Simplify the expression cos(2x) + 2sin^2x.
2007-09-04 20:06:27 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Identity: 1 = cos²x + sin² x
cos²x = 1 - sin²x
sin²x = 1 - cos²x
cos(2x) = cos²x - sin²x = 1 - sin²x - sin²x = 1 - 2sin²x
cos(2x) + 2sin²x = 1 - 2sin²x + 2sin²x = 1...
2007-09-04 20:13:52 · answer #1 · answered by forgetfulpcspice 3 · 0⤊ 0⤋
Presentation is open to doubt consequently of loss of brackets. AS GIVEN it may choose to be learn as :- 4 + 2 + 25/2 - a million 5 + 25/2 35/2 besides the incontrovertible fact that it is going to be which you propose :- ( 4 + 3 + 25 ) / ( 2 - a million ) = 32
2016-12-16 11:50:52 · answer #2 · answered by kirk 4 · 0⤊ 0⤋
cos(2x) + 2sin^2 (x)
= 1 -- 2 sin^2 (x) + 2 sin^2 (x)
= 1
2007-09-04 20:15:16 · answer #3 · answered by sv 7 · 0⤊ 0⤋
cos(2x) = cos^2 (x) - sin^2 (x)
cos(2x) + 2 sin^2 (x) = cos^2(x) - sin^2(x) + 2sin^2(x) =
= cos^2(x) + sin^2 (x) = 1
2007-09-04 20:12:45 · answer #4 · answered by Amit Y 5 · 0⤊ 0⤋
use ur trigonomeric identities...
2007-09-04 20:13:00 · answer #5 · answered by jara 3 · 0⤊ 0⤋