What is the general solution for sin(x)=0.03725 ?

The general solution for sin(x)=0.03725 is x=0.03725…+2pin,x=pi-0.03725…+2pin

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sin(x)=0.03725

sin (x) = 0.03725

x = 0.03725 \dots + 2 πn, x = π - 0.03725 \dots + 2 πn

Degrees

x = 2.13476 \dots^{\circ} + 36 0^{\circ} n, x = 177.86523 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.03725

Apply trig inverse properties

sin (x) = 0.03725

General solutions for

sin (x) = 0.03725

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

x = arcsin (0.03725) + 2 πn, x = π - arcsin (0.03725) + 2 πn

x = arcsin (0.03725) + 2 πn, x = π - arcsin (0.03725) + 2 πn

Show solutions in decimal form

x = 0.03725 \dots + 2 πn, x = π - 0.03725 \dots + 2 πn

tan (x) = 2.747

y, \frac{sin ( 3 y )}{3} = \frac{cos ( 2 x )}{2} + \frac{1}{2}

(tan (x) - 1) (4 sin^{2} (x) - 3) = 0

4 sin (θ) + 3 csc (θ) = 7

- 4 sin (x) = - cos^{2} (x) + 1, 0 \leq x \leq 2 π

What is the general solution for sin(x)=0.03725 ?
The general solution for sin(x)=0.03725 is x=0.03725…+2pin,x=pi-0.03725…+2pin