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Which is greater, tan 1 or tan–11? - Mathematics

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प्रश्न

Which is greater, tan 1 or tan–11?

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उत्तर


From Fig. 2.1, we note that tan x is an increasing function in the interval `((-pi)/2, pi/2)`

Since `1 > pi/4`

⇒ `tan 1 > an  p/4`.

This gives an 1 > 1

⇒ `tan 1 > 1 > pi/4`

⇒ tan 1 > 1 > tan–1(1).

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पाठ 2: Inverse Trigonometric Functions - Solved Examples [पृष्ठ २५]

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पाठ 2 Inverse Trigonometric Functions
Solved Examples | Q 15 | पृष्ठ २५
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