sec 7pi/4 without a calculator

Find the exact answer

1 answer

sec 7pi/4
= 1/cos(7π/4)
7π/4 is in quad IV, where the cosine is positive
7π/4 is π/4 away from the x-axis
so cos7π/4) = 1/√2

so sec 7π/4 = √2
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