If sec θ = , show that = 3.

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KnowledgeBoat · Accepted Answer

sec θ = Let hypotenuse = 13x and base = 5x We will find perpendicular by using pythagoras theorem Hypotenuse2 = Base2 + Perpendicular2 Perpendicular2 = Hypotenuse2 - Base2 Perpendicular2 = (13x)2 - (5x)2 Perpendicular2 = 169x2 - 25x2 Perpendicular2 = 144x2 Perpendicular = Perpendicular = 12x Now sin θ = cos θ = Substituting values we get : Hence, proved that .

Mathematics

If sec θ = , show that = 3.

Trigonometrical Ratios

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