What is the general solution for sin(x)=0.28 ?

The general solution for sin(x)=0.28 is x=0.28379…+2pin,x=pi-0.28379…+2pin

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sin(x)=0.28

sin (x) = 0.28

x = 0.28379 \dots + 2 πn, x = π - 0.28379 \dots + 2 πn

Degrees

x = 16.26020 \dots^{\circ} + 36 0^{\circ} n, x = 163.73979 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.28

Apply trig inverse properties

sin (x) = 0.28

General solutions for

sin (x) = 0.28

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

x = arcsin (0.28) + 2 πn, x = π - arcsin (0.28) + 2 πn

x = arcsin (0.28) + 2 πn, x = π - arcsin (0.28) + 2 πn

Show solutions in decimal form

x = 0.28379 \dots + 2 πn, x = π - 0.28379 \dots + 2 πn

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

cos (t) - sin (t) = 0

sin (x) - cos (x) = \frac{1}{3}

What is the general solution for sin(x)=0.28 ?
The general solution for sin(x)=0.28 is x=0.28379…+2pin,x=pi-0.28379…+2pin