What is the general solution for sin(A)=(64)/(115.43) ?

The general solution for sin(A)=(64)/(115.43) is A=0.58770…+2pin,A=pi-0.58770…+2pin

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sin(A)=(64)/(115.43)

sin (A) = \frac{64}{115.43}

A = 0.58770 \dots + 2 πn, A = π - 0.58770 \dots + 2 πn

Degrees

A = 33.67274 \dots^{\circ} + 36 0^{\circ} n, A = 146.32725 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = \frac{64}{115.43}

Apply trig inverse properties

sin (A) = \frac{64}{115.43}

General solutions for

sin (A) = \frac{64}{115.43}

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

A = arcsin (\frac{64}{115.43}) + 2 πn, A = π - arcsin (\frac{64}{115.43}) + 2 πn

A = arcsin (\frac{64}{115.43}) + 2 πn, A = π - arcsin (\frac{64}{115.43}) + 2 πn

Show solutions in decimal form

A = 0.58770 \dots + 2 πn, A = π - 0.58770 \dots + 2 πn

sin (2 x) + 2 cos (2 x) = 0

cos (x) = \frac{4}{12}

\frac{sin ( x )}{2} = \frac{cos ( x )}{3}

4 sin^{2} (θ) - 2 = 0, \frac{π}{2} < θ < \frac{3 π}{2}

9 sin (x) + 6 cos (x) = 10

What is the general solution for sin(A)=(64)/(115.43) ?
The general solution for sin(A)=(64)/(115.43) is A=0.58770…+2pin,A=pi-0.58770…+2pin