What is the general solution for 6sin(θ/2)=6cos(θ/2) ?

The general solution for 6sin(θ/2)=6cos(θ/2) is θ= pi/2+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6sin(θ/2)=6cos(θ/2)

6 sin (\frac{θ}{2}) = 6 cos (\frac{θ}{2})

θ = \frac{π}{2} + 2 πn

Solution steps

6 sin (\frac{θ}{2}) = 6 cos (\frac{θ}{2})

Rewrite using trig identities

6 tan (\frac{θ}{2}) = 6

Divide both sides by

6

tan (\frac{θ}{2}) = 1

General solutions for

tan (\frac{θ}{2}) = 1

\frac{θ}{2} = \frac{π}{4} + πn

Solve

\frac{θ}{2} = \frac{π}{4} + πn : θ = \frac{π}{2} + 2 πn

θ = \frac{π}{2} + 2 πn

2 cos (\frac{x}{2}) + 2 = 0

sin (2 x) + 2 cos (x) = 0, 0 \leq x \leq 2 π

cos (x) = \frac{8.5}{9.9}

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

3 tan (2 x - π) + 1 = 0

What is the general solution for 6sin(θ/2)=6cos(θ/2) ?
The general solution for 6sin(θ/2)=6cos(θ/2) is θ= pi/2+2pin