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Trigonometry: Product Identities

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First published at 00:24 UTC on November 12th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over the trig product identities and provide a simple proof for them. The identities I cover are listed below:

sin(x)cos(y) = 1/2 [sin(x+y) + sin(x-y)]
cos(x)cos(y) = 1/2[cos(x+y) + cos(x-y)]
sin(x)sin(y) = 1/2[cos(x-y) - cos(x+y)]…

In this video I go over the trig product identities and provide a simple proof for them. The identities I cover are listed below:

sin(x)cos(y) = 1/2 [sin(x+y) + sin(x-y)]
cos(x)cos(y) = 1/2[cos(x+y) + cos(x-y)]
sin(x)sin(y) = 1/2[cos(x-y) - cos(x+y)]

In proving the above identities I make use of the identities which I covered in my earlier video (see the related videos below), specifically the identities for sin(x+/-y) and cos(x+/-y).

Download the notes in my video: http://1drv.ms/1DZu6XH

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/trigonometry-product-identities

Related Videos:

Trigonometry Identities: cos(x +/- y) = cos(x)cos(y) -/+ sin(x)sin(y) : http://youtu.be/VuQczhk7HOs
Trigonometry Identities: sin(x +/- y) = sin(x)cos(y) +/- cos(x)sin(y): http://youtu.be/edtk9thfwbM
Trigonometry Identities: cos(2π + x), sin(2π + x), cos(π/2 -x), sin(π/2 -x): http://youtu.be/EynSefQs308
Half Angle Trigonometry Identities: http://youtu.be/0bY6tHZhBSI .

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