What is the general solution for sec(x-pi/7)cos(x-pi/7)=sin(x-pi/7) ?

The general solution for sec(x-pi/7)cos(x-pi/7)=sin(x-pi/7) is No Solution for x\in\mathbb{R}

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sec(x-pi/7)cos(x-pi/7)=sin(x-pi/7)

sec (x - \frac{π}{7}) cos (x - \frac{π}{7}) = sin (x - \frac{π}{7})

No Solution for x \in R

Solution steps

sec (x - \frac{π}{7}) cos (x - \frac{π}{7}) = sin (x - \frac{π}{7})

Rewrite using trig identities

1 = sin (x - \frac{π}{7})

Switch sides

sin (x - \frac{π}{7}) = 1

General solutions for

sin (x - \frac{π}{7}) = 1

x - \frac{π}{7} = \frac{π}{2} + 2 πn

Solve

x - \frac{π}{7} = \frac{π}{2} + 2 πn : x = 2 πn + \frac{9 π}{14}

x = 2 πn + \frac{9 π}{14}

Since the equation is undefined for:

2 πn + \frac{9 π}{14}

No Solution for x \in R

cos (x) = \frac{17}{28}

sec^{4} (x) - 4 sec^{2} (x) = 0

\frac{cos ( x )}{sec ( x )} - \frac{sin ( x )}{csc ( x )} = 1

tan (x) = \frac{12}{35}

4 = sec (θ)

What is the general solution for sec(x-pi/7)cos(x-pi/7)=sin(x-pi/7) ?
The general solution for sec(x-pi/7)cos(x-pi/7)=sin(x-pi/7) is No Solution for x\in\mathbb{R}