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Mathematics 11 Online
OpenStudy (braves12):

help please

OpenStudy (braves12):

\[\frac{ \sin^2\Theta }{\cos \Theta } \]

OpenStudy (speedsterpro):

What do you need help with

OpenStudy (braves12):

@GIitter

OpenStudy (braves12):

@Speedsterpro i need help simplify that

zepdrix (zepdrix):

Recall your basic Pythagorean Identity,\[\large\rm \sin^2\theta+\cos^2\theta=1\]Subtracting cosine squared gives us this,\[\large\rm \color{orangered}{\sin^2\theta=1-\cos^2\theta}\]Do you see how we can apply this identity to our problem?\[\large\rm \frac{\color{orangered}{\sin^2\theta}}{\cos \theta}=\quad ?\]

OpenStudy (braves12):

no

zepdrix (zepdrix):

Really? 0_o But but... I color-coded it :c lol

OpenStudy (braves12):

oh

zepdrix (zepdrix):

\[\large\rm \frac{\color{orangered}{\sin^2\theta}}{\cos \theta}=\quad \frac{\color{orangered}{1-\cos^2\theta}}{\cos \theta}\]ya?

OpenStudy (braves12):

yea

zepdrix (zepdrix):

Then split it into two fractions,\[\large\rm =\frac{1}{\cos \theta}-\frac{\cos^2\theta}{\cos \theta}\]

OpenStudy (braves12):

ok

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