Question 1196768

Q1. 

{{{2cos((pi/4)x)+sqrt(3) =0 }}}

{{{cos((pi/4)x) =-sqrt(3)/2}}}

{{{(pi/4)x=cos^-1(-sqrt(3)/2)}}}

{{{(pi/4)x=(5 /6)pi}}}

{{{x=(5pi /6)/(pi/4)}}}

{{{x = 10/3}}}

general solutions:

{{{x = 8n - 10/3}}},{{{ n}}} element {{{Z}}}
{{{x = 8n +14/3}}}, {{{n }}}element {{{Z}}}


Q2. 

{{{4sin((pi/4)(x+2))+2 =0}}}

{{{sin((pi/4)(x+2)) =-2/4}}}

{{{sin((pi/4)(x+2)) =-1/2}}}

{{{(pi/4)(x+2) =sin^-1(-1/2)}}}

{{{(pi/4)(x+2) =-pi/6}}}

{{{(x+2) =(-pi/6)/(pi/4)}}}

{{{x+2 =-2/3}}}

{{{x =-2/3-2}}}

{{{x =-8/3}}}

general solutions:

{{{x=8n+8/3}}},{{{ n}}} element {{{Z}}}

{{{x=8n+16/3}}},{{{ n}}} element {{{Z}}}