What is the general solution for 4sin(x)=4cos(x) ?

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

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4sin(x)=4cos(x)

4 sin (x) = 4 cos (x)

x = \frac{π}{4} + πn

Solution steps

4 sin (x) = 4 cos (x)

Rewrite using trig identities

4 tan (x) = 4

Divide both sides by

4

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

sin (θ) + cos (θ) = - 1

6 sin (3 x) = 0

tan (x) = \frac{7}{24}

5 sin (x) = 2 cos^{2} (x) - 4

2 sin (x - \frac{π}{2}) + 2 = 0

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