Question 260474
Solve for all values of x:
a) {{{3*cos(x) - 3 = cos(x)-4}}}
step 1 - subtract cosx to get
 {{{2cos(x) - 3 = -4}}}
step 2 - add 3 to get
{{{2cos(x) = -1}}}
step 3 - divide by 2 to get
{{{cos(x) = -1/2}}}
x = 2pi/3, or 4pi/3.
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b) {{{-4sinx+sqrt(2)=-2sinx +2*sqrt(2)}}}
step 1 - add 4 sinx to get
{{{sqrt(2) = 2sin(x) +2sqrt(2)}}}
step 2 - subtract 2 sqrt(2) to get
{{{-sqrt(2) = 2sin(x)}}}
divide by 2 to get
 {{{(-1/2)sqrt(2) = sin(x)}}}
x = 3pi/4 and 5pi/4