Question

find the value of \\(\frac{\sin 45^\circ}{\cos 45^\circ}\\). \\(\bigcirc\\) 1 \\(\bigcirc\\) 2 \\(\bigcirc\\) 3 \\(\bigcirc\\) 4

Explanation:

Step1: Recall trigonometric identity

We know that \(\frac{\sin\theta}{\cos\theta}=\tan\theta\). So, for \(\theta = 45^{\circ}\), we have \(\frac{\sin45^{\circ}}{\cos45^{\circ}}=\tan45^{\circ}\).

Step2: Find the value of \(\tan45^{\circ}\)

From the trigonometric values of special angles, we know that \(\tan45^{\circ} = 1\).

Answer:

1