What is the value of 4sec((3pi)/4)-4sec(-pi/4) ?

The value of 4sec((3pi)/4)-4sec(-pi/4) is -8sqrt(2)

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4sec((3pi)/4)-4sec(-pi/4)

4 sec (\frac{3 π}{4}) - 4 sec (- \frac{π}{4})

- 82

Solution steps

4 sec (\frac{3 π}{4}) - 4 sec (- \frac{π}{4})

Use the following trivial identity:

sec (\frac{3 π}{4}) = - 2

Rewrite using trig identities:

sec (- \frac{π}{4}) = 2

= 4 (- 2) - 42

Simplify

= - 82

- 4 cos (6 0^{\circ})

42 cos (3 0^{\circ})

- 10 cos (3 0^{\circ})

arcsin (\frac{3}{3 2})

π (5) (170) (sin (2.8))

What is the value of 4sec((3pi)/4)-4sec(-pi/4) ?
The value of 4sec((3pi)/4)-4sec(-pi/4) is -8sqrt(2)