What is the general solution for sin(a)=0.3 ?

The general solution for sin(a)=0.3 is a=0.30469…+2pin,a=pi-0.30469…+2pin

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sin(a)=0.3

sin (a) = 0.3

a = 0.30469 \dots + 2 πn, a = π - 0.30469 \dots + 2 πn

Degrees

a = 17.45760 \dots^{\circ} + 36 0^{\circ} n, a = 162.54239 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.3

Apply trig inverse properties

sin (a) = 0.3

General solutions for

sin (a) = 0.3

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

a = arcsin (0.3) + 2 πn, a = π - arcsin (0.3) + 2 πn

a = arcsin (0.3) + 2 πn, a = π - arcsin (0.3) + 2 πn

Show solutions in decimal form

a = 0.30469 \dots + 2 πn, a = π - 0.30469 \dots + 2 πn

sin (x) = \frac{5}{13}, tan (x), \frac{π}{2} \leq x \leq π

sin (x) + cos^{2} (x) = \frac{5}{4}

2 cos^{2} (θ) - 5 cos (θ) - 3 = 0

15 sin (x) + 6 cos (x) - 3 = 0

1 + cot^{2} (x) = 8

What is the general solution for sin(a)=0.3 ?
The general solution for sin(a)=0.3 is a=0.30469…+2pin,a=pi-0.30469…+2pin