What is the general solution for sin(x)=0.74 ?

The general solution for sin(x)=0.74 is x=0.83307…+2pin,x=pi-0.83307…+2pin

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sin(x)=0.74

sin (x) = 0.74

x = 0.83307 \dots + 2 πn, x = π - 0.83307 \dots + 2 πn

Degrees

x = 47.73141 \dots^{\circ} + 36 0^{\circ} n, x = 132.26858 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.74

Apply trig inverse properties

sin (x) = 0.74

General solutions for

sin (x) = 0.74

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

x = arcsin (0.74) + 2 πn, x = π - arcsin (0.74) + 2 πn

x = arcsin (0.74) + 2 πn, x = π - arcsin (0.74) + 2 πn

Show solutions in decimal form

x = 0.83307 \dots + 2 πn, x = π - 0.83307 \dots + 2 πn

sin (x) = 0.72

sin (x) = 0.28

sin (θ) = - \frac{3}{5}, cos (θ) = \frac{4}{5}, tan (θ), cot (θ)

cos (6 0^{\circ} - x) = 1

sec^{2} (θ) + csc^{2} (θ) = 1

What is the general solution for sin(x)=0.74 ?
The general solution for sin(x)=0.74 is x=0.83307…+2pin,x=pi-0.83307…+2pin