aahilhussaindatoo aahilhussaindatoo
  • 21-04-2022
  • Mathematics
contestada

Solve sec (y + pi/2) = - 2 for 0 < y < pi radians.
Help needed!! anyone?

Respuesta :

loneguy
loneguy loneguy
  • 21-04-2022

[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]

Answer Link

Otras preguntas

I need help with number 8 and 9 someone please help ASAP
When zoocentrists argue that moral status arises from sentience, from which normative ethical theory are they drawing their claim?
20 points + brainless one question. in a thoughtful way give your view of how this study of the history of the United states may help you become a better citize
Two solid yellow lines on the roadway mean that passing is permitted.
What was Pol Pot's leadership role in Cambodia?
What is the volume of the prism
What conflict control method are you exhibiting if you deal with people in a way that does not offend them?A.) being diplomatic B.)being cordial C.)being hostil
What describes the frequency for a wave
The quality of protein in tofu and tempeh is almost identical to that of meat. a. True b. False
what do stabilizing, disruptive, and directional graphs look like and why do they look this way?