What is the general solution for pi/2 =2sin(x) ?

The general solution for pi/2 =2sin(x) is x=0.90333…+2pin,x=pi-0.90333…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

pi/2 =2sin(x)

\frac{π}{2} = 2 sin (x)

x = 0.90333 \dots + 2 πn, x = π - 0.90333 \dots + 2 πn

Solution steps

\frac{π}{2} = 2 sin (x)

Switch sides

2 sin (x) = \frac{π}{2}

Divide both sides by

2

sin (x) = \frac{π}{4}

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.90333 \dots + 2 πn, x = π - 0.90333 \dots + 2 πn

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

\frac{20}{sin ( 3 5 ^{\circ} )} = \frac{16}{sin ( C )}

\frac{tan ( 2 θ )}{2} = tan (θ)

2 sin^{2} (3 x) - 3 cos (3 x) + 1 = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

2 sin (\frac{x}{2}) = 1 - cos (x)

What is the general solution for pi/2 =2sin(x) ?
The general solution for pi/2 =2sin(x) is x=0.90333…+2pin,x=pi-0.90333…+2pin