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

## Question :

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

(i)  The value of tan A is always less than 1.

(ii)  sec A = $$12\over 5$$ for some values 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)  $$sin \theta$$ = $$4\over 3$$ for some angle $$\theta$$.

## Solution :

(i)  False because the sides of a right triangle may have any length, so tan A may have any value.

(ii)  True as sec A is always greater than or equal to 1.

(iii)  False as cos A is the abbreviation used for cosine A.

(iv)  False as cot A is not the product of cot and A.

(v) False as $$sin \theta$$ cannot be greater than 1.