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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. - 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.

  Is there an error in this question or solution?
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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 8: Introduction to Trigonometry
Ex. 8.1 | Q: 11.1 | Page no. 181
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 10: Trigonometric Ratios
Ex. 10.1 | Q: 36.1 | Page no. 26
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 10: Trigonometric Ratios
Ex. 10.1 | Q: 36.1 | Page no. 26
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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. Concept: Trigonometric Ratios.
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