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If secθ + tanθ = 5, then secθ − tanθ equals:

Competition practiceTrigonometry

A5
B1/5
C−5
D1/25

Step-by-Step Solution

Since se

c^{2}

θ − ta

n^{2}

θ = 1, we get (secθ + tanθ)(secθ − tanθ) = 1, so secθ − tanθ = 1/5.

Answer: B) 1/5

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