Question

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Here's your question,



✴️ The value of tanA is always less than 1. ✴️


True or False? Justify your answer properly.



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Answer 1

FALSE....
No the value of the trigonometric ratio TanA lies from
Negative infinity to positive Infinity.....

The Range of tan varies from...
...minus infinity to positive Infinity. ...

Answer 2

Answer : False. The value of tanA is not always less than 1.

Explanation
Let ABC be a right angled triangle, where AC is hypotenuse, AB is opposite side, and BC is an adjacent angle.

$tan \: A = \frac{side \: opposite \: A }{side \: adjacent \: A } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{BC}{AB}$

Assuming BC > AB

For example
Let AB = 10 cm and BC = 15 cm
Hence $tan \: A \: = \frac{BC}{ AB } = \frac{15}{10} = 1.5$

Since, tan A = 1.5
Therefore, tan A can be greater that one