What is the general solution for sin(r)=0.58 ?

The general solution for sin(r)=0.58 is r=0.61872…+2pin,r=pi-0.61872…+2pin

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sin(r)=0.58

sin (r) = 0.58

r = 0.61872 \dots + 2 πn, r = π - 0.61872 \dots + 2 πn

Degrees

r = 35.45054 \dots^{\circ} + 36 0^{\circ} n, r = 144.54945 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (r) = 0.58

Apply trig inverse properties

sin (r) = 0.58

General solutions for

sin (r) = 0.58

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

r = arcsin (0.58) + 2 πn, r = π - arcsin (0.58) + 2 πn

r = arcsin (0.58) + 2 πn, r = π - arcsin (0.58) + 2 πn

Show solutions in decimal form

r = 0.61872 \dots + 2 πn, r = π - 0.61872 \dots + 2 πn

What is the general solution for sin(r)=0.58 ?
The general solution for sin(r)=0.58 is r=0.61872…+2pin,r=pi-0.61872…+2pin