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Maharashtra State BoardSSC (English Medium) 10th Standard

If sec θ = 257, then find the value of tan θ.

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Question

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

Sum
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Solution

∵ 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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