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Mathematics

State for any acute angle θ whether :

tan θ increases or decreases as θ decreases.

Trigonometric Identities

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Answer

tan θ decreases as θ decreases.

Reason — As we know,

tan 90° = not defined

tan 60° = 3\sqrt3 = 1.73

tan 45° = 1

tan 30° = 13\dfrac{1}{\sqrt3} = 0.58

tan 0° = 0

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