If 3sin alpha= 5sin beta
then tan(alpha+beta/2) upon tan (alpha - beta/2) equals ?
a. 1. b. 2. c. 3. d. 4

I want answer with full solution.

Question

If 3sin alpha= 5sin beta
then tan(alpha+beta/2) upon tan (alpha - beta/2) equals ?
a 1 b 2 c 3 d 4

I want answer with full solution

Ashwini Kumar · Accepted Answer

We have,3sinα=5sinβ⇒sinαsinβ=53⇒sinα+sinβsinα-sinβ=5+35-3     Using componendo and dividendo⇒2sinα+β2cosα-β22cosα+β2sinα-β2=82⇒tanα+β2tanα-β2=4Hence, d is correct option

If 3sin alpha= 5sin beta then tan(alpha+beta/2) upon tan (alpha - beta/2) equals ? a. 1. b. 2. c. 3. d. 4 I want answer with full solution.

If 3sin alpha= 5sin beta
then tan(alpha+beta/2) upon tan (alpha - beta/2) equals ?
a. 1. b. 2. c. 3. d. 4

I want answer with full solution.