What is the general solution for sin(a)=(29.7)/(54.5) ?

The general solution for sin(a)=(29.7)/(54.5) is a=0.57633…+2pin,a=pi-0.57633…+2pin

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sin(a)=(29.7)/(54.5)

sin (a) = \frac{29.7}{54.5}

a = 0.57633 \dots + 2 πn, a = π - 0.57633 \dots + 2 πn

Degrees

a = 33.02152 \dots^{\circ} + 36 0^{\circ} n, a = 146.97847 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{29.7}{54.5}

Apply trig inverse properties

sin (a) = \frac{29.7}{54.5}

General solutions for

sin (a) = \frac{29.7}{54.5}

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

a = arcsin (\frac{29.7}{54.5}) + 2 πn, a = π - arcsin (\frac{29.7}{54.5}) + 2 πn

a = arcsin (\frac{29.7}{54.5}) + 2 πn, a = π - arcsin (\frac{29.7}{54.5}) + 2 πn

Show solutions in decimal form

a = 0.57633 \dots + 2 πn, a = π - 0.57633 \dots + 2 πn

1.0003 sin (3 0^{\circ}) = 1.46 sin (x)

3 tan (x) + 2 cos (x) = 0

(cos (x)) (b sin (x) - a) = 0, 0 \leq x < 2 π

cos (x) = - \frac{5}{34}

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 1

What is the general solution for sin(a)=(29.7)/(54.5) ?
The general solution for sin(a)=(29.7)/(54.5) is a=0.57633…+2pin,a=pi-0.57633…+2pin