What is the general solution for cos(x)=-5/(sqrt(34)) ?

The general solution for cos(x)=-5/(sqrt(34)) is x=2.60117…+2pin,x=-2.60117…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)=-5/(sqrt(34))

cos (x) = - \frac{5}{34}

x = 2.60117 \dots + 2 πn, x = - 2.60117 \dots + 2 πn

Radians

x = 2.60117 \dots + 6.28318 \dots n, x = - 2.60117 \dots + 6.28318 \dots n

Solution steps

cos (x) = - \frac{5}{34}

Simplify

- \frac{5}{34} : - \frac{5 34}{34}

- \frac{5}{34}

Multiply by the conjugate

\frac{34}{34}

= - \frac{5 34}{34 34}

3434 = 34

3434

Apply radical rule:

a a = a

3434 = 34

= 34

= - \frac{5 34}{34}

cos (x) = - \frac{5 34}{34}

Apply trig inverse properties

cos (x) = - \frac{5 34}{34}

General solutions for

cos (x) = - \frac{5 34}{34}

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

x = arccos (- \frac{5 34}{34}) + 2 πn, x = - arccos (- \frac{5 34}{34}) + 2 πn

x = arccos (- \frac{5 34}{34}) + 2 πn, x = - arccos (- \frac{5 34}{34}) + 2 πn

Show solutions in decimal form

x = 2.60117 \dots + 2 πn, x = - 2.60117 \dots + 2 πn

sin (3 x) = \frac{1}{2}, 0 \leq x \leq 1

sec (θ) = - \frac{1}{2}

cos (x) = cos (x - c)

4 cos (120 t) = 0

\frac{3 3}{π} = sec (c)

What is the general solution for cos(x)=-5/(sqrt(34)) ?
The general solution for cos(x)=-5/(sqrt(34)) is x=2.60117…+2pin,x=-2.60117…+2pin