What is the general solution for sin(x)= 6/11 ?

The general solution for sin(x)= 6/11 is x=0.57693…+2pin,x=pi-0.57693…+2pin

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sin(x)= 6/11

sin (x) = \frac{6}{11}

x = 0.57693 \dots + 2 πn, x = π - 0.57693 \dots + 2 πn

Degrees

x = 33.05573 \dots^{\circ} + 36 0^{\circ} n, x = 146.94426 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{6}{11}

Apply trig inverse properties

sin (x) = \frac{6}{11}

General solutions for

sin (x) = \frac{6}{11}

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

x = arcsin (\frac{6}{11}) + 2 πn, x = π - arcsin (\frac{6}{11}) + 2 πn

x = arcsin (\frac{6}{11}) + 2 πn, x = π - arcsin (\frac{6}{11}) + 2 πn

Show solutions in decimal form

x = 0.57693 \dots + 2 πn, x = π - 0.57693 \dots + 2 πn

2 = cos (x) - sin (x)

sin (2 x) = 0.35

2 cos (t) + sin (2 t) = 0

tan (θ) = cos (θ)

cos (x) = 0.766

What is the general solution for sin(x)= 6/11 ?
The general solution for sin(x)= 6/11 is x=0.57693…+2pin,x=pi-0.57693…+2pin