What is the general solution for sin(a)=0.35 ?

The general solution for sin(a)=0.35 is a=0.35757…+2pin,a=pi-0.35757…+2pin

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sin(a)=0.35

sin (a) = 0.35

a = 0.35757 \dots + 2 πn, a = π - 0.35757 \dots + 2 πn

Degrees

a = 20.48731 \dots^{\circ} + 36 0^{\circ} n, a = 159.51268 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.35

Apply trig inverse properties

sin (a) = 0.35

General solutions for

sin (a) = 0.35

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

a = arcsin (0.35) + 2 πn, a = π - arcsin (0.35) + 2 πn

a = arcsin (0.35) + 2 πn, a = π - arcsin (0.35) + 2 πn

Show solutions in decimal form

a = 0.35757 \dots + 2 πn, a = π - 0.35757 \dots + 2 πn

sin (2 x) = cos (2 x) + 1, \forall 0 \leq θ < 2 π

sin (x) = \frac{5}{14}

tan (2 θ) = - \frac{280}{\frac{( 0 - 0 )}{2}}

4 sin (x) + 1 = 0

cos^{2} (x) + cos^{2} (30) + cos^{2} (75) = 1

What is the general solution for sin(a)=0.35 ?
The general solution for sin(a)=0.35 is a=0.35757…+2pin,a=pi-0.35757…+2pin