en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin^5(3x^2+2)=0.35

Solution

sin^{5} (3 x^{2} + 2) = 0.35

Solution

x = \frac{0.94519 \dots + 2 πn - 2}{3}, x = - \frac{0.94519 \dots + 2 πn - 2}{3}, x = \frac{π - 0.94519 \dots + 2 πn - 2}{3}, x = - \frac{π - 0.94519 \dots + 2 πn - 2}{3}

+1

Degrees

x = 0^{\circ} + 75.63899 \dots^{\circ} n, x = 0^{\circ} - 75.63899 \dots^{\circ} n, x = 0^{\circ} + 84.20452 \dots^{\circ} n, x = 0^{\circ} - 84.20452 \dots^{\circ} n

Solution steps

sin^{5} (3 x^{2} + 2) = 0.35

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

Solve

Move

2

to the right side

Subtract

2

from both sides

Simplify

Divide both sides by

3

Divide both sides by

3

Simplify

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

Simplify

Combine the fractions

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

Simplify

Combine the fractions

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

Solve

Move

2

to the right side

Subtract

2

from both sides

Simplify

Divide both sides by

3

Divide both sides by

3

Simplify

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

Simplify

Combine the fractions

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

Simplify

Combine the fractions

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

Show solutions in decimal form

x = \frac{0.94519 \dots + 2 πn - 2}{3}, x = - \frac{0.94519 \dots + 2 πn - 2}{3}, x = \frac{π - 0.94519 \dots + 2 πn - 2}{3}, x = - \frac{π - 0.94519 \dots + 2 πn - 2}{3}

Popular Examples

cos(θ)-sin(-θ)=0

cos (θ) - sin (- θ) = 0

cos^{2} (3 x) = \frac{1}{4}

cos(7x-30)sec(x)=1

cos (7 x - 30) sec (x) = 1

sin (θ) = \frac{45}{53}

2-sin^2(θ)+2sin(θ)=0

2 - sin^{2} (θ) + 2 sin (θ) = 0