Question

The cotangent of an angle in a right-angled triangle is defined as

• A. the ratio between the lengths of the adjacent side of an angle to its hypotenuse
• B. the ratio between the lengths of the adjacent side of an angle to its opposite side.
• C. the ratio between the lengths of the hypotenuse side of an angle to its opposite side.
• D. The ratio between the lengths of the opposite side of an angle to its adjacent side.

Answer 1

The correct option is B

the ratio between the lengths of the adjacent side of an angle to its opposite side.

The cotangent of an angle in a right angle triangle is the ratio between the lengths of the adjacent side of an angle to its opposite side.

In triangle ABC,

cotangent of angle A =$\frac{AB}{BC}$

AB = adjacent side

BC = opposite side,

hence cot A =$\frac{AB}{BC}$