" 6."tan^(3)x

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

Show that tan 3 x=(3 tan x-tan ^(3) x)/(1-3 tan ^(2) x)

tan x+tan(x+(pi)/(3))+tan(x+2(pi)/(3))=3 prove that (3tan x-tan^(3)x)/(1-3tan^(2)x)=1

If tan x+tan(x+(pi)/(3))+tan(x+(2 pi)/(3))=3 then prove that (3tan x-tan^(3)x)/(1-3tan^(2)x)=1

int cos ec^(6)xdx is equal to ................ 1) -cot x-(cot^(5)x)/(5)-(2cot^(3)x)/(3)+k 2) -(cot x)/(3)+(2cot^(5)x)/(5)+2cot^(-3)x+k 3) (tan^(3)x)/(3)-(tan x)/(5)+2tan^(3)x+k 4) (tan^(3)x)/(3)-(tan x)/(5)+3tan^(3)x+k

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(x+root(3)(x^(2))+root(6)(x))/(x(1+root(3)(x)))dx is equal to (i)(3)/(2)x(1+root(3)(x))(3)/(2)x^((2)/(3))+6tan^(-1)x^(6)+C( iii) (3)/(2)x^((2)/(3))+6tan^(-1)x^((1)/(6))+C( iv) (2)/(3)x^((2)/(3))+5tan^(-1)x^(6)+C

The value lim_(x to tan^(-1) 3) (tan^6 x- 2tan^5 x - 3tan^4 x)/(tan^2 x -4 tan x+3)

The value of lim_(x rarr(pi)/(3))((tan^(3)x-3*tan x)/(cos(x+(pi)/(6))))