If `x=30^@` , verify that : (i) `tan2x=(2tanx)/(1-tan^2x)` (ii) `sinx=sqrt((1-cos2x)/2)`

If x=30o, verify that : tan2x=(2tan x)/(1-tan^(2)x) (ii) sin x=sqrt((1-cos2x)/(2))

Prove that tan2x=(2tanx)/(1-tan^2 x)

If A= 30^@ verify that :- cos2A= (1-tan^2A)/(1+tan^2A) .

If A=30^(@) , verify that (i) sin2A=(2tanA)/(1+tan^(2)A) (ii) cos2A=(1-tan^(2)A)/(1+tan^(2)A) (iii) tan2A=(2tanA)/(1-tan^(2)A)

tanx + tan2x + tanxtan2x=1

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

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

If /_A=30^(@), verify each of the following (i)sin2A=(tan A)/(1+tan^(2)A)(ii)cos A=(1-tan^(2)A)/(1+tan^(2)A)

f((2tan x)/(1+tan^(2)x))=((cos2x+1)(sec^(2)x+2tan x))/(2)

Evaluate: (i) int(tan x+cot x)^(2)dx (ii) int(1-cos2x)/(1+cos2x)dx