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You use the Pythagorian Theorum, a2 + b2 = c2, where c is the length of the hypotenuse.

If a2 + b2 = c2 then a2 = c2 - b2.

Let's say that b is the side opposite Θ. Since sinΘ = b/c, a2 = 5 - 4 = 1, so a = 1.

Since tanΘ = b/a, tanΘ = 2.

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Q: How do you find tan theta when sin theta equals 2 over square root 5?
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