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If sec θ = 257, then find the value of tan θ. - Geometry Mathematics 2

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प्रश्न

If sec θ = `25/7`, then find the value of tan θ.

योग

उत्तर

∵ sec2θ – tan2θ = 1   ......[Identities]

`(25/7)^2 - ("tan"  theta)^2 = 1`

`625/49 -1 = ("tan"  theta)^2`

`(625 - 49)/49 = ("tan"  theta)^2`

`576/49 = ("tan"  theta)^2`

`"tan"  theta = 24/7`  

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2018-2019 (March) Set 1

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