Mathematics

Test your understanding of this lesson Associate angles | Example-Simplification:-

1)
The value of \(cos18^{0}\) + \(cos162^{0}\) +\(cos234^{0}\) + \(cos306^{0}\) is
  • 0
  • -1
  • 2
  • -2
2)
The value of \(tan\frac{3\pi}{20}tan\frac{4\pi}{20}tan\frac{5\pi}{20}tan\frac{6\pi}{20}tan\frac{7\pi}{20}\) is
  • -1
  • 0
  • 2
  • 1
3)
The value of \(cos^{2}\frac{\pi}{4} + sin^{2}\frac{3\pi}{4} + sin^{2}\frac{5\pi}{4} + sin^{2}\frac{7\pi}{4}\)
  • 2
  • -2
  • 0
  • -1
4)
If \(4\theta\)=\(11\pi\) then the value of \(\frac{sin(-\theta)+cos(-\theta)}{sec\theta-tan(-\theta)}\)
  • 2
  • \(2+\sqrt{2}\)
  • \(2-\sqrt{2}\)
  • -\(\sqrt{2}\)
5)
If \(sin\theta\) + \(cos\theta\) = 0,and \(\theta\) lies in the fourth quadrant,then \(cos\theta\) is
  • 0
  • 1
  • 2
  • \(\frac{1}{\sqrt{2}}\)

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