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Solution for State whether the following are true or false. Justify your answer. The value of tan A is always less than 1. - CBSE Class 10 - Mathematics

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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.

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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.
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