Question

if tan alpha+sin alpha =m and tan alpha -sin alpha =n then m^2-n^2​

Answer 1

Answer:

tan alpha + sin alpha=M and

tan alpha - sin alpha = n then

m^2 - n^2 =?

Step-by-step explanation:

m^2-n^2 = (tan alpha + sin alpha )^2 - ( tan alpha - sin alpha ) ^2

= tan^2 alpha + 2. tan alpha .sin alpha + sin^2 alpha - ( tan^2 alpha -

2.tan alpha. sin alpha + sin^2 alpha )

= tan^2 alpha + 2.tan alpha .sin alpha + sin^2 alpha - tan^2 alpha + 2. tan alpha .sin alpha - sin^2 alpha

= 4. tan^2 alpha . sin^2 alpha ans