If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o
A
45o, 225o
B
135o, 315o
C
45o, 315o
D
135o, 225o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
sin \(\theta\) = cos \(\theta\) 0 \(\leq\) \(\theta\) \(\leq\) 360o
The acute angle where sin \(\theta\) = cos \(\theta\) = 45o
But at the third Quadrant Cos \(\theta\) = -ve; sin \(\theta\) = -ve.
at the 3rd quadrant, value with respect to Q is
(180 + Q) where Q = acute angle
(180 + 45) = 225^\circ
The two solution are 45^\circ, 225^\circ
Source: Myschool Past Questions Archive (Record #31253)