If 3 tan θ = 4, show that = 3.

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tan θ = Let Perpendicular = 4x and Base = 3x We will find hypotenuse by using pythagoras theorem Hypotenuse2 = Perpendicular2 + Base2 Hypotenuse2 = (4x)2 + (3x)2 Hypotenuse2 = 16x2 + 9x2 Hypotenuse2 = 25x2 Hypotenuse = 5x Now sin θ = cos θ = Substituting values we get : Hence, proved that = 3.

Mathematics

If 3 tan θ = 4, show that = 3.

Trigonometrical Ratios

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