What is the general solution for sec(x+pi/4)=-sqrt(2),-pi<= x<= pi ?

The general solution for sec(x+pi/4)=-sqrt(2),-pi<= x<= pi is x= pi/2 ,x=pi,x=-pi

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sec(x+pi/4)=-sqrt(2),-pi<= x<= pi

sec (x + \frac{π}{4}) = - 2, - π \leq x \leq π

x = \frac{π}{2}, x = π, x = - π

Solution steps

sec (x + \frac{π}{4}) = - 2, - π \leq x \leq π

General solutions for

sec (x + \frac{π}{4}) = - 2

x + \frac{π}{4} = \frac{3 π}{4} + 2 πn, x + \frac{π}{4} = \frac{5 π}{4} + 2 πn

Solve

x + \frac{π}{4} = \frac{3 π}{4} + 2 πn : x = 2 πn + \frac{π}{2}

Solve

x + \frac{π}{4} = \frac{5 π}{4} + 2 πn : x = 2 πn + π

x = 2 πn + \frac{π}{2}, x = 2 πn + π

Solutions for the range

- π \leq x \leq π

x = \frac{π}{2}, x = π, x = - π

\frac{56}{( 7.071 \cdot 7.681 )} = cos (θ)

tan (2 x + 1 0^{\circ}) = cot (x - 4 0^{\circ})

6 cos (2 t) = 0

2 cos^{2} (t) - 3 cos (t) = - 1, 0 \leq t \leq 2 π

4 cos (4 x) = 3

What is the general solution for sec(x+pi/4)=-sqrt(2),-pi<= x<= pi ?
The general solution for sec(x+pi/4)=-sqrt(2),-pi<= x<= pi is x= pi/2 ,x=pi,x=-pi