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Using the figure of the $45^\circ$-$45^\circ$ right triangle, what is the value of $\tan 45^\circ$? 
A$\frac{1}{\sqrt{2}}$
B$1$
C$\sqrt{2}$
D$\frac{1}{2}$
Answer & Solution
Correct answer: B. $1$
In a right triangle with angles $45^\circ,45^\circ,90^\circ$, the two legs are equal. Therefore, $\tan 45^\circ=\frac{\text{opposite}}{\text{adjacent}}=\frac{a}{a}=1$.
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