If sin ⁡ ( P ) = 1 6 \sin\left(P\right)=\frac16 sin ( P ) = 6 1 and cos ⁡ ( P ) = 35 6 \cos\left(P\right)=\frac{\sqrt{35}}{6} cos ( P ) = 6 35 <path d="M95,702 c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14 c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54 c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10 s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429 c69,-144,104.5,-217.7,106.5,-221 l0 -0 c5.3,-9.3,12,-14,20,-14 H400000v40H845.2724 s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7 c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z M834 80h400000v40h-400000z"> , find cot ⁡ ( P ) \cot\left(P\right) cot ( P ) using trigonometric identities.

cot ⁡ ( P ) = 35 \cot\left(P\right)=\sqrt{35} cot ( P ) = 35 <path d="M95,702 c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14 c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54 c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10 s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429 c69,-144,104.5,-217.7,106.5,-221 l0 -0 c5.3,-9.3,12,-14,20,-14 H400000v40H845.2724 s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7 c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z M834 80h400000v40h-400000z">

cot ⁡ ( P ) = 6 \cot\left(P\right)=6 cot ( P ) = 6

cot ⁡ ( P ) = 1 35 \cot\left(P\right)=\frac{1}{\sqrt{35}} cot ( P ) = 35 <path d="M95,702 c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14 c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54 c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10 s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429 c69,-144,104.5,-217.7,106.5,-221 l0 -0 c5.3,-9.3,12,-14,20,-14 H400000v40H845.2724 s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7 c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z M834 80h400000v40h-400000z"> 1

cot ⁡ ( P ) = 6 35 \cot\left(P\right)=\frac{6}{\sqrt{35}} cot ( P ) = 35 <path d="M95,702 c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14 c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54 c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10 s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429 c69,-144,104.5,-217.7,106.5,-221 l0 -0 c5.3,-9.3,12,-14,20,-14 H400000v40H845.2724 s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7 c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z M834 80h400000v40h-400000z"> 6

Trigonometric Identities

0. Functions / Trigonometric Identities / Problem 1

Problem 1

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

$\cot\left(P\right)=6$

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

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

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

Learn this concept

If sin(P)=16\sin\left(P\right)=\frac16sin(P)=61 and cos(P)=356\cos\left(P\right)=\frac{\sqrt{35}}{6}cos(P)=635, find cot(P)\cot\left(P\right)cot(P) using trigonometric identities.

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