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If Cosθ = 5 13 , Then Find Sinθ.

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प्रश्न

If cosθ = `5/13`, then find sinθ. 

योग
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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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2018-2019 (July) Set 1

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