" 2ues "^(-1)(cos x)=tan^(4)(2cosen x)

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If 2tan^(-1)(cos x)=tan^(-1)(2cos ecx) then sin x+cos x=

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2 tan ^(-1) (Cos x) = tan ^(-1) (2 "cosec"x)

2tan ^ (- 1) (cos x) = tan ^ (- 1) (2cos ecx)

show that, tan^(-1) ((1)/(sqrt(3)) tan ""(x)/(2))=(1)/(2) cos^(-1) ""((1+2 cos x)/(2+ cos x)).

tan^(-1)((1)/(sqrt(3))(tan x)/(2))=(1)/(2)cos^(-1)((1+2cos x)/(2+cos x))

(1)/(2)cos ^(-1)""((5 cos x +3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan ""(x)/(2))

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(1)/(2)cos^(-1)((5cos x+3)/(5+3cos x))=tan^(-1)((1)/(2)(tan x)/(2))