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How To Prove Trigonometric Identities - Exercises
In this video we prove some more fundamental trig identities to add to the ones we learnt in the last 2 videos;
sin2 ? + cos2 ? = 1
1 + tan2 ? = sec2 ?
1 + cot2 ? = csc2 ?
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
________________________________________________________________________________________
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sin2 ? + cos2 ? = 1
1 + tan2 ? = sec2 ?
1 + cot2 ? = csc2 ?
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
________________________________________________________________________________________
Hi, I'm Hamed, an Electrical & Electronics Engineering Student in Leeds, UK.
Visit my website at www.hamed.engineer
If you have any questions you can email me at hamed@hamed.engineer or just comment below.
Stuff You May Have Seen In My Videos
Oscilloscope £220: https://amzn.to/30AmFst
Elegoo Arduino Most Complete Kit £50: https://amzn.to/3qFHsoU
Elegoo Arduino Basic Kit £15: https://amzn.to/3qLipRK
Soldering Iron Station £30: https://amzn.to/3qHRWEm
Handheld Oscilloscope £50: https://amzn.to/3l76yMx
DIY Function Generator £9.99: https://amzn.to/30ynTEr
Lavolta Power Supply £60: https://amzn.to/3rHkFue
Eventek Power Supply £60: https://amzn.to/30DCrCO
You Can Also Find The Above For Cheaper On Banggood/Aliexpress
...
https://www.youtube.com/watch?v=LiBBuX279SE
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