I'm still struggling with trig equations, does anyone know how to start this? 1+cosx=sinx?

Question

Directions on worksheet: Solve each equation over the specified domain. Exact answers must be given.

'x' is greater than or equal to zero and less than 2pi

Answer 1

Subtract cosx from both sides. Remember when cos is 1 or -1, sin is 0 and vice versa.

Answer 2

Write sin x = √(1 - cos²x)
Then (1+cos x)² = 1-cos²x
Multiplying out and simplifying,
2cos²x + 2cos x = 0.
cos x(cos x + 1) = 0.
So cos x = 0, x = π/2
or cos x = -1, x = π.
Hope that helps!