Solve tan tetaa cos tetaa = sin tetaa
Answer (1)
21st Apr, 2026
Hi!
Can you please elaborate on the exact question?
We know that
$\tan\theta = \frac{\sin\theta}{\cos\theta}$
Substituting:
$\frac{\sin\theta}{\cos\theta} \cdot \cos\theta = \sin\theta$
$\sin\theta = \sin\theta$
This is true for all values of $\theta$ where $\tan\theta$ is defined, that is when
$\cos\theta \neq 0$
So, the solution is:
$\theta \neq \frac{(2n+1)\pi}{2}, \quad n \in \mathbb{Z}$
Hence, the equation is an identity and is true for all such values of $\theta$.
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