What is the general solution for sin(5x)-cos(30)=0 ?

The general solution for sin(5x)-cos(30)=0 is x=12+(360n)/5 ,x=24+(360n)/5

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sin(5x)-cos(30)=0

sin (5 x) - cos (3 0^{\circ}) = 0

x = 1 2^{\circ} + \frac{36 0 ^{\circ} n}{5}, x = 2 4^{\circ} + \frac{36 0 ^{\circ} n}{5}

Solution steps

sin (5 x) - cos (3 0^{\circ}) = 0

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

sin (5 x) - \frac{3}{2} = 0

Move

\frac{3}{2}

to the right side

sin (5 x) = \frac{3}{2}

General solutions for

sin (5 x) = \frac{3}{2}

5 x = 6 0^{\circ} + 36 0^{\circ} n, 5 x = 12 0^{\circ} + 36 0^{\circ} n

Solve

5 x = 6 0^{\circ} + 36 0^{\circ} n : x = 1 2^{\circ} + \frac{36 0 ^{\circ} n}{5}

Solve

5 x = 12 0^{\circ} + 36 0^{\circ} n : x = 2 4^{\circ} + \frac{36 0 ^{\circ} n}{5}

x = 1 2^{\circ} + \frac{36 0 ^{\circ} n}{5}, x = 2 4^{\circ} + \frac{36 0 ^{\circ} n}{5}

2 cos^{2} (t) + 2 cos (2 t) = 0

tan^{3} (θ) = tan (θ)

arcsin (2 x) + arcsin (x) = \frac{2 π}{3}

2 sin (4 x) + 8 = 0

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

What is the general solution for sin(5x)-cos(30)=0 ?
The general solution for sin(5x)-cos(30)=0 is x=12+(360n)/5 ,x=24+(360n)/5