Johnson's answer to alice's Secondary 4 A Maths Singapore question.
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Hope it helps
Date Posted:
2 years ago
How about cot theta = 0? There are solutions to it.
Of course, not if you view it as cot theta = 1 / tan theta (at least for O Levels where they count tan pi/2 as “undefined”).
If you view it as cot theta = cos theta / sin theta and we realise that cos and sin of the angle cannot be zero at the same time (ie 0/0 is not possible) then cot theta = 0 leads to cos theta = 0.
With angles pi/2 and 3pi/2.
Of course, not if you view it as cot theta = 1 / tan theta (at least for O Levels where they count tan pi/2 as “undefined”).
If you view it as cot theta = cos theta / sin theta and we realise that cos and sin of the angle cannot be zero at the same time (ie 0/0 is not possible) then cot theta = 0 leads to cos theta = 0.
With angles pi/2 and 3pi/2.
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