frac{sin(x)}{cos(x)}}\)

OpenStudy (sgayton27):

how can i simplify that to sin(x) terms only

OpenStudy (sgayton27):

cos(x)= +/- sqrt (1-sin^2(x))

OpenStudy (abb0t):

You know in a fraction: \(\frac{a}{\frac{b}{c}} = \frac{ac}{b}\)

OpenStudy (sgayton27):

that right! thank you so much!

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