Leadership

Mathematics

Test your understanding of this lesson Formula of Multiple angles:-

1)
If \(\cos\alpha=\frac{2}{3}\), then value of \(\cos2\alpha\) is \(\frac{8}{3}\)
  • \(\frac{1}{3}\)
  • \(\frac{4}{3}\)
  • -\(\frac{1}{9}\)
  • (\frac{8}{3}\)
2)
If \(\sin2\phi=\frac{12}{13}\), then the value of \(\tan\phi\) is
  • \(\frac{2}{3}\)
  • \(\frac{3}{2}\)
  • \(\frac{4}{3}\)
  • \(\frac{3}{4}\)
3)
If \(\sin\theta=\frac{2}{3}\) and \(\frac{\pi}{2}<\theta<\pi\), then the value of \(\cos3\theta\) is
  • \(\frac{7\sqrt{5}}{25}\)
  • \(\frac{6\sqrt{5}}{25}\)
  • \(\frac{5\sqrt{7}}{25}\)
  • \(\frac{5\sqrt{7}}{27}\)
4)
If \(\tan\phi=\frac{1}{3}\), then the value of \(\cos2\phi\) is
  • \(\frac{2}{5}\)
  • \(\frac{3}{5}\)
  • \(\frac{4}{5}\)
  • \(\frac{6}{5}\)
5)
If \(\sin\phi=\frac{4}{5}\) and \(\frac{\pi}{2}<\theta<\frac{3\pi}{4}\), then the value of \(\sin2\phi\) is
  • \(\frac{24}{25}\)
  • -\(\frac{24}{25}\)
  • \(\frac{23}{24}\)
  • -\(\frac{23}{24}\)
Hand draw

Hide

Forgot your password?

Close

Error message here!

Hide

Lost your password? Please enter your email address. You will receive a link to create a new password.

Back to log-in

Close