What is the general solution for sin(s)=0.41374 ?

The general solution for sin(s)=0.41374 is s=0.42655…+2pin,s=pi-0.42655…+2pin

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sin(s)=0.41374

sin (s) = 0.41374

s = 0.42655 \dots + 2 πn, s = π - 0.42655 \dots + 2 πn

Degrees

s = 24.43999 \dots^{\circ} + 36 0^{\circ} n, s = 155.56000 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (s) = 0.41374

Apply trig inverse properties

sin (s) = 0.41374

General solutions for

sin (s) = 0.41374

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

s = arcsin (0.41374) + 2 πn, s = π - arcsin (0.41374) + 2 πn

s = arcsin (0.41374) + 2 πn, s = π - arcsin (0.41374) + 2 πn

Show solutions in decimal form

s = 0.42655 \dots + 2 πn, s = π - 0.42655 \dots + 2 πn

sec (x) = 2 tan (x)

cos^{2} (a) = 2

arctan (2 x) = - \frac{16}{10}

3 tan (x) + 4 = 0

x, sin (x) = - \frac{3}{2}

What is the general solution for sin(s)=0.41374 ?
The general solution for sin(s)=0.41374 is s=0.42655…+2pin,s=pi-0.42655…+2pin