What is the general solution for cos(57)=sin(x) ?

The general solution for cos(57)=sin(x) is x=360n+33,x=180-33+360n

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cos(57)=sin(x)

cos (5 7^{\circ}) = sin (x)

x = 36 0^{\circ} n + 3 3^{\circ}, x = 18 0^{\circ} - 3 3^{\circ} + 36 0^{\circ} n

Solution steps

cos (5 7^{\circ}) = sin (x)

Switch sides

sin (x) = cos (5 7^{\circ})

Rewrite using trig identities

sin (x) = sin (9 0^{\circ} - 5 7^{\circ})

Apply trig inverse properties

x = 9 0^{\circ} - 5 7^{\circ} + 36 0^{\circ} n, x = 18 0^{\circ} - (9 0^{\circ} - 5 7^{\circ}) + 36 0^{\circ} n

x = 9 0^{\circ} - 5 7^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 3 3^{\circ}

x = 18 0^{\circ} - (9 0^{\circ} - 5 7^{\circ}) + 36 0^{\circ} n : x = 18 0^{\circ} - 3 3^{\circ} + 36 0^{\circ} n

x = 36 0^{\circ} n + 3 3^{\circ}, x = 18 0^{\circ} - 3 3^{\circ} + 36 0^{\circ} n

3 cos (x) = 2 - cos (x)

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

x, z = y^{s i n (x)}

t, 10 = 14 + 8 sin (\frac{π t}{12})

cos (4 x) cos (x - 1) = 0

What is the general solution for cos(57)=sin(x) ?
The general solution for cos(57)=sin(x) is x=360n+33,x=180-33+360n