graph sketching

How to sketch the graph of $\displaystyle \sin x -3 \cos x$

i know i can do this : $\displaystyle \sin x -3 \cos x = \sqrt{10} \sin({\color{red}x - 71.6})$

How can i sketch this when the one in red is not $\displaystyle \theta $or $\displaystyle 2 \theta$


Thanks .

Quote:

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Originally Posted by thereddevils

How to sketch the graph of $\displaystyle \sin x -3 \cos x$

i know i can do this : $\displaystyle \sin x -3 \cos x = \sqrt{10} \sin({\color{red}x - 71.6})$

How can i sketch this when the one in red is not $\displaystyle \theta $or $\displaystyle 2 \theta$


Thanks .

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Sketch the graph of $\displaystyle y = \sqrt{10} \sin({\color{red}x})$. Then translate the graph by 71.6 units to the right.

Quote:

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Originally Posted by mr fantastic

Sketch the graph of $\displaystyle y = \sqrt{10} \sin({\color{red}x})$. Then translate the graph by 71.6 units to the right.

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Thanks . Can u recommend me a useful online graphing software ?