Question
If tan θ = 1 then sin θ . cos θ = ?

Answer

$\tan \theta=1 \quad \ldots. . .[\text { Given }]$

$\therefore \theta=45^{\circ} \quad \ldots . .\left[\because \tan 45^{\circ}=1\right]$

$\therefore \sin \theta \cdot \cos \theta=\sin 45^{\circ} \cos 45^{\circ}$

$=\frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{2}}$

$=\frac{1}{2}$

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