What is the general solution for 4sin(θ/2)=4cos(θ/2) ?

The general solution for 4sin(θ/2)=4cos(θ/2) is θ= pi/2+2pin

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4sin(θ/2)=4cos(θ/2)

4 sin (\frac{θ}{2}) = 4 cos (\frac{θ}{2})

θ = \frac{π}{2} + 2 πn

Solution steps

4 sin (\frac{θ}{2}) = 4 cos (\frac{θ}{2})

Rewrite using trig identities

4 tan (\frac{θ}{2}) = 4

Divide both sides by

4

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 sec (x) + 4 = sec (x) + 6

sin^{2} (x) - 5 sin (x) = 0

7 tan (c) + 7 = 2 tan (c) + 1

cos (2 x) cos (x) - sin (2 x) sin (x) = 1

sin (x - \frac{π}{2}) = - \frac{2}{2}

What is the general solution for 4sin(θ/2)=4cos(θ/2) ?
The general solution for 4sin(θ/2)=4cos(θ/2) is θ= pi/2+2pin