What is the general solution for -sec(x)+sqrt(2)sec(x)cos(x)=0 ?

The general solution for -sec(x)+sqrt(2)sec(x)cos(x)=0 is x= pi/4+2pin,x=(7pi)/4+2pin

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-sec(x)+sqrt(2)sec(x)cos(x)=0

- sec (x) + 2 sec (x) cos (x) = 0

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

- sec (x) + 2 sec (x) cos (x) = 0

Rewrite using trig identities

- sec (x) + 2 \cdot 1 = 0

Multiply:

2 \cdot 1 = 2

- sec (x) + 2 = 0

Move

2

to the right side

- sec (x) = - 2

Divide both sides by

- 1

sec (x) = 2

General solutions for

sec (x) = 2

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

2 tan (x) - 3 sin (x) = 0

sin (x) + 5 = 4

- 9 cos (x) = 0

- 3 cos (x) = 0

4 cot (x) + 2 = 6

What is the general solution for -sec(x)+sqrt(2)sec(x)cos(x)=0 ?
The general solution for -sec(x)+sqrt(2)sec(x)cos(x)=0 is x= pi/4+2pin,x=(7pi)/4+2pin