Prove that (sin (x +y) )/( sin (x-y))...

Prove that
` (sin (x +y) )/( sin (x-y)) = (tan x + tan y)/( tan x - tan y).`

TRIGONOMETRIC FUNCTIONS
NCERT BANGLISH|Exercise EXERCISE 3.1|7 Videos
TRIGONOMETRIC FUNCTIONS
NCERT BANGLISH|Exercise EXERCISE 3.2|10 Videos
STRAIGHT LINES
NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 10|24 Videos

Similar Questions

Explore conceptually related problems

If (sin (x+y))/(sin (x-y)) =(a+b)/(a-b), then the value of (tan x)/(tany) is-

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

Find (dy)/(dx) if:- x = sin t,y= tan t

y = a tan^(-1) x + b

(dy)/(dx) = y tan x, y = 1 when x = 0

If sin(y+z-x), sin (z+x-y) and sin (x+y-z) are in A.P., show that tan x, tan y and tan z are also in A.P.

Prove that, tan^(-1)((3 sin 2x)/(5+3 cos 2x))+tan^(-1)((1)/(4) tan x)=x .

Prove that sin cot^(-1) tan cos^(-1) x = sin cosec^(-1) cot tan^(-1) x = x, " where " x in [0,1]

Eliminate x and y from the following equations : a sin ^(2)+ b cos^(2) x=c, b sin ^(2) y+ a cos^(2) y=d, a tan x= b tan y .

If tan 3x.tan 3y = 1, then sin(x+y)=?