Vectors

Trigonometry equalities, inequalities and expressions - sin, cos, tan, cot

Vectors

Postby nycmath » Wed Aug 26, 2026 11:18 am

See attachment. Enjoy.
Attachments
20260826_111258.jpg
20260826_111258.jpg (1.96 MiB) Viewed 142 times
nycmath
 
Posts: 1873
Joined: Mon Aug 10, 2026 10:40 pm
Reputation: 70

Re: Vectors

Postby Eigenvalue » Wed Aug 26, 2026 9:33 pm

A. [tex]\sqrt{(3)²+(4)²}[/tex]=5
B.[tex]\sqrt{(-4)²+(2)²}[/tex]=2[tex]\sqrt{5}[/tex]
C.[tex]\sqrt{(-6)²+(-6)²}[/tex]=6[tex]\sqrt{2}[/tex]
D.[tex]\sqrt{ (\frac{3}{4})²+( \frac{-1}{2})² }[/tex]=[tex]\sqrt{ \frac{13}{16} }[/tex]=[tex]\frac{ \sqrt{13} }{4}[/tex]
Attachments
IMG_20260826_203218~2.jpg
IMG_20260826_203218~2.jpg (943.38 KiB) Viewed 133 times

Eigenvalue
 
Posts: 1062
Joined: Mon Aug 10, 2026 10:38 pm
Reputation: 391

Re: Vectors

Postby Eigenvalue » Wed Aug 26, 2026 9:34 pm

Additional sketch:
Attachments
IMG_20260826_203050~2.jpg
IMG_20260826_203050~2.jpg (385.61 KiB) Viewed 133 times

Eigenvalue
 
Posts: 1062
Joined: Mon Aug 10, 2026 10:38 pm
Reputation: 391

Re: Vectors

Postby nycmath » Thu Aug 27, 2026 4:46 am

Eigenvalue wrote:A. [tex]\sqrt{(3)²+(4)²}[/tex]=5
B.[tex]\sqrt{(-4)²+(2)²}[/tex]=2[tex]\sqrt{5}[/tex]
C.[tex]\sqrt{(-6)²+(-6)²}[/tex]=6[tex]\sqrt{2}[/tex]
D.[tex]\sqrt{ (\frac{3}{4})²+( \frac{-1}{2})² }[/tex]=[tex]\sqrt{ \frac{13}{16} }[/tex]=[tex]\frac{ \sqrt{13} }{4}[/tex]


Correct. A nice geometric interpretation of vectors.

nycmath
 
Posts: 1873
Joined: Mon Aug 10, 2026 10:40 pm
Reputation: 70

Re: Vectors

Postby nycmath » Thu Aug 27, 2026 4:47 am

Eigenvalue wrote:Additional sketch:


Vectors are cool.

nycmath
 
Posts: 1873
Joined: Mon Aug 10, 2026 10:40 pm
Reputation: 70


Return to Trigonometry - sin, cos, tan, cot, arcsin, arccos, arctan, arccot



Who is online

Users browsing this forum: No registered users and 1 guest