2007-12-28 19:17:06 · 15 answers · asked by shanda L 1 in Science & Mathematics ➔ Mathematics
1 - cos ² x = sin ² x
2007-12-28 19:23:14 · answer #1 · answered by Como 7 · 5⤊ 0⤋
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Simplify (1+cos x) (1-cos x)?
2015-08-10 04:49:21 · answer #2 · answered by Lorrie 1 · 0⤊ 0⤋
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Make the following substitutions: x = cos(a) y = sin(a) x / (1 + y) + (1 + y) / x Find a common denominator: x^2 / (x * (1 + y) ) + (1 + y)^2 / ( x * (1 + y) ) [ x^2 + (1 + y)^2 ] / [ x * (1 + y) ] ( x^2 + 1 + 2y + y^2 ) / [ x * (1 + y) ] ******Note: x^2 + y^2 = 1 [ 2 + 2y ] / [ x * (1 + y) ] = 2 * [ 1 + y ] / [ x * (1 + y) ] 2 / x = 2 / cos(a) = 2 * sec(a) Our final answer is 2*sec(a). Hope that helps.
2016-03-27 05:45:44 · answer #3 · answered by Martha 4 · 0⤊ 0⤋
= 1(1 - cos x)+cos x(1 - cos x)
= 1 -cos x + cos x - cos ^2 x
= 1 - cos ^2 x
= sin ^2 x
2007-12-28 19:20:56 · answer #4 · answered by Milind Desai 4 · 3⤊ 0⤋
1-cos^2 x
= sin^2 x
2007-12-28 19:19:51 · answer #5 · answered by ? 2 · 1⤊ 0⤋
1-cos^2 x = sin^2 x
2007-12-28 19:50:59 · answer #6 · answered by who........ 2 · 0⤊ 1⤋
(1+cos x) (1- cos x) = (1-cos^2 x) = sin^2 x
2007-12-28 19:34:30 · answer #7 · answered by Sanam 1 · 0⤊ 1⤋
sin^2(x)
(sin squared of x)
(1+cos x) (1-cos x)
(1-cos^2(x))
sin^2(x)
2007-12-28 19:21:45 · answer #8 · answered by Anonymous · 0⤊ 0⤋
(1+cos x) (1- cos x)
= (1-cos^2 x)
=sin^2 x
Since, sin^2 x+ cos^2x=1
Hence, 1-cos^2x= sin^2x.
2007-12-28 19:30:07 · answer #9 · answered by REVLON 3 · 0⤊ 1⤋
(1+cos x) (1-cos x)
Do FOIL-ing
1 - cosx + cosx - cos^2(x)
1- cos^2(x) which is the same as sin^2(x)
2007-12-28 19:19:22 · answer #10 · answered by ¿ /\/ 馬 ? 7 · 0⤊ 0⤋