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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

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

NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 8: Introduction to Trigonometry
Ex.8.10 | Q: 11.1 | Page no. 181
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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