SOLUTION: Can somebody help me use the half angle formula to simplify the expression of sin4θ/1 + cos 4θ? The slash indicates a fraction. Another view at problem: Thank you. h

Algebra ->  Test -> SOLUTION: Can somebody help me use the half angle formula to simplify the expression of sin4θ/1 + cos 4θ? The slash indicates a fraction. Another view at problem: Thank you. h      Log On


   



Question 1067907: Can somebody help me use the half angle formula to simplify the expression of sin4θ/1 + cos 4θ? The slash indicates a fraction.
Another view at problem: Thank you.
https://s28.postimg.org/t6pfdlajh/sin_4_theta_over_1_plus_cos_4_theta.png


Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
help me use the half angle formula to simplify the expression of sin4θ/1 + cos 4θ? The slash indicates a fraction.
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The numerator sin%284theta%29 = 2%2Asin%282theta%29%2Acos%282theta%29.


The denominator 1%2Bcos%284theta%29 = 2%2Acos%5E2%282theta%29    (the half angle formula for cosine)


Therefore, the ratio  sin%284theta%29%2F%281%2Bcos%284theta%29%29 = sin%282theta%29%2Fcos%282theta%29 = tan%282theta%29.

Solved.