What is the general solution for sin(x)=(sqrt(7))/4 ?

The general solution for sin(x)=(sqrt(7))/4 is x=0.72273…+2pin,x=pi-0.72273…+2pin

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sin(x)=(sqrt(7))/4

sin (x) = \frac{7}{4}

x = 0.72273 \dots + 2 πn, x = π - 0.72273 \dots + 2 πn

Degrees

x = 41.40962 \dots^{\circ} + 36 0^{\circ} n, x = 138.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{7}{4}

Apply trig inverse properties

sin (x) = \frac{7}{4}

General solutions for

sin (x) = \frac{7}{4}

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

x = arcsin (\frac{7}{4}) + 2 πn, x = π - arcsin (\frac{7}{4}) + 2 πn

x = arcsin (\frac{7}{4}) + 2 πn, x = π - arcsin (\frac{7}{4}) + 2 πn

Show solutions in decimal form

x = 0.72273 \dots + 2 πn, x = π - 0.72273 \dots + 2 πn

2 tan^{2} (x) + 9 tan (x) + 3 = 0

sin^{2} (x) = (\frac{2 m - 4}{5})

1.25 cos^{2} (θ) + 0.694 cos (θ) - 0.519 = 0

sec (θ) = \frac{13}{12}

6 sin (x) - 3 = 0

What is the general solution for sin(x)=(sqrt(7))/4 ?
The general solution for sin(x)=(sqrt(7))/4 is x=0.72273…+2pin,x=pi-0.72273…+2pin