Analog/RF IntgCkts

A RFIC designer's notes

Trignometric Identities 2 comments

This entry was posted in RFIC Design Uncategorized on February 2, 2015 by Radio Geek

$\cos^2 \theta = {1 \over 2}(1 + \cos 2\theta)$

$\sin^2 \theta = {1 \over 2}(1 - \cos 2\theta)$

$\cos^3 \theta = {1 \over 4}(3\cos\theta + \cos 3\theta)$

$\sin^3 \theta = {1 \over 4}(3\sin\theta - \sin 3\theta)$

$\sin\alpha \cos\beta = {1\over 2} [\sin(\alpha+\beta) + \sin(\alpha-\beta)]$

$\cos\alpha \cos\beta = {1\over 2} [\cos(\alpha+\beta) + \cos(\alpha-\beta)]$

$(x + y)^3 = x^3 + 3xy^2 + 3x^2 y + y^3$

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2 thoughts on “Trignometric Identities”

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sreeni April 1, 2015 at 4:30 am

It is very appreciated thing to put very good fundamentals which are unknown to so many. This blog is very helpful to us. Please publish some more topics related RF calibration mechanisms. Small correction SIN^3 formulae is 3SIN instead of 3COS. I think it is typo error. very good effort
- Reply ↓
  
  RF Geek April 4, 2015 at 3:41 am
  
  Thank you for correcting the mistake Srini. Your feedback will be taken into consideration for future posts