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If angle theta is 135o evaluate cos theta - JAMB Mathematics 2012 Question

If angle (\theta) is 135o, evaluate cos(\theta)

A
\(\frac{1}{2}\)
B
\(\frac{\sqrt{2}}{2}\)
C
\(-\frac{\sqrt{2}}{2}\)
D
\(-\frac{1}{2}\)
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Correct Option: B

(\theta) = 135o

Cos 135o = Cos(90 + 45)o

= cos90ocos45o - sin90osin45o

= 0cos45o - (1 x (\frac{\sqrt{2}}{2}))

= (-\frac{\sqrt{2}}{2})

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