What is the general solution for sin(A)=0.4 ?

The general solution for sin(A)=0.4 is A=0.41151…+2pin,A=pi-0.41151…+2pin

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sin(A)=0.4

sin (A) = 0.4

A = 0.41151 \dots + 2 πn, A = π - 0.41151 \dots + 2 πn

Degrees

A = 23.57817 \dots^{\circ} + 36 0^{\circ} n, A = 156.42182 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = 0.4

Apply trig inverse properties

sin (A) = 0.4

General solutions for

sin (A) = 0.4

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

A = arcsin (0.4) + 2 πn, A = π - arcsin (0.4) + 2 πn

A = arcsin (0.4) + 2 πn, A = π - arcsin (0.4) + 2 πn

Show solutions in decimal form

A = 0.41151 \dots + 2 πn, A = π - 0.41151 \dots + 2 πn

3 sin^{2} (θ) - 3 = 0

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

sin (x) = \frac{17}{8}

3 csc (θ) = 2

4 sin (x) + 8 = 8

What is the general solution for sin(A)=0.4 ?
The general solution for sin(A)=0.4 is A=0.41151…+2pin,A=pi-0.41151…+2pin