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 \(\theta\).
(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.