If sin ⁡ ( P ) = 1 6 \sin\left(P\right)=\frac16 and cos ⁡ ( P ) = 35 6 \cos\left(P\right)=\frac{\sqrt{35}}{6} , find cot ⁡ ( P ) \cot\left(P\right) using trigonometric identities.

cot ⁡ ( P ) = 35 \cot\left(P\right)=\sqrt{35}

cot ⁡ ( P ) = 6 \cot\left(P\right)=6

cot ⁡ ( P ) = 1 35 \cot\left(P\right)=\frac{1}{\sqrt{35}}

cot ⁡ ( P ) = 6 35 \cot\left(P\right)=\frac{6}{\sqrt{35}}

Trigonometric Identities

0. Functions / Trigonometric Identities / Problem 1

Problem 1

If $\sin (P) = \frac{1}{6}$ and $\cos (P) = \frac{\sqrt{35}}{6}$ , find $\cot (P)$ using trigonometric identities.

$cotangent P equals 6$

$\cot (P) = \frac{1}{\sqrt{35}}$

$\cot (P) = \sqrt{35}$

$\cot (P) = \frac{6}{\sqrt{35}}$