1.

If secθ – tanθ = 2, then find the value of cosθ 1. 3/52. 5/43. 2/54. 4/5

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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