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Mathematics

State for any acute angle θ whether :

sin θ increases or decreases as θ increases.

Trigonometric Identities

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Answer

sin θ increases as θ increases

Reason — As we know,

sin 0° = 0

sin 30° = 12\dfrac{1}{2} = 0.5

sin 45° = 12\dfrac{1}{\sqrt2} = 0.70

sin 60° = 32\dfrac{\sqrt3}{2} = 0.87

sin 90° = 1

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