Leadership

Mathematics

Test your understanding of this lesson Compound angles formula cos(A+B), sin(A+B) & sin(A-B):-

1)
If \(\sin\theta+\sin\phi=2\), then which of the following is true for \(\cos(\theta+\phi)\)?
  • 0
  • 1
  • -1
  • 2
2)
Value of 2\(\cos(\frac{\pi}{6}+A)\) is
  • \(\cosA-\sqrt{3}\sinA\)
  • \(\cosA-\sqrt{2}\sinA\)
  • \(\sinA-\sqrt{3}\cosA\)
  • \(\sinA-\sqrt{2}\cosA\)
3)
Value of \(\sin15^{0}+\cos15^{0}\) is
  • \(\frac{\sqrt{3}}{2}\)
  • \(\sqrt{\frac{3}{2}}\)
  • \(\frac{3}{\sqrt{3}}\)
  • None of these
4)
If \(\cos(\alpha+\beta)+1=0\), then \(\cos\alpha+\cos\beta\) is
  • -1
  • 1
  • Undefine
  • 0
5)
If A+B=\(45^{0}\) then \((1+\tan A)(1+\tan B)\) is
  • 1
  • -1
  • -2
  • 2
Hand draw

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