What is the general solution for sin(x)=cos(32) ?

The general solution for sin(x)=cos(32) is x=360n+58,x=180-58+360n

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sin(x)=cos(32)

sin (x) = cos (3 2^{\circ})

x = 36 0^{\circ} n + 5 8^{\circ}, x = 18 0^{\circ} - 5 8^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = cos (3 2^{\circ})

Rewrite using trig identities

sin (x) = sin (9 0^{\circ} - 3 2^{\circ})

Apply trig inverse properties

x = 9 0^{\circ} - 3 2^{\circ} + 36 0^{\circ} n, x = 18 0^{\circ} - (9 0^{\circ} - 3 2^{\circ}) + 36 0^{\circ} n

x = 9 0^{\circ} - 3 2^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 5 8^{\circ}

x = 18 0^{\circ} - (9 0^{\circ} - 3 2^{\circ}) + 36 0^{\circ} n : x = 18 0^{\circ} - 5 8^{\circ} + 36 0^{\circ} n

x = 36 0^{\circ} n + 5 8^{\circ}, x = 18 0^{\circ} - 5 8^{\circ} + 36 0^{\circ} n

0.17 cos (a) (0.3) + 0.33 = 0.16

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

x, y = cos (4 x)

tan^{4} (x) - 2 tan^{2} (x) - 1 = 0

- 0.002 = sin (2 π \cdot (3) - 500 π (0) + x)

What is the general solution for sin(x)=cos(32) ?
The general solution for sin(x)=cos(32) is x=360n+58,x=180-58+360n