State whether the following is true or false. Justify your answer.
State whether the following is true or false. Justify your answer.

(i) cot A is not defined for A = 0°.

Solution:

(i) Answer: True.

As we all know that, the cot function is that the reciprocal of the tan function, so it can even be written as:

cot A = cos A/sin A

Now by substituting A = 0°

cot 0° = cos 0°/sin 0° = 1/0 = the value is undefined.

As a result the above statement is true.