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" Q.16."tan^(4)x...

" Q.16."tan^(4)x

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If e^((1+sin^(2)x+sin^(4)x+....oo)log2)=16 then tan^(2)x=

tan^(2)((pi)/(16))+tan^(2)((2 pi)/(16))+tan^(2)((3 pi)/(16))... ..+tan^(2)((7 pi)/(16)/)=35

Prove that: tan4x=(4tan x(1-tan^(2)x))/(1-6tan^(2)x+tan^(4)x)

tan4x=(4tan x(1-tan^(2)x))/(1-6tan^(2)x+tan^(4)x)

tan4x=(4tan x(1-tan^(2)x))/(1-6tan^(2)x+tan^(4)x)

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

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

The expression (tan^(4)x+2tan^(2)x+1)cos^(2)x, whenx =(pi)/(12) can be equal to (a)4(2-sqrt(3)) (b) 4(sqrt(2)+1) (c)16(cos^(2)pi)/(12) (d) 16(sin^(2)pi)/(12)

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

Prove that tan4x=(4tanx(1-tan^(2)x))/(1-6tan^(2)x+tan^(4)x)