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

If Cosθ = 5 13 , Then Find Sinθ. - Geometry Mathematics 2

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प्रश्न

If cosθ = `5/13`, then find sinθ. 

बेरीज

उत्तर

cosθ = `5/13`

`sin^2θ + cos^2θ = 1`

`sin^2θ + (5/13)^2 = 1`

`sin^2θ = (1 - 25)/169`

`sin^2θ = (169 - 25)/169`

`sin^2θ = 144/169`

sinθ = `sqrt(144/169)`

sinθ = `12/13`

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