If $\tan (\theta )=1$, find the value of $\theta$ where $0^{\circ }<\theta <90^{\circ }$.

Solution

1. We are given the equation $\tan (\theta )=1$.
2. Recall the standard trigonometric values where $\tan (45^{\circ })=1$.
3. Since $0^{\circ }<45^{\circ }<90^{\circ }$, the value is valid.
4. Hence the answer is (B).