Instrucciones: Responde las siguientes preguntas.

• Identifica la identidad correcta.
  • \(\displaystyle \tan \left ( 2x \right ) = \frac{1+2 \tan \left ( x \right )}{1- \tan \left ( x \right )}\)
  • \(\displaystyle \tan \left ( 2x \right ) = \frac{1- \tan \left ( x \right )}{1+2 \tan \left ( x \right )}\)
  • \(\displaystyle \tan \left ( 2x \right ) = \frac{1- \tan^{2} \left ( x \right )}{2\tan \left ( x \right )}\)
  • \(\displaystyle \tan \left ( 2x \right ) = \frac{2\tan \left ( x \right )}{1- \tan^{2} \left ( x \right )}\)

• Identifica la identidad correcta.
  • \(\mbox{sen} \left ( 2x \right ) = 2\cos^{2} \left ( x \right ) -1\)
  • \(\mbox{sen} \left ( 2x \right ) = 1-2\mbox{sen}^{2} \left ( x \right )\)
  • \(\mbox{sen} \left ( 2x \right ) = \mbox{sen}^{3} \left ( x \right ) - \cos^{3} \left ( x \right )\)
  • \(\mbox{sen} \left ( 2x \right ) = 2\mbox{sen} \left ( x \right ) \cos \left ( x \right )\)

• Identifica la identidad correcta.
  • \(\displaystyle \tan \left ( 58^{\circ} \right ) = \frac{2\tan \left ( 29^{\circ} \right )}{1- \tan^{2} \left ( 29^{\circ} \right )}\)
  • \(\displaystyle \tan \left ( 58^{\circ} \right ) = \frac{1- \tan^{2} \left ( 29^{\circ} \right )}{2\tan \left ( 29^{\circ} \right )}\)
  • \(\displaystyle \tan \left ( 58^{\circ} \right ) = \frac{1- \tan \left ( 29^{\circ} \right )}{1+2\tan \left ( 29^{\circ} \right )}\)
  • \(\displaystyle \tan \left ( 58^{\circ} \right ) = \frac{1+2\tan \left ( 29^{\circ} \right )}{1- \tan \left ( 29^{\circ} \right )}\)

• Identifica la identidad correcta.
  • \(\mbox{sen} \left ( 48^{\circ} \right ) = \mbox{sen}^{3} \left ( 24^{\circ} \right ) - \cos^{3} \left ( 24^{\circ} \right )\)
  • \(\mbox{sen} \left ( 48^{\circ} \right ) = 2\mbox{sen} \left ( 24^{\circ} \right ) \cos \left ( 24^{\circ} \right )\)
  • \(\mbox{sen} \left ( 48^{\circ} \right ) = 2\cos^{2} \left ( 24^{\circ} \right ) -1\)
  • \(\mbox{sen} \left ( 48^{\circ} \right ) = 1-2\mbox{sen}^{2} \left ( 24^{\circ} \right )\)

• Identifica la identidad correcta.
  • \(\displaystyle \cos \left ( 2x \right ) = \sqrt{\frac{1+2\mbox{sen} \left ( x \right )}{1- \cos \left ( x \right )}}\)
  • \(\cos \left ( 2x \right ) = \mbox{sen}^{3} \left ( x \right ) - \cos^{3} \left ( x \right )\)
  • \(\cos \left ( 2x \right ) = 2\mbox{sen} \left ( x \right ) \cos \left ( x \right )\)
  • \(\cos \left ( 2x \right ) = 2\cos^{2} \left ( x \right ) -1\)