How to solve an equation on the interval 0 2pi

Asked by admin @ 02/12/2021 in Mathematics viewed by 279 People

Solve the equation on the interval [0,2pi] 5sec(x)+7=-3

Answered by admin @ 02/12/2021

Answer:

Hello,

$x\in \bigg\{\dfrac{2\pi}{3} ,\dfrac{4\pi}{3}\bigg\}\\$

Step-by-step explanation:

$5*sec(x)+7=-3\\\\sec(x)=\dfrac{-10}{5} \\\\\dfrac{1}{cos(x)} =-2\\\\cos(x)=-\dfrac{1}{2} \\\\x=120^o\ or\ x=240^o\\$

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