What is the general solution for solvefor x,cos^2(x+y)=sin^2(x+y) ?

The general solution for solvefor x,cos^2(x+y)=sin^2(x+y) is x= pi/4+pin-y,x=(3pi)/4+pin-y

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solvefor x,cos^2(x+y)=sin^2(x+y)

solve for

x, cos^{2} (x + y) = sin^{2} (x + y)

x = \frac{π}{4} + πn - y, x = \frac{3 π}{4} + πn - y

Solution steps

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

Subtract

sin^{2} (x + y)

from both sides

cos^{2} (x + y) - sin^{2} (x + y) = 0

Rewrite using trig identities

cos (2 (y + x)) = 0

General solutions for

cos (2 (y + x)) = 0

2 (y + x) = \frac{π}{2} + 2 πn, 2 (y + x) = \frac{3 π}{2} + 2 πn

Solve

2 (y + x) = \frac{π}{2} + 2 πn : x = \frac{π}{4} + πn - y

Solve

2 (y + x) = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{4} + πn - y

x = \frac{π}{4} + πn - y, x = \frac{3 π}{4} + πn - y

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

a^{2} = b^{2} + c^{2} - 2 b c \cdot cos (x)

3 sin^{2} (X) - cos (X) = 0

4 sin (θ) = csc (θ)

- \frac{1}{3} = sin (x)

What is the general solution for solvefor x,cos^2(x+y)=sin^2(x+y) ?
The general solution for solvefor x,cos^2(x+y)=sin^2(x+y) is x= pi/4+pin-y,x=(3pi)/4+pin-y