Question

Find the acute angle A , satisfying the equation sec² A + tan² A = 5/3​

Answer 1

Answer:

30

Step-by-step explanation:

Sol: Given sec2 θ + tan2 θ = 5/3 [sec2 θ - tan2 θ = 1 ]

⇒ sec2 θ + sec2 θ - 1 = 5/3

⇒ 2sec2 θ = 8/3

⇒ Sec2 θ = 4/3

⇒ Sec θ = 2/√3.

⇒ Sec θ = Sec 30°.

∴ θ = 30

Answer 2

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