What is the general solution for sin(x)= 10/18 ?

The general solution for sin(x)= 10/18 is x=0.58903…+2pin,x=pi-0.58903…+2pin

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sin(x)= 10/18

sin (x) = \frac{10}{18}

x = 0.58903 \dots + 2 πn, x = π - 0.58903 \dots + 2 πn

Solution steps

sin (x) = \frac{10}{18}

Cancel the common factor:

2

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

Apply trig inverse properties

x = arcsin (\frac{5}{9}) + 2 πn, x = π - arcsin (\frac{5}{9}) + 2 πn

Show solutions in decimal form

x = 0.58903 \dots + 2 πn, x = π - 0.58903 \dots + 2 πn

tan (2 x) = 2 cos (x)

3 sec^{2} (θ) - 2 tan^{2} (θ) - 4 = 0

cos^{2} (x) + 5 sin^{2} (x) = 2

(sin (x))^{(s i n (x))} = \frac{1}{2}

(d^{2} - 4) = cos^{2} (x)

What is the general solution for sin(x)= 10/18 ?
The general solution for sin(x)= 10/18 is x=0.58903…+2pin,x=pi-0.58903…+2pin