√((1+cos2x)/2).....Can X take in any real value?

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√((1+cos2x)/2).....Can X take in any real value?

2007-09-03 08:50:46 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

√((1+cos2x)/2)=√((2(sin x)^2)/2)=√((sin x)^2)=|sin x| which can take any real value of x as sin x is defines for all real x. Range of F(x) varies from 0 to 1.

2007-09-03 08:57:19 · answer #1 · answered by Abhinesh 4 · 0⤊ 0⤋

yes, the cos(2x) function, with x in radians is defined along the whole real line, so it can take any real x values

2007-09-03 15:56:06 · answer #2 · answered by vlee1225 6 · 0⤊ 0⤋

1+cos 2x >=0 so cos 2x >=-1 which is true for all x

2007-09-03 15:57:19 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋