What is the general solution for sin(A)=(6.347)/(12.7) ?

The general solution for sin(A)=(6.347)/(12.7) is A=0.52332…+2pin,A=pi-0.52332…+2pin

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sin(A)=(6.347)/(12.7)

sin (A) = \frac{6.347}{12.7}

A = 0.52332 \dots + 2 πn, A = π - 0.52332 \dots + 2 πn

Degrees

A = 29.98437 \dots^{\circ} + 36 0^{\circ} n, A = 150.01562 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = \frac{6.347}{12.7}

Apply trig inverse properties

sin (A) = \frac{6.347}{12.7}

General solutions for

sin (A) = \frac{6.347}{12.7}

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

A = arcsin (\frac{6.347}{12.7}) + 2 πn, A = π - arcsin (\frac{6.347}{12.7}) + 2 πn

A = arcsin (\frac{6.347}{12.7}) + 2 πn, A = π - arcsin (\frac{6.347}{12.7}) + 2 πn

Show solutions in decimal form

A = 0.52332 \dots + 2 πn, A = π - 0.52332 \dots + 2 πn

sec (x) = 3 cos (x) - tan (x)

arctan (x^{2} - 2 x) = 0

sin (x^{\circ}) = \frac{6.57 \cdot 1 0 ^{- 7}}{1.8 \cdot 1 0 ^{- 6}}

3 sin^{2} (x) + cos^{2} (x) = 3 sin (x)

y, x tan (y) - x^{2} sin (x) + 3 x^{3} = 0

What is the general solution for sin(A)=(6.347)/(12.7) ?
The general solution for sin(A)=(6.347)/(12.7) is A=0.52332…+2pin,A=pi-0.52332…+2pin