What is the general solution for cot(θ/7)=sqrt(12) ?

The general solution for cot(θ/7)=sqrt(12) is θ=7*0.28103…+7pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot(θ/7)=sqrt(12)

cot (\frac{θ}{7}) = 12

θ = 7 \cdot 0.28103 \dots + 7 πn

Solution steps

cot (\frac{θ}{7}) = 12

Simplify

12 : 23

Apply trig inverse properties

\frac{θ}{7} = arccot (23) + πn

Solve

\frac{θ}{7} = arccot (23) + πn : θ = 7 arccot (23) + 7 πn

θ = 7 arccot (23) + 7 πn

Show solutions in decimal form

θ = 7 \cdot 0.28103 \dots + 7 πn

cos (x) sin (x) + sin (x) = 0

2 sin (θ) + 6 = 5

3 sin (θ) - 3 = sin (θ)

cos (x) = \frac{15}{17}

6 cos (θ) - 3 = 0

What is the general solution for cot(θ/7)=sqrt(12) ?
The general solution for cot(θ/7)=sqrt(12) is θ=7*0.28103…+7pin