Home > PCT > Chapter Ch6 > Lesson 6.1.3 > Problem 6-41
6-41.
Many times when we are solving trigonometric equations, the solutions are not convenient values on the unit circle where we can find the exact answers. For example, when we solve
Solve
for and calculate a decimal approximation. Is this the only solution between
and ? Use what you know about the symmetry of the sine wave to determine the other solution between and to this trigonometric equation. Use the unit circle and symmetry.
Where else is the
? How can you write this?
Using the same method, find all of the solutions for the domain
. Add
where any integer to both answers above.