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American chess player (2008)
Xander M. Ultsch
Born Xander Michael Ultsch
(2008-02-13 ) February 13, 2008 (age 16) Tucson, U.S.
Known for Notable work
The Novus Ego Terra Nullius The Novelty-Monotony Balance Nexus Of Balances
Awards Chess career
Country United States Peak rating 990 (September 2023)
Xander Michael Ultsch (; February 13, 2008) is an American chess player and author who has a USCF rating of 990[1] . Along with pursuing chess, Ultsch also spends considerable time researching physics and neuroscience .
Early Life [ edit ]
sin
θ
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1
csc
θ
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cos
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π
2
−
θ
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{\displaystyle \sin \theta ={\frac {1}{\csc \theta }}=\cos \left({\frac {\pi }{2}}-\theta \right)}
cos
θ
=
1
sec
θ
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sin
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π
2
−
θ
)
{\displaystyle \cos \theta ={\frac {1}{\sec \theta }}=\sin \left({\frac {\pi }{2}}-\theta \right)}
sec
θ
=
1
cos
θ
=
csc
(
π
2
−
θ
)
{\displaystyle \sec \theta ={\frac {1}{\cos \theta }}=\csc \left({\frac {\pi }{2}}-\theta \right)}
csc
θ
=
1
sin
θ
=
sec
(
π
2
−
θ
)
{\displaystyle \csc \theta ={\frac {1}{\sin \theta }}=\sec \left({\frac {\pi }{2}}-\theta \right)}
tan
θ
=
1
cot
θ
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cot
(
π
2
−
θ
)
=
sin
θ
cos
θ
{\displaystyle \tan \theta ={\frac {1}{\cot \theta }}=\cot \left({\frac {\pi }{2}}-\theta \right)={\frac {\sin \theta }{\cos \theta }}}
cot
θ
=
1
tan
θ
=
tan
(
π
2
−
θ
)
=
cos
θ
sin
θ
{\displaystyle \cot \theta ={\frac {1}{\tan \theta }}=\tan \left({\frac {\pi }{2}}-\theta \right)={\frac {\cos \theta }{\sin \theta }}}
References [ edit ]