Question

If $\tan \theta = 1$, then $\theta = $:

• A. 30°
• B. 45°
• C. 60°
• D. 90°

Hint:

At 45°, $\sin\theta$ and $\cos\theta$ are also equal ($1/\sqrt{2}$), which is why their ratio ($\tan\theta$) becomes 1.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
We refer to the standard trigonometric table for values of circular functions at specific angles.
Step 2: Detailed Explanation:
The ratio $\tan\theta$ is defined as $\frac{\text{Opposite}}{\text{Adjacent}}$. For an angle of 45°, the opposite and adjacent sides of a right triangle are equal, making the ratio $1/1 = 1$. Therefore, $\tan 45^\circ = 1$.
Step 3: Final Answer:
The value of $\theta$ is 45°.