The angle is .
Let the angle, is half of ; so .
(Write trigonometric function)
(Substitute )
(Apply half angle formula: )
(Substitute ) (Apply LCM rule: )
(Simplify)
(Simplify)
The angle lies in quadrant II, the function is positive in quadrant II, so .
(Write trigonometric function)
(Substitute )
(Apply half angle formula: )
(Substitute )
(Apply LCM rule: )
(Simplify)
(Simplify)
The angle lies in quadrant II, the function is negative in quadrant II, so .
(Write trigonometric function)
(Substitute )
(Apply half angle formula: )
(Substitute )
(Substitute )
(Apply LCM rule: )
(Simplify)
The solutions are .
"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 |