Show that (b-acosC)sinA=acosAsinC - Maths - Trigonometric Functions

Question

Show that (b-acosC)sinA=acosAsinC

Garima · Accepted Answer

Dear Student,

L H S :-

Sin A 1 - Cos A
------------- x --------------
1 + Cos A 1 - Cos A

= Sin A - SinA CosA
------------------------
1 - Cos2 A

= Sin ( 1 - Cos A )
----------------------
Sin2 A
( This is because 1 - Cos2 A = Sin2 A ) &
( Further Sin A and Sin A will get cancel )
= 1 - Cos A
-----------------
Sin A

= R H S

Hope it helps !!!!