What is the general solution for cos(x)=(-1+sqrt(5))/4 ?

The general solution for cos(x)=(-1+sqrt(5))/4 is x=1.25663…+2pin,x=2pi-1.25663…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)=(-1+sqrt(5))/4

cos (x) = \frac{- 1 + 5}{4}

x = 1.25663 \dots + 2 πn, x = 2 π - 1.25663 \dots + 2 πn

Degrees

x = 7 2^{\circ} + 36 0^{\circ} n, x = 28 8^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{- 1 + 5}{4}

Apply trig inverse properties

cos (x) = \frac{- 1 + 5}{4}

General solutions for

cos (x) = \frac{- 1 + 5}{4}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{- 1 + 5}{4}) + 2 πn, x = 2 π - arccos (\frac{- 1 + 5}{4}) + 2 πn

x = arccos (\frac{- 1 + 5}{4}) + 2 πn, x = 2 π - arccos (\frac{- 1 + 5}{4}) + 2 πn

Show solutions in decimal form

x = 1.25663 \dots + 2 πn, x = 2 π - 1.25663 \dots + 2 πn

t, a = 5 \cdot sin (t)

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

\frac{1}{2} sin (\frac{x}{5}) = 0

sin (\frac{1}{3} x) = 0, 0 \leq x \leq 10 π

sin (π y) = cos (1) sin (\frac{π}{6}) - \frac{1}{2}

What is the general solution for cos(x)=(-1+sqrt(5))/4 ?
The general solution for cos(x)=(-1+sqrt(5))/4 is x=1.25663…+2pin,x=2pi-1.25663…+2pin