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Trigonometric Identities is considered one of the most asked concept.
29 Questions around this concept.
If then for all real
For $\alpha, \beta \in(0, \pi / 2)$, let $3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)$ and a real number $\mathrm{k}$ be such that $\tan \alpha=\mathrm{k} \tan \beta$. Then, the value of $\mathrm{k}$ is equal to
Trigonometric Identities
These identities are the equations that hold true regardless of the angle being chosen.
$
\begin{aligned}
& \sin ^2 t+\cos ^2 t=1 \\
& 1+\tan ^2 t=\sec ^2 t \\
& 1+\cot ^2 t=\csc ^2 t \\
& \tan t=\frac{\sin t}{\cos t}, \quad \cot t=\frac{\cos t}{\sin t}
\end{aligned}
$
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