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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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

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प्रश्न

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

Solution:

1 + tan2 θ = sec2 θ

∴ 1 + tan2 θ = `(25/7)^square`

∴ tan2 θ = `625/49 - square`

= `(625 - 49)/49`

= `square/49`

∴ tan θ = `square/7` ........(by taking square roots)

बेरीज

उत्तर

1 + tan2 θ = sec2 θ

∴ 1 + tan2 θ = `(25/7)^2`

∴ tan2 θ = `625/49 - 1`

= `(625 - 49)/49`

= `576/49`

∴ tan θ = `24/7` ........(by taking square roots)

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