Leadership

Mathematics

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

1)
Value of \(\tan[\frac{n\pi}{2}+(-1)^{n}\frac{\pi}{4}]\) is
  • -1
  • \(\sqrt{3}\)
  • 1
  • \(\frac{1}{\sqrt{3}}\)
2)
Value of \(\sin[\frac{n\pi}{2}+(-1)^{n}\frac{\pi}{6}]\) is
  • \(\frac{1}{\sqrt{2}}\)
  • -\(\frac{1}{\sqrt{2}}\)
  • \(\frac{1}{2}\)
  • -\(\frac{1}{2}\)
3)
If 4n\(\alpha\)(=\(\pi\), then value of \(\tan\alpha.\tan2\alpha.tan3\alpha.....tan(2n-2)\alpha.tan(2n-1)\alpha\) is
  • 1
  • -1
  • 0
  • none of these
4)
Value of \(\cos(n\pi+\alpha)\) is (Where n \(\epsilon\) N)
  • \((-1)^{n}cos\alpha\)
  • \(cos\alpha\)
  • \(sin\alpha\)
  • -\(sin\alpha\)
5)
Value of \(sinx+sin(\pi+x)++sin(2\pi+x)+\).....upto n terms. [Where n is even integer]
  • 0
  • \(sinx\)
  • -\(sinx\)
  • None of these
Hand draw

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