Question

what is the value of cot 60°=?​

Answer 1

Answer:

The exact value of cot(60) is 1√3 .

The sine of an angle θθ refers to the ratio between the opposite and hypotenuse sides to the angle θθ of a right triangle. Given that

sinθ=asin⁡θ=a

For some number aa, that means that the triangle has opposite side length aa and hypotenuse length 11. The cotangent refers to the ratio between the adjacent and opposite sides, so we must find the lengths of these two sides. We know the length of the side opposite θθ is aa, and by the pythagorean theorem, the length of the adjacent side is 1−a2−−−−−√1−a2. Now we know that our ratio is