Mathematics

Eleven Standard

Test your understanding of this lesson Trigonometric ratios of angle \\(cos36^{0}\\):-

1)
The value \(\cos^{2}\Big(\frac{3\pi}{5}\Big)+\cos^{2}\Big(\frac{4\pi}{5}\Big)\)
  • \(\frac{2}{3}\)
  • \(\frac{3}{4}\)
  • \(\frac{4}{5}\)
  • \(\frac{5}{4}\)
2)
The numerical value of \(\cos\frac{\pi}{5}\cos\frac{2\pi}{5}\) is
  • \(\frac{1}{2}\)
  • \(\frac{1}{4}\)
  • \(\frac{1}{4}\)
  • \(\frac{1}{16}\)
3)
Which of the following is rational number
  • \(\sin 15^{o}\)
  • \(\cos 15^{o}\)
  • \(\sin 15^{o}\cos 15^{o}\)
  • \(\sin 15^{o}\cos 75^{o}\)
4)
Value of \(\cot^2 36^{o}\cot^2 72^{o}\) is
  • \(\frac{1}{5}\)
  • \(\frac{1}{6}\)
  • \(\frac{1}{7}\)
  • \(\frac{1}{4}\)
5)
Value of \(\cos^2 24^{o}-\sin^2 6^{o}\)
  • \(\frac{\sqrt{5}+1}{4}\)
  • \(\frac{\sqrt{5}-1}{4}\)
  • \(\frac{\sqrt{5}+1}{8}\)
  • \(\frac{\sqrt{5}-1}{8}\)

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