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

Mathematics
JAMB 2012

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 Answer: Option C
Explanation

\(\theta\) = 135o

Cos 135o = Cos(90 + 45)o

= cos90ocos45o - sin90osin45o

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

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

There is an explanation video available below.

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Explanation Video

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