What is the general solution for sin(8x+48)=cos(-4x+26) ?

The general solution for sin(8x+48)=cos(-4x+26) is x=(4pin+pi-148)/8 ,x=(pi+4pin-44)/(24)

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sin(8x+48)=cos(-4x+26)

sin (8 x + 48) = cos (- 4 x + 26)

x = \frac{4 πn + π - 148}{8}, x = \frac{π + 4 πn - 44}{24}

Solution steps

sin (8 x + 48) = cos (- 4 x + 26)

Rewrite using trig identities

sin (8 x + 48) = sin (\frac{π}{2} - (- 4 x + 26))

Apply trig inverse properties

8 x + 48 = \frac{π}{2} - (- 4 x + 26) + 2 πn, 8 x + 48 = π - (\frac{π}{2} - (- 4 x + 26)) + 2 πn

8 x + 48 = \frac{π}{2} - (- 4 x + 26) + 2 πn : x = \frac{4 πn + π - 148}{8}

8 x + 48 = π - (\frac{π}{2} - (- 4 x + 26)) + 2 πn : x = \frac{π + 4 πn - 44}{24}

x = \frac{4 πn + π - 148}{8}, x = \frac{π + 4 πn - 44}{24}

3 cos (x) + sec (14 5^{\circ}) = 1

sec^{2} (x) + 3 tan^{2} (x) = 13

1609.3 = \frac{1.13 3 ^{2}}{( 9.8 ) tan ( θ )}

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

cos (x) = (\frac{- 3}{4})

What is the general solution for sin(8x+48)=cos(-4x+26) ?
The general solution for sin(8x+48)=cos(-4x+26) is x=(4pin+pi-148)/8 ,x=(pi+4pin-44)/(24)