What is the general solution for sin(x)=sin(90-x) ?

The general solution for sin(x)=sin(90-x) is x=45+180n

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sin(x)=sin(90-x)

sin (x) = sin (9 0^{\circ} - x)

x = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

sin (x) = sin (9 0^{\circ} - x)

Rewrite using trig identities

sin (x) = cos (x)

Subtract

cos (x)

from both sides

sin (x) - cos (x) = 0

Rewrite using trig identities

tan (x) - 1 = 0

Move

1

to the right side

tan (x) = 1

General solutions for

tan (x) = 1

x = 4 5^{\circ} + 18 0^{\circ} n

2 sin (2 θ) - 3 - \frac{6}{sin ( 2 θ ) - 1} = 0

8 cos (B) + 52 = 8

sin (a x) = 0

cos (x + 3 0^{\circ}) = 2 cos (x)

x, sec (x) tan (x) = 23

What is the general solution for sin(x)=sin(90-x) ?
The general solution for sin(x)=sin(90-x) is x=45+180n