What is the general solution for sin(x)=(4.9)/(7.5) ?

The general solution for sin(x)=(4.9)/(7.5) is x=0.71197…+2pin,x=pi-0.71197…+2pin

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sin(x)=(4.9)/(7.5)

sin (x) = \frac{4.9}{7.5}

x = 0.71197 \dots + 2 πn, x = π - 0.71197 \dots + 2 πn

Solution steps

sin (x) = \frac{4.9}{7.5}

Apply trig inverse properties

x = arcsin (\frac{4.9}{7.5}) + 2 πn, x = π - arcsin (\frac{4.9}{7.5}) + 2 πn

Show solutions in decimal form

x = 0.71197 \dots + 2 πn, x = π - 0.71197 \dots + 2 πn

\frac{1}{cos ( x )} + sec^{2} (x) - 1 - cos (x) = 0

(sin (x) + cos (x))^{2} = 0

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

tan (θ) = \frac{3}{3}, 18 0^{\circ} \leq θ \leq 36 0^{\circ}

7.5 = 5 sin (\frac{π}{2} (x - 2)) + 5

What is the general solution for sin(x)=(4.9)/(7.5) ?
The general solution for sin(x)=(4.9)/(7.5) is x=0.71197…+2pin,x=pi-0.71197…+2pin