If sin theta cos theta find theta between 0o an... - JAMB Mathematics 1993 Question
If sin (\theta) = cos (\theta), find (\theta) between 0o and 360o
A
45o, 225o
B
135o, 315o
C
45o, 315o
D
135o, 225o
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Correct Option: C
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
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