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Easy proof of 🔥 sin x + sin y 🔥 cos x + cos y 🔥 sin x - sin y 🔥cos x - cos y by #mathemafia
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Hey Students!!! 🧑🎓 🤠 👩🎓
In this tutorial you will learn a very easy proof of four very important trigonometric identity:
1) sin x + sin y = 2 sin (x+y)/2 cos (x-y)/2
2) sin x - sin y = 2 cos (x+y)/2 sin (x-y)/2
3) cos x + cos y = 2 cos (x+y)/2 cos (x-y)/2
4) cos x - cos y = - 2 sin (x+y)/2 sin (x-y)/2
This identity can also be written as
1) sin a + sin b = 2 sin (a+b)/2 cos (a-b)/2
2) sin a - sin b = 2 cos (a+b)/2 sin (a-b)/2
3) cos a + cos b = 2 cos (a+b)/2 cos (a-b)/2
4) cos a - cos b = - 2 sin (a+b)/2 sin (a-b)/2
00:00 What' in it
00:30 Proof of sin x + sin y = 2 sin (x+y)/2 cos (x-y)/2
04:47 Proof of sin x - sin y = 2 cos (x+y)/2 sin (x-y)/2
06:44 Proof of cos x + cos y = 2 cos (x+y)/2 cos (x-y)/2
08:40 Proof of cos x - cos y = - 2 sin (x+y)/2 sin (x-y)/2
#trigonometry #trigonometricidentities #mathsbysunilsir #mathsbysunilsyal #maths #class11maths #class11mathematics #highermathematics #advancedmaths #class12mathematics #class12maths #mathsinhindi #class11mathsinhindi #class12mathsinhindi #trigonometricfunctions #trigonometricformula #identitiesofsine #identitiesofcosine #sinandcos #tan2x #identitiesoftan
In this tutorial you will learn a very easy proof of four very important trigonometric identity:
1) sin x + sin y = 2 sin (x+y)/2 cos (x-y)/2
2) sin x - sin y = 2 cos (x+y)/2 sin (x-y)/2
3) cos x + cos y = 2 cos (x+y)/2 cos (x-y)/2
4) cos x - cos y = - 2 sin (x+y)/2 sin (x-y)/2
This identity can also be written as
1) sin a + sin b = 2 sin (a+b)/2 cos (a-b)/2
2) sin a - sin b = 2 cos (a+b)/2 sin (a-b)/2
3) cos a + cos b = 2 cos (a+b)/2 cos (a-b)/2
4) cos a - cos b = - 2 sin (a+b)/2 sin (a-b)/2
00:00 What' in it
00:30 Proof of sin x + sin y = 2 sin (x+y)/2 cos (x-y)/2
04:47 Proof of sin x - sin y = 2 cos (x+y)/2 sin (x-y)/2
06:44 Proof of cos x + cos y = 2 cos (x+y)/2 cos (x-y)/2
08:40 Proof of cos x - cos y = - 2 sin (x+y)/2 sin (x-y)/2
#trigonometry #trigonometricidentities #mathsbysunilsir #mathsbysunilsyal #maths #class11maths #class11mathematics #highermathematics #advancedmaths #class12mathematics #class12maths #mathsinhindi #class11mathsinhindi #class12mathsinhindi #trigonometricfunctions #trigonometricformula #identitiesofsine #identitiesofcosine #sinandcos #tan2x #identitiesoftan
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