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" 6."sec^(-1)((1+tan^(2)x)/(1-tan^(2)x))...

" 6."sec^(-1)((1+tan^(2)x)/(1-tan^(2)x))

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sec^-1((1+tan ^2x)/(1-tan ^2 x))

sec^-1((1+tan ^2x)/(1-tan ^2 x))

For any real number x ge 1 , the expression sec^(2)x ( tan^(-1)x) - tan^(2)x ( sec^(-1) x) is equal to

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)

For any real number x ge 1 , the expression sec^(2) ( tan^(-1)x) - tan^(2) ( sec^(-1) x) is equal to

For any real number x ge 1 , the expression sec^(2) ( tan^(-1)x) - tan^(2) ( sec^(-1) x) is equal to

For any real number x ge 1 , the expression sec^(2) ( tan^(-1)x) - tan^(2) ( sec^(-1) x) is equal to

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