Mathematics

Eleven Standard

Test your understanding of this lesson Compound angles | Introduction:-

1)
Value of cos\(105^{0}\) is
  • \(\frac{1-\sqrt{3}}{2\sqrt{2}}\)
  • \(\frac{1+\sqrt{3}}{2\sqrt{2}}\)
  • \(\frac{1+\sqrt{2}}{2\sqrt{2}}\)
  • \(\frac{1-\sqrt{2}}{2\sqrt{2}}\)
2)
Value of sin\(63^{0}32'\)sin\(33^{0}32'\)+sin\(26^{0}28'\)sin\(56^{0}28'\)
  • \(\sqrt{3}\)
  • -\(\sqrt{3}\)
  • \(\frac{\sqrt{3}}{2}\)
  • \(\frac{1}{\sqrt{3}}\)
3)
Value of cos(A+B)cos(A-B) is
  • \(sin^{2}A-sin^{2}B\)
  • \(cos^{2}A-cos^{2}B\)
  • \(cos^{2}A-sin^{2}B\)
  • \(cos^{2}B-sin^{2}A\)
4)
If sinA=\(\frac{3}{5}\) and cosB=-\(\frac{12}{13}\), where A and B both lies in second quadrant, then the value of sin(A+B)
  • \(\frac{56}{65}\)
  • -\(\frac{56}{65}\)
  • \(\frac{65}{56}\)
  • -\(\frac{65}{56}\)
5)
If sinA+sinB=2, then which of the following is the value of sin(A+B)?
  • 2
  • 0
  • 4
  • -1

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