What is the general solution for cos(y)-sin(y)=0 ?

The general solution for cos(y)-sin(y)=0 is y= pi/4+pin

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cos(y)-sin(y)=0

cos (y) - sin (y) = 0

y = \frac{π}{4} + πn

Solution steps

cos (y) - sin (y) = 0

Rewrite using trig identities

1 - tan (y) = 0

Move

1

to the right side

- tan (y) = - 1

Divide both sides by

- 1

tan (y) = 1

General solutions for

tan (y) = 1

y = \frac{π}{4} + πn

36 sin (x) cos (x) = - 93

sin (2 x) = cos (4 x)

6 cos^{2} (θ) + 7 = - 17 cos (θ)

0 = - 9 \cdot sin (2 x)

sec^{2} (x) = 4 tan^{2} (x)

What is the general solution for cos(y)-sin(y)=0 ?
The general solution for cos(y)-sin(y)=0 is y= pi/4+pin