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If sec θ + tan θ = 3, then the value of sec θ is:1. 3 / 52. 5 / 33. 3 / 44. 4 / 3 |
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Answer» Correct Answer - Option 2 : 5 / 3 Given: sec θ + tan θ = 3 Concept used: sec θ + tan θ = x sec θ - tan θ = 1/x Calculations: ⇒ sec θ + tan θ = 3 ------(1) ⇒ sec θ + tan θ = 1/3 ------(2) By adding equation (1) and (2) ⇒ 2secθ = 3 + 1/3 ⇒ 2secθ = 10/3 ⇒ secθ = 5/3 ∴ The value of secθ is 5/3. |
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