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

The general solution for -sin(x+5)=0 is x=360n-5,x=180+360n-5

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-sin(x+5)=0

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

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

Radians

x = - \frac{π}{36} + 2 πn, x = π - \frac{π}{36} + 2 πn

Solution steps

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

Divide both sides by

- 1

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

Divide both sides by

- 1

\frac{- sin ( x + 5 ^{\circ} )}{- 1} = \frac{0}{- 1}

Simplify

sin (x + 5^{\circ}) = 0

sin (x + 5^{\circ}) = 0

General solutions for

sin (x + 5^{\circ}) = 0

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

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

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

Solve

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

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

0 + 36 0^{\circ} n = 36 0^{\circ} n

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

Move

5^{\circ}

to the right side

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

Subtract

5^{\circ}

from both sides

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

Simplify

x = 36 0^{\circ} n - 5^{\circ}

x = 36 0^{\circ} n - 5^{\circ}

Solve

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

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

Move

5^{\circ}

to the right side

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

Subtract

5^{\circ}

from both sides

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

Simplify

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

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

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

cos (2 π x) \cdot 2 π + 2 π = 0

x, sin (y) = y cos (x)

4 sin (2 x) - 12 = 0, 0 \leq x \leq 2 π

1 \cdot 1 0^{6} = (400 \cdot cos (θ) + 700)^{2} + (400 \cdot sin (θ))^{2}

sin (x) - 0.5 \cdot cos (x) = 0.768

What is the general solution for -sin(x+5)=0 ?
The general solution for -sin(x+5)=0 is x=360n-5,x=180+360n-5