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

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Mathematics JAMB 2012

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

  • \(\frac{1}{2}\)
  • \(\frac{\sqrt{2}}{2}\)
  • \(-\frac{\sqrt{2}}{2}\) checkmark
  • \(-\frac{1}{2}\)

The correct answer is: 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 .

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