The trigonometric equation is and the interval is .
Consider .
.
The general solution of is , where is an integer.
Divide each side by 2.
.
General solution is , where is an integer.
Find the angle in the interval .
General solution is , where is an integer.
If , .
If , .
If , .
If , .
Thus, the solutions are , , and in the interval .
Check graphically :
The trigonometric equation is .
Rewite the equation as .
Draw a coordinate plane.
Graph the equation in the interval .
Graph :
Observe the graph of the function :
The graph touches the x - axis at , , and .
Convert the angles from radians to degrees.
Thus, the solutions are , , and in the interval .
The solutions are , , and in the interval .
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
"Your site is amazing! It helped me get through Algebra." Charles |
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |