What is the general solution for sin(A)= 3/4 ?

The general solution for sin(A)= 3/4 is A=0.84806…+2pin,A=pi-0.84806…+2pin

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sin(A)= 3/4

sin (A) = \frac{3}{4}

A = 0.84806 \dots + 2 πn, A = π - 0.84806 \dots + 2 πn

Degrees

A = 48.59037 \dots^{\circ} + 36 0^{\circ} n, A = 131.40962 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = \frac{3}{4}

Apply trig inverse properties

sin (A) = \frac{3}{4}

General solutions for

sin (A) = \frac{3}{4}

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

A = arcsin (\frac{3}{4}) + 2 πn, A = π - arcsin (\frac{3}{4}) + 2 πn

A = arcsin (\frac{3}{4}) + 2 πn, A = π - arcsin (\frac{3}{4}) + 2 πn

Show solutions in decimal form

A = 0.84806 \dots + 2 πn, A = π - 0.84806 \dots + 2 πn

4 sin^{2} (x) + 42 cos (x) - 6 = 0

4 - 5 cos (x) = 4 + 3 sin (x)

\frac{tan ( θ ) cos ( θ )}{csc ( θ )} = sin (θ)

sin (θ) = \frac{44}{12}

cos (A) = \frac{2 ^{2} + 2.2 4 ^{2} - 2.2 4 ^{2}}{2 ( 2 ) ( 2.24 )}

What is the general solution for sin(A)= 3/4 ?
The general solution for sin(A)= 3/4 is A=0.84806…+2pin,A=pi-0.84806…+2pin