సైన్ ఇన్ చేయడానికి బిజీ పని; కోణం సంకేతం ఒక నిర్దిష్ట సంఖ్యకు సమానం,

arcsin's Usage Examples:

{\displaystyle \Omega ^{*}\arcsin \left(n_{1}\cdot.

) 2 π arcsin ⁡ ( x ) arcsin ⁡ ( 2 x − 1 ) π + 1 2 {\displaystyle F(x){\frac {2}{\pi }}\arcsin \left({\sqrt {x}}\right){\frac {\arcsin(2x-1)}{\pi.

theorem Erdős-Wintner theorem Erdős–Turán inequality Erdős–Ulam problem Erdős–Woods number Hsu–Robbins–Erdős theorem Erdős arcsine law Erdős–Moser equation.

{\displaystyle x\arcsin(\cos \varphi \sin \lambda )\qquad y\arctan \left({\frac {\tan \varphi.

trigonometric function sin−1y sin−1(y), sometimes interpreted as arcsin(y) or arcsine of y, the compositional inverse of the trigonometric function.

h ) 2 r arcsin ⁡ ( h ) {\displaystyle dr\operatorname {archav} (h)2r\arcsin \left({\sqrt {h}}\right)} or more explicitly: d 2 r arcsin ⁡ ( hav ⁡.

arcsine y arcsin(x) x sin(y) −1 ≤ x ≤ 1 −π/2 ≤ y ≤ π/2 −90° ≤ y ≤ 90° arccosine y arccos(x) x cos(y) −1 ≤ x ≤ 1 0 ≤ y ≤ π 0° ≤ y ≤ 180° arctangent.

2 2 arcsin ⁡ ( n cos ⁡ ( arcsin ⁡ ( 1 / n ) ) / cos ⁡ ( e ) ) {\displaystyle \theta _{{\mathfrak {1}}{\mathfrak {3}}{\mathfrak {2}}}2\arcsin \left(n\cos.

{\displaystyle \mu } with semi-vertical angle q arcsin ⁡ ( e α 1 / 2 σ ^ ) , {\displaystyle q\arcsin \left(e_{\alpha }^{1/2}{\hat {\sigma }}\right),}.

{\displaystyle \theta 2\arcsin {b \over 2a}2\arcsin {1 \over 2\varphi.

trigonometric functions can be differentiated using the above identities and the rules of differentiation: d d x sin ⁡ x cos ⁡ x , d d x arcsin ⁡ x 1 1 − x.

In probability theory, the arcsine distribution is the probability distribution whose cumulative distribution function is F ( x ) 2 π arcsin ⁡ ( x ).

∫ u d x 1 2 ( x u + a 2 arcsin ⁡ x a ) ( | x | ≤ | a | ) {\displaystyle \int u\,dx{\frac {1}{2}}\left(xu+a^{2}\arcsin {\frac {x}{a}}\right)\qquad.