#### Question

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

The value of tan A is always less than 1.

#### Solution

Consider a ΔABC, right-angled at B.

`tan A = ("Side opposite to"angle A)/("Side adjacent to"angleA)`

= 12/5

But 12/5 > 1

∴tan A > 1

So, tan A < 1 is not always true.

Hence, the given statement is false.

Is there an error in this question or solution?

#### APPEARS IN

Solution State whether the following are true or false. Justify your answer. The value of tan A is always less than 1. Concept: Trigonometric Ratios.