Given sec θ = 13/12 , calculate all other trigonometric ratios.

Question

KnowledgeBoat · Accepted Answer

Let us draw a right angle triangle ABC, with ∠A = θ. We know that, sec θ = Substituting values we get, Let AC = 13k and AB = 12k. In right angle triangle ABC, By pythagoras theorem, ⇒ AC² = AB² + BC² ⇒ (13k)² = (12k)² + BC² ⇒ BC² = 169k² - 144k² ⇒ BC² = 25k² ⇒ BC = = 5k. We know that, ⇒ sin θ = , ⇒ cos θ = ⇒ tan θ = . ⇒ cot θ = ⇒ cosec θ = .

Mathematics

Given sec θ = 13/12 , calculate all other trigonometric ratios.

Trigonometric Identities

Related Questions

Given 15 cot A = 8, find sin A and sec A.

If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.