Trigonometric Prove

Trigonometric Prove

Postby nycmath » Fri Aug 28, 2026 10:37 am

See attachment.
Attachments
20260828_103121.jpg
20260828_103121.jpg (1.18 MiB) Viewed 8 times
nycmath
 
Posts: 641
Joined: Mon Aug 10, 2026 10:40 pm
Reputation: 11

Re: Trigonometric Prove

Postby Guest » Fri Aug 28, 2026 11:46 pm

cos 2[tex]\varphi[/tex]= cos 2[tex]\varphi[/tex]

cos 2[tex]\varphi[/tex]= [tex]cos^{2 } \varphi -sin^{2 } \varphi[/tex]

cos 2[tex]\varphi[/tex]= [tex]\frac{ cos^{2 } \varphi - sin^{2 } \varphi }{1}[/tex]

cos 2[tex]\varphi[/tex]= [tex]\frac{ cos^{2 } \varphi -sin^{2 } \varphi }{ cos^{2 } \varphi + sin^{2 } \varphi } . \frac{ cos^{2 } \varphi }{ cos^{2 } \varphi }[/tex]

cos 2[tex]\varphi[/tex]=[tex]\frac{ \frac{ cos^{2 } \varphi -sin^{2 } \varphi }{ cos^{2 } \varphi } }{ \frac{ cos^{2 } \varphi +sin^{2 } \varphi }{ cos^{2 } \varphi } }[/tex]

cos 2[tex]\varphi[/tex]= [tex]\frac{1 -( \frac{sin \varphi }{cos \varphi }) ^{2 } }{1 + (\frac{sin \varphi }{cos \varphi }) ^{2 } }[/tex]

cos 2[tex]\varphi[/tex]= [tex]\frac{1- tg^{2 } \varphi }{1+ tg^{2 } \varphi }[/tex]

cos 2[tex]\varphi[/tex]= [tex]\frac{1- z^{2 } }{1+ z^{2 } }[/tex] :wink:
Guest
 


Return to Trigonometry, Pythagoras' Theorem, Sine Rule, Cosine Rule



Who is online

Users browsing this forum: No registered users and 1 guest