tan 4x = (4 tan x (1- tan ^(2) x ))/( 1 ...

`tan 4x = (4 tan x (1- tan ^(2) x ))/( 1 - 6 yan ^(2) x + tan ^(4) x)`

Answer

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int (e^(x) (x^(2) tan^(-1) x + tan^(-1) x + 1))/( x^(2) + 1) dx is

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NCERT TAMIL-TRIGONOMETRIC FUNCTIONS -EXERCISE 3.3

Prove that cos (pi/4-x) cos (pi/4-y)- sin (pi/4-x) sin(pi/4-y) =si...
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(tan ((pi)/(4) +4))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x ))...
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(cos (pi +x) cos (-x))/( sin (pi -x) cos ((pi )/(2) + x))= cot ^(2) x
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cos ((3pi )/( 2 ) + x) cos (2pi + x) [cot ((3pi)/( 2)- x ) + cot (2pi ...
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sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x
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Prove that cos ((3pi)/(4)+x)-cos ((3pi)/(4)-x)=-sqrt2 sin x
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sin ^(2) 6x - sin ^(2) 4x = sin 2x sin 10x
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cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x
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sin 3 x + 2 csin 4x + sin 6x = 4 cos ^(2) x sin 4x
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cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)
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(cos 9x - cos 5x )/( sin 17 x- sin 3x )=- (sin 2x)/( cos 10x )
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(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x
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(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)
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(sin x + sin 3x )/( cos x + cos 3x )= tan 2x
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(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x
03:47
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(cos 4x +cos 3x + cos 2x )/( sin 4x + sin 3x + sin 2x)= cot 3x
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cot x cot 2x - cot 2x cot 3x - cot 3x cot x=1
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tan 4x = (4 tan x (1- tan ^(2) x ))/( 1 - 6 yan ^(2) x + tan ^(4) x)
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cos 4x =1- 8 sin ^(2) x cos ^(2) x
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cos 6x = 32 cos ^(6) x - 48 cos ^(4) x + 18 cos ^(2) x-1
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