Home
Class 11
MATHS
Prove that (sin x)/(1+cos x)=tan((x)/(2)...

Prove that `(sin x)/(1+cos x)=tan((x)/(2))`

Text Solution

Verified by Experts

`LHS= (sin x)/((1+ cos x)) = (2 sin .((x)/(2)) cos .((x)/(2)))/(2 cos^(2).((x)/(2))) = tan .(x)/(2) = RHS`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC , OR CIRCULAR, FUNCTIONS

    RS AGGARWAL|Exercise Exercise (15D)|21 Videos

  • THREE-DIMENSIONAL GEOMETRY

    RS AGGARWAL|Exercise EXERCISE 26 C|13 Videos

  • TRIGONOMETRIC EQUATIONS

    RS AGGARWAL|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

(sin2x)/(1+cos2x)=tan x

Prove that (1- sin 2x)/(1+ sin 2x) = tan^(2) .((pi)/(4)-x)

Prove that: (sin x)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=((1)/(2))(tan27x-tan x)

Prove that :(sin x+sin3x)/(cos x+cos3x)=tan2x

Prove that: (1+cos4x)/(cot x-tan x)=(1)/(2)sin4x

Prove that :(sin x-sin y)/(cos x+cos y)=tan((x-y)/(2))

Prove that :(sin x+sin y)/(cos x+cos y)=tan((x+y)/(2))

Prove that (i).(sin 2x)/(1-cos 2x) = cot x" " (ii) .(1- cos 2x)/(1+ cos 2x) = tan^(2) x

Prove that (cos x)/((1- sin x)) = tan .((pi)/(4) + (x)/(2))

(1 + sin x-cos x) / (1 + sin x + cos x) = tan ((x) / (2))