Question

sin² Ɵ + cos Ɵ = 2

Answer 1

The equation also has "hint: Use the Pythagorean identity to replace in the given equation"
I tried to factor and simplify but I got an incorrect answer

Answer 2

"to replace sin² Ɵ"

Answer 3

cos=sqrrt(1-sin^2)
sin2+sqrt(1-sin^2)=2, let sin^2 be x
x+sqrrt(1-x)=2
x-2=sqrrt(1-x)
square both sides
x^2-4x+4=1-x
x^2-3x+3=0
(x-1)(x-3)=0
x=1
x=3

remember sin^2 is x so find that

Answer 4

sin² Ɵ = 1 sin² Ɵ = 3
sin Ɵ = 1 sin Ɵ = sqrt(3)
Ɵ = 90 degrees undefined
or pi/2 radians

Answer 5

@pasta is that correct