What is the general solution for 2sin(x)=2cos(x) ?

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

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2sin(x)=2cos(x)

2 sin (x) = 2 cos (x)

x = \frac{π}{4} + πn

Solution steps

2 sin (x) = 2 cos (x)

Rewrite using trig identities

2 tan (x) = 2

Divide both sides by

2

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

3 csc^{2} (x) = 1 + 2 csc^{2} (x)

cos (2 x) + sin^{2} (x) = 1

3 (sec (θ)) = 10

2 sin^{2} (3 x) - 1 = 0

4 sin^{3} (x) + 2 sin^{2} (x) = 2 sin (x) + 1

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