TRIGONOMETRIC EQUATIONS - Exercise 4

Solve the equation tex2html_wrap_inline65 . Restrict solutions to the interval tex2html_wrap_inline67 .

Solution: The substitution tex2html_wrap_inline69 yields the equation tex2html_wrap_inline71 , which is quadratic in u. We use the quadratic formula to solve for tex2html_wrap_inline69 :

displaymath63

If tex2html_wrap_inline77 the calculator gives x=1.1191 as the acute solution, so we deduce that the other solution is tex2html_wrap_inline81 . The equation tex2html_wrap_inline83 has no solutions, since tex2html_wrap_inline85 for all x. The solution set is therefore tex2html_wrap_inline89 .

[Trigonometry] [Back] [Next]
[Geometry] [Algebra] [Differential Equations]
[Calculus] [Complex Variables] [Matrix Algebra]

S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Luis Valdez-Sanchez
Tue Dec 3 17:39:00 MST 1996

Copyright © 1999-2024 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour