Find the exact value of the trigonometric function. sec 7pi divided by 4

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#1

find the exact value of the trigonometric function. sec 7pi divided by 4

Answer:

If you convert 7π/4 to degrees you get 315° : (7π/4)*(180/π)=315°

➜ 315° makes a 45° angle in the fourth quadrant.
➜ sec(x)=1/cos(x)
➜ cos(45°)= (√2)/2 (it doesn’t change whether or not it is in fourth quad)

Therefore: sec(315°)=1/((√2)/2)= √2