Hey guys............Here is my question........ Find number of solutio

1.	Hey guys............Here is my question........ Find number of solutions of this trigonometric equation in the range - 2pi < thita < 2pi
Answer» GIVEN, sin∅ + sin7∅ = sin4∅ sin7∅ + sin∅ = sin4∅ 2sin(∅+7∅)/2 COS(7∅-∅)/2 = sin4∅ 2sin4∅ * cos3∅ = sin4∅ cos3∅ = 1/2 cos3∅ = cosπ/3 $\frac{+}{}$ 3∅= 2nπ π/3 -ve (n=1) 3∅ =5π/3 ∅= 5π/9 or, ∅= π/9

Hey guys............Here is my question........ Find number of solutions of this trigonometric equation in the range - 2pi < thita < 2pi

Answer»

sin∅ + sin7∅ = sin4∅

sin7∅ + sin∅ = sin4∅

2sin(∅+7∅)/2 COS(7∅-∅)/2 = sin4∅

2sin4∅ * cos3∅ = sin4∅

cos3∅ = 1/2

cos3∅ = cosπ/3

$\frac{+}{}$ 3∅= 2nπ π/3

-ve (n=1)

3∅ =5π/3

∅= 5π/9

or,

∅= π/9