tan^2x-cot^2x=?? ill draw a pic
|dw:1417999832876:dw|
\(\LARGE\color{black}{ \frac{\sin^2x}{\cos^2x}-\frac{\cos^2x}{\sin^2x} }\)
\(\LARGE\color{black}{ \frac{\sin^2x\sin^2x}{\cos^2x\sin^2x}-\frac{\cos^2x\cos^2x}{\sin^2x\cos^2x} }\)
okay so common denominators and i just cancel what needs to be canceled?
you are right about the common denominator, but don't be too quick... tell me first, what do you get after adding the fractions.
\(\LARGE\color{black}{ \frac{\sin^2x\sin^2x}{\cos^2x\sin^2x}-\frac{\cos^2x\cos^2x}{\sin^2x\cos^2x} }\) \(\LARGE\color{black}{ \frac{\sin^2x\sin^2x-\cos^2x\cos^2x}{\cos^2x\sin^2x}}\)
\(\LARGE\color{black}{ \frac{\sin^2x(1-\cos^2x)-\cos^2x(1-\sin^2x)}{\cos^2x\sin^2x}}\) \(\LARGE\color{black}{ \frac{\sin^2x-\sin^2x\cos^2x~~-~~\cos^2x-\sin^2x\cos^2x}{\cos^2x\sin^2x}}\)
\(\LARGE\color{black}{ \frac{\sin^2x-2\sin^2x\cos^2x-\cos^2x}{\cos^2x\sin^2x}}\)
\(\LARGE\color{black}{ \frac{\sin^2x-2\sin^2x\cos^2x-(1-\sin^2x)}{\cos^2x\sin^2x}}\) \(\LARGE\color{black}{ \frac{\sin^2x-2\sin^2x\cos^2x-1+\sin^2x}{\cos^2x\sin^2x}}\)
\(\LARGE\color{black}{ \frac{2\sin^2x-2\sin^2x\cos^2x-1}{\cos^2x\sin^2x}}\)
then just re-write each term.
okay got it thanks :)
just in case, |dw:1417993921823:dw|
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