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Find the value of sec(tan-1 y2) - Mathematics

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प्रश्न

Find the value of `sec(tan^-1  y/2)`

योग

उत्तर

Let `tan^-1  y/2` = θ

Where `theta ∈ (- pi/2, pi/2)`

So tan θ = `y/2`

Which gives sec θ = `sqrt(4 + y^2)/2`

Therefore, `sec(tan^-1  y/2)` = sec θ = `sqrt(4 + y^2)/2`.

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अध्याय 2: Inverse Trigonometric Functions - Solved Examples [पृष्ठ २२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Solved Examples | Q 9 | पृष्ठ २२

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