What is the general solution for sin(30)=cos(x) ?

The general solution for sin(30)=cos(x) is x=60+360n,x=300+360n

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sin(30)=cos(x)

sin (3 0^{\circ}) = cos (x)

x = 6 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

Solution steps

sin (3 0^{\circ}) = cos (x)

sin (3 0^{\circ}) = \frac{1}{2}

\frac{1}{2} = cos (x)

Switch sides

cos (x) = \frac{1}{2}

General solutions for

cos (x) = \frac{1}{2}

x = 6 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

cos (9 x) (2 cos (x) + 1) = 0

cos (2 x - \frac{π}{4}) = 0, 0 \leq x \leq 2 π

8 - sin (θ) = cos (2 θ)

x, 2 cos^{2} (x) - cos (x) - 1 = 0

- 8 cos (- 4 θ + 150) = 43

What is the general solution for sin(30)=cos(x) ?
The general solution for sin(30)=cos(x) is x=60+360n,x=300+360n