Question

If θ is an angle in standard position and its terminal side passes through the point (5,6), find the exact value of

cot

Answer 1

cot(θ) = 5/6

Explanation:

The mnemonic SOH CAH TOA reminds you the tangent relationship is ...

Tan = Opposite/Adjacent

The cotangent function is the inverse of the tangent function, so ...

Cot = Adjacent/Opposite

For your angle, the adjacent side of the triangle is the x coordinate, 5; the opposite side is the y coordinate; 6. Then the cotangent is ...

cot(θ) = 5/6