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

Assessment: JAMB UTME - Mathematics - 1993 Subject: General Mathematics

Question 1 Report

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

Answer Details
sin  θ  = cos  θ  0  ≤   θ   ≤  360o
The acute angle where sin  θ  = cos  θ  = 45o
But at the fourth Quadrant Cos  θ  = +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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