If sin θ = cos θ, find θ betwe...
If sin θ = cos θ, find θ between 0° and 360°
45o, 225o
135o, 315o
45o, 315o
135o, 225o
Correct answer is A
sin θ = cos θ 0 ≤ θ ≤ 360°
The acute angle where sin θ = cos θ = 45°
But at the third Quadrant Cos θ = -ve; sin θ = -ve.
at the 3rd quadrant, value with respect to Q is
(180 + Q) where Q = acute angle
(180 + 45) = 225°
The two solution are 45°, 225°