If θ is an acute angle and tan θ = 8/15 , find the value of sec θ + cosec θ.

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Given, tan θ = ..........(1) Let ABC be a right angle triangle with ∠C = θ and ∠B = 90°. By formula, tan θ = .........(2) From (1) and (2) we get, Let AB = 8x and BC = 15x. In right angle triangle ABC, ⇒ AC² = AB² + BC² ⇒ AC² = (8x)² + (15x)² ⇒ AC² = 64x² + 225x² ⇒ AC² = 289x² ⇒ AC = ⇒ AC = 17x. By formula, sec θ = = . cosec θ = = . Substituting value in sec θ + cosec θ we get : Hence, sec θ + cosec θ = .

Mathematics

If θ is an acute angle and tan θ = 8/15 , find the value of sec θ + cosec θ.

Trigonometrical Ratios

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