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CUET
General Test
Quantitative Reasoning
Trigonometry
If sec θ + tanθ = 5, then what is the value of secθ - tan θ ?
1/5
1/3
1/6
1/2
We know that sec² θ - tan² θ = 1
⇒ (sec θ - tan θ)(sec θ + tan θ) = 1
⇒ (sec θ - tan θ)(5) = 1
⇒ (sec θ - tan θ) = $\frac{1}{5}$