What is the general solution for sin(x)=((sqrt(6))/4) ?

The general solution for sin(x)=((sqrt(6))/4) is x=0.65905…+2pin,x=pi-0.65905…+2pin

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sin(x)=((sqrt(6))/4)

sin (x) = (\frac{6}{4})

x = 0.65905 \dots + 2 πn, x = π - 0.65905 \dots + 2 πn

Degrees

x = 37.76124 \dots^{\circ} + 36 0^{\circ} n, x = 142.23875 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = (\frac{6}{4})

Apply trig inverse properties

sin (x) = \frac{6}{4}

General solutions for

sin (x) = \frac{6}{4}

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

x = arcsin (\frac{6}{4}) + 2 πn, x = π - arcsin (\frac{6}{4}) + 2 πn

x = arcsin (\frac{6}{4}) + 2 πn, x = π - arcsin (\frac{6}{4}) + 2 πn

Show solutions in decimal form

x = 0.65905 \dots + 2 πn, x = π - 0.65905 \dots + 2 πn

3 \cdot sin (x) + cos (x) = 3

sin (θ) = \frac{5}{5}

2 sin (x) \cdot cos (x) - cos^{2} (x) = 0

sin^{2} (x) - 3 sin (x) = 1

tan (θ) = \frac{12}{19}

What is the general solution for sin(x)=((sqrt(6))/4) ?
The general solution for sin(x)=((sqrt(6))/4) is x=0.65905…+2pin,x=pi-0.65905…+2pin