What is the general solution for 1.333*sin(48)=sin(x) ?

The general solution for 1.333*sin(48)=sin(x) is x=1.43366…+360n,x=180-1.43366…+360n

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1.333*sin(48)=sin(x)

1.333 \cdot sin (4 8^{\circ}) = sin (x)

x = 1.43366 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.43366 \dots + 36 0^{\circ} n

Radians

x = 1.43366 \dots + 2 πn, x = π - 1.43366 \dots + 2 πn

Solution steps

1.333 sin (4 8^{\circ}) = sin (x)

Switch sides

sin (x) = 1.333 sin (4 8^{\circ})

Apply trig inverse properties

sin (x) = 1.333 sin (4 8^{\circ})

General solutions for

sin (x) = 1.333 sin (4 8^{\circ})

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (1.333 sin (4 8^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (1.333 sin (4 8^{\circ})) + 36 0^{\circ} n

x = arcsin (1.333 sin (4 8^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (1.333 sin (4 8^{\circ})) + 36 0^{\circ} n

Show solutions in decimal form

x = 1.43366 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.43366 \dots + 36 0^{\circ} n

x, y = cos (x^{2})

2 sin (θ) = 2 + 2 cos (θ)

tan (x) = \frac{1.3823}{10.1}

sec^{2} (x) + 0.5 sec (x) = 0

3 \cdot sin^{2} (x) - 7 \cdot sin (x) + 2 = 0

What is the general solution for 1.333*sin(48)=sin(x) ?
The general solution for 1.333*sin(48)=sin(x) is x=1.43366…+360n,x=180-1.43366…+360n