What is the general solution for sin(x)=(6.1)/(9.9) ?

The general solution for sin(x)=(6.1)/(9.9) is x=0.66385…+2pin,x=pi-0.66385…+2pin

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sin(x)=(6.1)/(9.9)

sin (x) = \frac{6.1}{9.9}

x = 0.66385 \dots + 2 πn, x = π - 0.66385 \dots + 2 πn

Degrees

x = 38.03637 \dots^{\circ} + 36 0^{\circ} n, x = 141.96362 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{6.1}{9.9}

Apply trig inverse properties

sin (x) = \frac{6.1}{9.9}

General solutions for

sin (x) = \frac{6.1}{9.9}

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

x = arcsin (\frac{6.1}{9.9}) + 2 πn, x = π - arcsin (\frac{6.1}{9.9}) + 2 πn

x = arcsin (\frac{6.1}{9.9}) + 2 πn, x = π - arcsin (\frac{6.1}{9.9}) + 2 πn

Show solutions in decimal form

x = 0.66385 \dots + 2 πn, x = π - 0.66385 \dots + 2 πn

sech (x) = 0

sin^{2} (x) - cos^{2} (x) = 0, (0, 2 π)

tan (α) = - 0.9857

8 sin^{2} (x) = 8 - 4 cos (x)

sec^{2} (θ) = 9

What is the general solution for sin(x)=(6.1)/(9.9) ?
The general solution for sin(x)=(6.1)/(9.9) is x=0.66385…+2pin,x=pi-0.66385…+2pin