Master 2 Essential Trigonometric Identities 📐 | K Stroud Engineering Maths

In this video we cover two more fundamental trig identities to add to the one we learnt in the last video;

sin2 𝜃 + cos2 𝜃 = 1
Two more identities can be derived from the above identity:
1 + tan2 𝜃 = sec2 𝜃
1 + cot2 𝜃 = csc2 𝜃

The significance of an identity is that, in calculation, we may replace either member with the other. We use an identity to give an expression a more convenient form. In calculus and all its applications, the trigonometric identities are of central importance.

Some other identities include;

sin2 θ = 1 − cos2 θ
cos2 θ = 1 − sin2 θ
tan2 θ + 1 = sec2 θ
tan2 θ = sec2 θ − 1
cot2 θ + 1 = csc2 θ
cot2 θ = csc2 θ − 1

Engineering Mathematics Paperback Book – 22 Mar. 2013 by K.A. Stroud (Author), Dexter J. Booth (Author)
https://amzn.to/2XQtbu6

Notes for the lesson
https://www.dropbox.com/s/m3glx20yuv6ohkh/Trigonometry%20Part%202%20Copy.pdf?dl=0

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