What is the general solution for 19= 1/2*7.9*6.2sin(x) ?

The general solution for 19= 1/2*7.9*6.2sin(x) is x=0.88802…+2pin,x=pi-0.88802…+2pin

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19= 1/27.96.2sin(x)

19 = \frac{1}{2} \cdot 7.9 \cdot 6.2 sin (x)

x = 0.88802 \dots + 2 πn, x = π - 0.88802 \dots + 2 πn

Degrees

x = 50.88005 \dots^{\circ} + 36 0^{\circ} n, x = 129.11994 \dots^{\circ} + 36 0^{\circ} n

Solution steps

19 = \frac{1}{2} \cdot 7.9 \cdot 6.2 sin (x)

Switch sides

\frac{1}{2} \cdot 7.9 \cdot 6.2 sin (x) = 19

Simplify

\frac{1}{2} \cdot 7.9 \cdot 6.2 : \frac{48.98}{2}

\frac{1}{2} \cdot 7.9 \cdot 6.2

Multiply the numbers:

7.9 \cdot 6.2 = 48.98

= 48.98 \cdot \frac{1}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 48.98}{2}

Multiply the numbers:

1 \cdot 48.98 = 48.98

= \frac{48.98}{2}

\frac{48.98}{2} sin (x) = 19

Multiply both sides by

2

\frac{48.98}{2} sin (x) = 19

Multiply both sides by

2

2 \cdot \frac{48.98}{2} sin (x) = 19 \cdot 2

Simplify

48.98 sin (x) = 38

48.98 sin (x) = 38

Divide both sides by

48.98

48.98 sin (x) = 38

Divide both sides by

48.98

\frac{48.98 sin ( x )}{48.98} = \frac{38}{48.98}

Simplify

sin (x) = 0.77582 \dots

sin (x) = 0.77582 \dots

Apply trig inverse properties

sin (x) = 0.77582 \dots

General solutions for

sin (x) = 0.77582 \dots

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (0.77582 \dots) + 2 πn, x = π - arcsin (0.77582 \dots) + 2 πn

x = arcsin (0.77582 \dots) + 2 πn, x = π - arcsin (0.77582 \dots) + 2 πn

Show solutions in decimal form

x = 0.88802 \dots + 2 πn, x = π - 0.88802 \dots + 2 πn

cos (x) = - 0.71

tan (α) = \frac{8}{10}

sin (2 x) + 2 \cdot cos (x) = 0

\frac{6.7}{sin ( 3 3 ^{\circ} )} = \frac{5.4}{sin ( A )}

2 - 3 sin (θ) = 0

What is the general solution for 19= 1/2*7.9*6.2sin(x) ?
The general solution for 19= 1/2*7.9*6.2sin(x) is x=0.88802…+2pin,x=pi-0.88802…+2pin