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If secθ – tanθ = 2, then find the value of cosθ 1. 3/52. 5/43. 2/54. 4/5 |
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Answer» Correct Answer - Option 4 : 4/5 Given: Our equation is (secθ – tanθ) = 2 Formula used: sec2θ – tan2θ = 1 Concept used: (secθ – tanθ)(secθ + tanθ) = 1 If (secθ – tanθ) = p, then (secθ + tanθ) = 1/p Calculation: Our given expression is (secθ – tanθ) = 2 ----(1) ⇒ (secθ + tanθ) = ½ ----(2) Adding equation (1) and (2) ⇒ 2secθ = 2 + 1/2 ⇒ secθ = 5/4 ∴ The value of cosθ is 4/5 |
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