What is the general solution for sin(x)=(5sqrt(2+\sqrt{3)})/(18) ?

The general solution for sin(x)=(5sqrt(2+\sqrt{3)})/(18) is x=0.56643…+2pin,x=pi-0.56643…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)=(5sqrt(2+\sqrt{3)})/(18)

sin (x) = \frac{5 2 + 3}{18}

x = 0.56643 \dots + 2 πn, x = π - 0.56643 \dots + 2 πn

Degrees

x = 32.45421 \dots^{\circ} + 36 0^{\circ} n, x = 147.54578 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{5 2 + 3}{18}

Apply trig inverse properties

sin (x) = \frac{5 2 + 3}{18}

General solutions for

sin (x) = \frac{5 2 + 3}{18}

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

x = arcsin (\frac{5 2 + 3}{18}) + 2 πn, x = π - arcsin (\frac{5 2 + 3}{18}) + 2 πn

x = arcsin (\frac{5 2 + 3}{18}) + 2 πn, x = π - arcsin (\frac{5 2 + 3}{18}) + 2 πn

Show solutions in decimal form

x = 0.56643 \dots + 2 πn, x = π - 0.56643 \dots + 2 πn

7 = 4 + 3 sin (θ + \frac{π}{3})

sin (3 x) = 2.5 cos (3 x)

sin (x) + cos (x) = \frac{3}{5}

sec (\frac{5 θ}{4}) = 2, 0 \leq θ \leq 2 π

3 cot (θ) - 1 = - cot^{2} (θ)

What is the general solution for sin(x)=(5sqrt(2+\sqrt{3)})/(18) ?
The general solution for sin(x)=(5sqrt(2+\sqrt{3)})/(18) is x=0.56643…+2pin,x=pi-0.56643…+2pin