What is the general solution for sin(5x+50)=cos(4x-23) ?

The general solution for sin(5x+50)=cos(4x-23) is x=(4pin+pi-54)/(18),x=2pin+pi-73-pi/2

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sin(5x+50)=cos(4x-23)

sin (5 x + 50) = cos (4 x - 23)

x = \frac{4 πn + π - 54}{18}, x = 2 πn + π - 73 - \frac{π}{2}

Solution steps

sin (5 x + 50) = cos (4 x - 23)

Rewrite using trig identities

sin (5 x + 50) = sin (\frac{π}{2} - (4 x - 23))

Apply trig inverse properties

5 x + 50 = \frac{π}{2} - (4 x - 23) + 2 πn, 5 x + 50 = π - (\frac{π}{2} - (4 x - 23)) + 2 πn

5 x + 50 = \frac{π}{2} - (4 x - 23) + 2 πn : x = \frac{4 πn + π - 54}{18}

5 x + 50 = π - (\frac{π}{2} - (4 x - 23)) + 2 πn : x = 2 πn + π - 73 - \frac{π}{2}

x = \frac{4 πn + π - 54}{18}, x = 2 πn + π - 73 - \frac{π}{2}

tan (x) = 1.2

tan (x) = 0.9

x, sin (x) + cos (x) = 0

6 sin (x) = 3

4 csc (x) + 5 = 0

What is the general solution for sin(5x+50)=cos(4x-23) ?
The general solution for sin(5x+50)=cos(4x-23) is x=(4pin+pi-54)/(18),x=2pin+pi-73-pi/2