The equation 3sinx+cos^2x=2 is solved below ! !

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side.

(A²-3A+2.25)=-1+2.25

Rewrite as perfect squares

(+/-)(A-1.5)=1.12

first solution

(A-1.5)=1.12> A=1.12+1.5> A=2.62> sin x=2.62

second solution

-(A-1.5)=1.12> -A+1.5=1.12> A=1.5-1.12> A=0.38---> sin x=0.38

the answer is

the equation was factored incorrectly

just needed some points but try socratic

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents