Home » Past Questions » Mathematics » If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o...

If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o...



Dicussion (1)

  • sin \(\theta\) = cos \(\theta\) 0 \(\leq\) \(\theta\) \(\leq\) 360o
    The acute angle where sin \(\theta\) = cos \(\theta\) = 45o
    But at the fourth Quadrant Cos \(\theta\) = +ve
    at the 4th quadrant, value with respect to Q is
    (360 - Q) where Q = acute angle
    (360 - 45) = 315o
    The two solution are 45o, 315o

    Reply
    Like