What is the general solution for sin(x)=(3.1)/(4.5) ?

The general solution for sin(x)=(3.1)/(4.5) is x=0.75995…+2pin,x=pi-0.75995…+2pin

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sin(x)=(3.1)/(4.5)

sin (x) = \frac{3.1}{4.5}

x = 0.75995 \dots + 2 πn, x = π - 0.75995 \dots + 2 πn

Degrees

x = 43.54221 \dots^{\circ} + 36 0^{\circ} n, x = 136.45778 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{3.1}{4.5}

Apply trig inverse properties

sin (x) = \frac{3.1}{4.5}

General solutions for

sin (x) = \frac{3.1}{4.5}

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

x = arcsin (\frac{3.1}{4.5}) + 2 πn, x = π - arcsin (\frac{3.1}{4.5}) + 2 πn

x = arcsin (\frac{3.1}{4.5}) + 2 πn, x = π - arcsin (\frac{3.1}{4.5}) + 2 πn

Show solutions in decimal form

x = 0.75995 \dots + 2 πn, x = π - 0.75995 \dots + 2 πn

4 (cot (x) - 3) = cot (x) - 3

5 sec (x) = 2 sec (x) + 7

sin (x) = (\frac{5}{9})

cos (θ) = \frac{2}{2}, sin (θ) = - \frac{2}{2}

cos (θ) = \frac{198.36}{229.4}

What is the general solution for sin(x)=(3.1)/(4.5) ?
The general solution for sin(x)=(3.1)/(4.5) is x=0.75995…+2pin,x=pi-0.75995…+2pin