What is the general solution for 4sin^5(x)=3 ?

The general solution for 4sin^5(x)=3 is x=1.23481…+2pin,x=pi-1.23481…+2pin

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4sin^5(x)=3

4 sin^{5} (x) = 3

x = 1.23481 \dots + 2 πn, x = π - 1.23481 \dots + 2 πn

Degrees

x = 70.74973 \dots^{\circ} + 36 0^{\circ} n, x = 109.25026 \dots^{\circ} + 36 0^{\circ} n

Solution steps

4 sin^{5} (x) = 3

Divide both sides by

4

4 sin^{5} (x) = 3

Divide both sides by

4

\frac{4 sin ^{5} ( x )}{4} = \frac{3}{4}

Simplify

sin^{5} (x) = \frac{3}{4}

sin^{5} (x) = \frac{3}{4}

For

x^{n} = f (a)

, n is odd, the solution is

Apply trig inverse properties

General solutions for

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

Show solutions in decimal form

x = 1.23481 \dots + 2 πn, x = π - 1.23481 \dots + 2 πn

cos (\frac{x}{2}) = 0.5

sin (x + 6 0^{\circ}) = 2 cos (x)

sin (9 x) = sin (x)

cot^{3} (x) + 2 cot^{2} (x) - 3 cot (x) - 6 = 0

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

What is the general solution for 4sin^5(x)=3 ?
The general solution for 4sin^5(x)=3 is x=1.23481…+2pin,x=pi-1.23481…+2pin