What is the general solution for 150cos(x-8)=0 ?

The general solution for 150cos(x-8)=0 is x= pi/2+2pin+8,x=(3pi)/2+2pin+8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

150cos(x-8)=0

150 cos (x - 8) = 0

x = \frac{π}{2} + 2 πn + 8, x = \frac{3 π}{2} + 2 πn + 8

Degrees

x = 548.36623 \dots^{\circ} + 36 0^{\circ} n, x = 728.36623 \dots^{\circ} + 36 0^{\circ} n

Solution steps

150 cos (x - 8) = 0

Divide both sides by

150

150 cos (x - 8) = 0

Divide both sides by

150

\frac{150 cos ( x - 8 )}{150} = \frac{0}{150}

Simplify

cos (x - 8) = 0

cos (x - 8) = 0

General solutions for

cos (x - 8) = 0

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

x - 8 = \frac{π}{2} + 2 πn, x - 8 = \frac{3 π}{2} + 2 πn

x - 8 = \frac{π}{2} + 2 πn, x - 8 = \frac{3 π}{2} + 2 πn

Solve

x - 8 = \frac{π}{2} + 2 πn : x = \frac{π}{2} + 2 πn + 8

x - 8 = \frac{π}{2} + 2 πn

Move

8

to the right side

x - 8 = \frac{π}{2} + 2 πn

Add

8

to both sides

x - 8 + 8 = \frac{π}{2} + 2 πn + 8

Simplify

x = \frac{π}{2} + 2 πn + 8

x = \frac{π}{2} + 2 πn + 8

Solve

x - 8 = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{2} + 2 πn + 8

x - 8 = \frac{3 π}{2} + 2 πn

Move

8

to the right side

x - 8 = \frac{3 π}{2} + 2 πn

Add

8

to both sides

x - 8 + 8 = \frac{3 π}{2} + 2 πn + 8

Simplify

x = \frac{3 π}{2} + 2 πn + 8

x = \frac{3 π}{2} + 2 πn + 8

x = \frac{π}{2} + 2 πn + 8, x = \frac{3 π}{2} + 2 πn + 8

8 sin^{2} (x) - 6 sin (x) + 1 = 0

sin (5 x) - cos (3 0^{\circ}) = 0

2 cos^{2} (t) + 2 cos (2 t) = 0

tan^{3} (θ) = tan (θ)

arcsin (2 x) + arcsin (x) = \frac{2 π}{3}

What is the general solution for 150cos(x-8)=0 ?
The general solution for 150cos(x-8)=0 is x= pi/2+2pin+8,x=(3pi)/2+2pin+8