What is the general solution for cos(θ)=(202)/(sqrt(331)*2\sqrt{33)} ?

The general solution for cos(θ)=(202)/(sqrt(331)*2\sqrt{33)} is θ=0.26001…+2pin,θ=2pi-0.26001…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)=(202)/(sqrt(331)*2\sqrt{33)}

cos (θ) = \frac{202}{331 \cdot 2 33}

θ = 0.26001 \dots + 2 πn, θ = 2 π - 0.26001 \dots + 2 πn

Radians

θ = 0.26001 \dots + 6.28318 \dots n, θ = 6.02316 \dots + 6.28318 \dots n

Solution steps

cos (θ) = \frac{202}{331 \cdot 2 33}

Simplify

\frac{202}{331 \cdot 2 33} : \frac{101 10923}{10923}

\frac{202}{331 \cdot 2 33}

Divide the numbers:

\frac{202}{2} = 101

= \frac{101}{331 33}

Simplify

33133 : 10923

33133

Apply radical rule:

a b = a \cdot b

33133 = 331 \cdot 33

= 331 \cdot 33

Multiply the numbers:

331 \cdot 33 = 10923

= 10923

= \frac{101}{10923}

Rationalize

\frac{101}{10923} : \frac{101 10923}{10923}

\frac{101}{10923}

Multiply by the conjugate

\frac{10923}{10923}

= \frac{101 10923}{10923 10923}

1092310923 = 10923

1092310923

Apply radical rule:

a a = a

1092310923 = 10923

= 10923

= \frac{101 10923}{10923}

= \frac{101 10923}{10923}

cos (θ) = \frac{101 10923}{10923}

Apply trig inverse properties

cos (θ) = \frac{101 10923}{10923}

General solutions for

cos (θ) = \frac{101 10923}{10923}

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

θ = arccos (\frac{101 10923}{10923}) + 2 πn, θ = 2 π - arccos (\frac{101 10923}{10923}) + 2 πn

θ = arccos (\frac{101 10923}{10923}) + 2 πn, θ = 2 π - arccos (\frac{101 10923}{10923}) + 2 πn

Show solutions in decimal form

θ = 0.26001 \dots + 2 πn, θ = 2 π - 0.26001 \dots + 2 πn

5 sin (θ) + 12 cos (θ) = 13

2 - 2 cos^{2} (x) + 3 cos (x) = 0

cot (x) = \frac{5}{12}, π < x < \frac{3 π}{2}

tan (x) = \frac{1}{5}, tan (x + \frac{π}{2})

2 cos (5 x) = 0

What is the general solution for cos(θ)=(202)/(sqrt(331)*2\sqrt{33)} ?
The general solution for cos(θ)=(202)/(sqrt(331)*2\sqrt{33)} is θ=0.26001…+2pin,θ=2pi-0.26001…+2pin