TRIGONOMETRIC EQUATIONS - Exercise 4 TRIGONOMETRIC EQUATIONS - Exercise 4
Solve the equation 
. Restrict
solutions to the interval 
.
Solution: The substitution 
yields the equation
, which is quadratic in u.
We use the quadratic formula
to solve for :
If 
the calculator gives x=1.1191 as the acute
solution, so we deduce that the other solution is
. The equation 
has no solutions,
since 
for all x. The solution set is therefore
.
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Luis Valdez-Sanchez