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Write ‘True’ or ‘False’ and justify your answer.tanθ increases faster than sinθ as θ increases. |
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Answer» True We know that sinθ increases as θ increases but cosθ decreases as θ increases. We have tan θ = sin θ/cos θ Now as θ increases, sinθ increases but cosθ decreases. Therefore, in case of tanθ, the numerator increases and the denominator decreases. But in case of sinθ which can be seen as sin θ/1, only the numerator increases but the denominator remains fixed at 1. Hence tanθ increases faster than sinθ as θ increases. |
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