Given that tan θ = 5/12 and θ is an acute angle, find sin θ and cos θ.

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KnowledgeBoat · Accepted Answer

By formula, sec² θ = 1 + tan² θ Substituting values we get, Since, θ is an acute angle and value of sec is positive in first quadrant. ∴ sec θ = . By formula, cos θ = sin² θ + cos² θ = 1 Substituting values we get, Since, θ is an acute angle and value of sin is positive in first quadrant. ∴ sin θ = . Hence, sin θ = and cos θ = .

Mathematics

Given that tan θ = 5/12 and θ is an acute angle, find sin θ and cos θ.

Trigonometrical Ratios

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