The most significant trigonometric identities are listed here. These formulas are typically used when one trig function's values are known and another function's values need to be determined.

1.
$\sin^2\alpha+\cos^2\alpha=1$
Trigonometry
2.
$\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}$
Trigonometry
3.
$\cot\alpha=\dfrac{\cos\alpha}{\sin\alpha}$
Trigonometry
4.
$\tan\alpha\cdot\cot\alpha=1$
Trigonometry
5.
$\tan^2\alpha=\dfrac{1}{\cos^2\alpha}-1$
Trigonometry

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