# State whether the following are true or false.

Question.

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

(ii) $\sec A=\frac{12}{5}$ 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) $\sin \theta=\frac{4}{3}$ for some angle $\theta$.

Solution:

(i) False.

We know that $60^{\circ}=\sqrt{\mathbf{3}}>\mathbf{1}$.

(ii) True.

We know that value of $\sec A$ is always $\geq 1$.

(iii) False.

Because cos A is abbreviation used for cosine A.

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

(v) False, because value of sin cannot be more than 1.