sin x equal to cos x what is the possible value of x
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The value of x must be 45degree because value of 45degree of both cos45 and sin45 is same
binnie3105:
1/√2 is the possible value of x
x will be a multiple of 45° and not only 45°
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Given , sin x = cos x
sin² x = cos ² x
1 - cos² x = cos² x
cos² x = 1/2
Hence cos x = ±1/√2
So , x will be of the form 45n (n: integer but ≠0) i.e. x is a multiple of 45°
sin² x = cos ² x
1 - cos² x = cos² x
cos² x = 1/2
Hence cos x = ±1/√2
So , x will be of the form 45n (n: integer but ≠0) i.e. x is a multiple of 45°
niceone
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