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

(i) The value of tan A is always less than (ii) for some value of angle A.

(iii) cos A is the abbreviation used for the cosecant of angle A.

(iv) cot A is the product of cot and A.

(v) for some angle .

(i) The value of tan 90° is greater than 1. Therefore, given statement is false.

(ii) as 12 is the hypotenuse largest side. Therefore, given statement is true.

(iii) cos A is the abbreviation used for cosine of angle A Therefore, given statement is true.

(iv) cot A is not the product of cot and A. Therefore, given statement is false.

(v) Since, the hypotenuse is the longest side whereas in sin A = , 3 which is the denominator and cannot be hypotenous.