What is the general solution for sin(x)=0.72555 ?

The general solution for sin(x)=0.72555 is x=0.81183…+2pin,x=pi-0.81183…+2pin

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sin(x)=0.72555

sin (x) = 0.72555

x = 0.81183 \dots + 2 πn, x = π - 0.81183 \dots + 2 πn

Degrees

x = 46.51462 \dots^{\circ} + 36 0^{\circ} n, x = 133.48537 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.72555

Apply trig inverse properties

sin (x) = 0.72555

General solutions for

sin (x) = 0.72555

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

x = arcsin (0.72555) + 2 πn, x = π - arcsin (0.72555) + 2 πn

x = arcsin (0.72555) + 2 πn, x = π - arcsin (0.72555) + 2 πn

Show solutions in decimal form

x = 0.81183 \dots + 2 πn, x = π - 0.81183 \dots + 2 πn

15 = 10 sin (\frac{π}{20} (x + 10)) + 12

- cos (x) = \frac{2}{20}

tan^{2} (x) + 7 = - 10 sec (x), 0 < x < 2 π

tan (θ) = \frac{14}{11}

tan (3 φ - 4) = - \frac{1}{2}, 0 \leq φ \leq \frac{π}{2}

What is the general solution for sin(x)=0.72555 ?
The general solution for sin(x)=0.72555 is x=0.81183…+2pin,x=pi-0.81183…+2pin