" 6."tan^(4)x

tan^(6)x

Prove that :sec^(6)x-tan^(6)x-3sec^(2)x" ."tan^(2)x=1

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)

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

A:int_(0)^(pi//4)(tan^(6)x+tan^(4)x)dx=(1)/(5) R:int_(0)^(pi//4)(tan^(n)x+tan^(n-2)x)dx=(1)/(n-1)

Let f(x)=7tan^(8)x+7tan^(6)x-3tan^(4)x-3tan^(2)x for all x in(-(pi)/(2),(pi)/(2)) . Then the correct expression(s) is (are)-

Let f (x) = 7 tan ^(8) x + 7 tan ^(6) x - 3 tan ^(4) x - 3 tan ^(2) x for all x in (-(pi)/(2), (pi)/(2)). Then the correct expression(s) is (are).

int (1+tan^(2)x + tan^(4)x+tan^6 x)dx=

Lt_(x to 0) (tan^(4)x-sin^(4)x)/(x^(6))=