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If tanθ = \(\frac{24}7\), find that sinθ + cosθ,

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tanθ = \(\frac{24}7\)

⇒ sinθ = \(\frac{24}{25}\)

and cosθ = \(\frac{7}{25}\)

∴ sinθ + cosθ = \(\frac{24}{25}\) + \(\frac{7}{25}\) = \(\frac{31}{25}\)

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