Hello,when I have to solve a trigonometric problem I can easily

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Hello,
when I have to solve a trigonometric problem I can easily figure in my mind sin and cos, but how can I figure tan ?
 
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Since tangent is defined as "sine divided by cosine" if you can "figure" sine and cosine, you should be able to "figure" tangent. However, I don't know what you mean by "figure" here. Surely you don't mean "calculate the value of sin(x) and cos(x) for arbitrary x". There is NO simple way to do that.
 

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