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advanced trigonometry and quadratics?
a) solve for -90<x<90
tan x=3sin x
b) 4x^2+px+2p=0
where p is a positive constant. find the values of p for which this equation has equal roots.
1 Answer
- Ed ILv 79 years agoFavorite Answer
a) tan x = 3 sin x
sin x/cos x = 3 sin x
sin x = 3 sin x cos x
sin x - 3 sin x cos x = 0
sin x (1 - 3 cos x) = 0
sin x = 0 or 1 - 3 cos x = 0
x = 0°...........1 = 3 cos x
...................1/3 = cos x
......................± 70.59° = x
b) 4x^2 + px + 2p = 0
D = p^2 - 4(4)(2p) = 0
p^2 - 32p = 0
p(p - 32) = 0
p = 0 or p - 32 = 0
.................p = 32
