1.

If sec θ + tan θ = 3, then the value of sec θ is:1. 3 / 52. 5 / 33. 3 / 44. 4 / 3

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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