COS-B was the first European Space Research Organisation (ESRO) mission to study cosmic gamma ray sources. COS-B was first put forward by the European...

b 2 − 2 a b cos ⁡ γ , a 2 = b 2 + c 2 − 2 b c cos ⁡ α , b 2 = a 2 + c 2 − 2 a c cos ⁡ β . {\displaystyle {\begin{aligned}c^{2}&=a^{2}+b^{2}-2ab\cos \gamma...

cosine rule: cos ⁡ a = cos ⁡ b cos ⁡ c + sin ⁡ b sin ⁡ c cos ⁡ A , cos ⁡ b = cos ⁡ c cos ⁡ a + sin ⁡ c sin ⁡ a cos ⁡ B , cos ⁡ c = cos ⁡ a cos ⁡ b + sin ⁡...

cos ⁡ a cos ⁡ b + sin ⁡ a sin ⁡ b cos ⁡ C {\displaystyle \cos c=\cos a\cos b+\sin a\sin b\cos C\,} Since this is a unit sphere, the lengths a, b, and c...

manifestly, cos ⁡ c = cos ⁡ a cos ⁡ b − n ^ ⋅ m ^ sin ⁡ a sin ⁡ b   , {\displaystyle \cos c=\cos a\cos b-{\hat {n}}\cdot {\hat {m}}\sin a\sin b~,} the spherical...

a\cos b+\cos a\sin b+\sin a\cos b-\cos a\sin b\\[5mu]&\quad =2\sin a\cos b\\[15mu]&\cos(a+b)+\cos(a-b)\\[5mu]&\quad =\cos a\cos b-\sin a\sin b+\cos a\cos...

"∓" sign: cos ⁡ ( A ± B ) = cos ⁡ ( A ) cos ⁡ ( B ) ∓ sin ⁡ ( A ) sin ⁡ ( B ) {\displaystyle \cos(A\pm B)=\cos(A)\cos(B)\mp \sin(A)\sin(B)} which represents...

sin 2 A = 1 − ( cos ⁡ a − cos ⁡ b cos ⁡ c sin ⁡ b sin ⁡ c ) 2 = ( 1 − cos 2 b ) ( 1 − cos 2 c ) − ( cos ⁡ a − cos ⁡ b cos ⁡ c ) 2 sin 2 b sin 2 c sin ⁡...

cos ⁡ b tan ⁡ C , (Q3) sin ⁡ B = sin ⁡ b sin ⁡ C , (Q8) cos ⁡ a = sin ⁡ b cos ⁡ A , (Q4) tan ⁡ A = tan ⁡ a sin ⁡ B , (Q9) cos ⁡ b = sin ⁡ a cos ⁡ B ...

cosines: cos ⁡ ( c ) = cos ⁡ ( a ) cos ⁡ ( b ) + sin ⁡ ( a ) sin ⁡ ( b ) cos ⁡ ( C ) . {\displaystyle \cos(c)=\cos(a)\cos(b)+\sin(a)\sin(b)\cos(C).\,} As...

sin ⁡ ( b ) + cos ⁡ ( δ NGP ) cos ⁡ ( b ) cos ⁡ ( l NCP − l ) cos ⁡ ( δ ) sin ⁡ ( α − α NGP ) = cos ⁡ ( b ) sin ⁡ ( l NCP − l ) cos ⁡ ( δ ) cos ⁡ ( α −...

cos ⁡ A + t cos ⁡ B cos ⁡ C : cos ⁡ B + t cos ⁡ C cos ⁡ A : cos ⁡ C + t cos ⁡ A cos ⁡ B {\displaystyle \cos A+t\cos B\cos C:\cos B+t\cos C\cos A:\cos...

= cos ⁡ A − sin ⁡ B sin ⁡ C : cos ⁡ B − sin ⁡ C sin ⁡ A : cos ⁡ C − sin ⁡ A sin ⁡ B , {\displaystyle {\begin{aligned}&\sec A:\sec B:\sec C\\&=\cos A-\sin...

acute: cos ⁡ A   : cos ⁡ B   : cos ⁡ C if  ∡ A  is obtuse: cos ⁡ A + sec ⁡ B sec ⁡ C : cos ⁡ B − sec ⁡ B : cos ⁡ C − sec ⁡ C if  ∡ B  is obtuse: cos ⁡ A...

( − cos ⁡ t ) + 2 B 0 sin ⁡ t + 2 ( 2 B 0 t + B 1 ) cos ⁡ t + ( B 0 t 2 + B 1 t ) ( − sin ⁡ t ) ] + [ ( A 0 t 2 + A 1 t ) cos ⁡ t + ( B 0 t 2 + B 1 t...

⁡ b = cos ⁡ ( a − b ) − cos ⁡ ( a + b ) 2 cos ⁡ a cos ⁡ b = cos ⁡ ( a − b ) + cos ⁡ ( a + b ) 2 sin ⁡ a cos ⁡ b = sin ⁡ ( a + b ) + sin ⁡ ( a − b ) 2...

to BC are ( 0 , 2 Δ a cos ⁡ C , 2 Δ a cos ⁡ B ) , {\displaystyle (0,{\tfrac {2\Delta }{a}}\cos C,{\tfrac {2\Delta }{a}}\cos B),} which in purely relative...

155, #S25  cos 3 ⁡ A + cos 3 ⁡ B + cos 3 ⁡ C + cos ⁡ A cos ⁡ B cos ⁡ C ≥ 1 2 . {\displaystyle \cos ^{3}A+\cos ^{3}B+\cos ^{3}C+\cos A\cos B\cos C\geq {\frac...

α G ) cos ⁡ ( δ ) = cos ⁡ ( b ) sin ⁡ ( l NCP − l ) cos ⁡ ( α − α G ) cos ⁡ ( δ ) = sin ⁡ ( b ) cos ⁡ ( δ G ) − cos ⁡ ( b ) sin ⁡ ( δ G ) cos ⁡ ( l NCP...

= ( a c + b d ) ( a d + b c ) − 2 a b c d ( cos ⁡ B + cos ⁡ D ) a b + c d {\displaystyle p={\sqrt {\frac {(ac+bd)(ad+bc)-2abcd(\cos {B}+\cos {D})}{ab+cd}}}}...

a cos ⁡ b − cos ⁡ a sin ⁡ b cos ⁡ γ ) 2 + ( sin ⁡ b sin ⁡ γ ) 2 cos ⁡ a cos ⁡ b + sin ⁡ a sin ⁡ b cos ⁡ γ , α = arctan ⁡ sin ⁡ a sin ⁡ γ sin ⁡ b cos ⁡...

cos ⁡ l x cos ⁡ b x sin ⁡ l z cos ⁡ b z sin ⁡ b x − sin ⁡ b z sin ⁡ l x cos ⁡ b x cos ⁡ l z cos ⁡ b z sin ⁡ l x cos ⁡ b x sin ⁡ b z cos ⁡ l x cos ⁡ b...

{1}{2}}\cos(A-B)} Adding cos ⁡ ( A ) {\displaystyle \cos(A)} to both sides: cos ⁡ ( A ) ⋅ [ 1 + cos ⁡ ( B ) ] = 1 2 cos ⁡ ( A + B ) + cos ⁡ ( A ) + 1 2 cos ⁡...

medium. For instance, such a veto is used in the gamma ray observatory COS-B. Detectors relying on coincidence designs are limited by random, chance...

cosines: cos ⁡ a + cos ⁡ b = 2 cos ⁡ ( a − b 2 ) cos ⁡ ( a + b 2 ) , {\textstyle \cos a+\cos b=2\cos \left({a-b \over 2}\right)\cos \left({a+b \over 2}\right)...

b, c, the relation between the sides takes the form: cos ⁡ c R = cos ⁡ a R cos ⁡ b R . {\displaystyle \cos {\frac {c}{R}}=\cos {\frac {a}{R}}\,\cos {\frac...

by x = r cos ⁡ b cos ⁡ l y = r cos ⁡ b sin ⁡ l z = r sin ⁡ b {\displaystyle {\begin{aligned}x&=r\cos b\cos l\\y&=r\cos b\sin l\\z&=r\sin b\end{aligned}}}...

∞ a n cos ⁡ ( b n π x ) , {\displaystyle f(x)=\sum _{n=0}^{\infty }a^{n}\cos(b^{n}\pi x),} where 0 < a < 1 {\textstyle 0<a<1} , b {\textstyle b} is a...

where cos ⁡ c ′ = cos ⁡ a ′ cos ⁡ b ′ − u ^ ⋅ v ^ sin ⁡ a ′ sin ⁡ b ′ , {\displaystyle \cos c'=\cos a'\cos b'-{\hat {u}}\cdot {\hat {v}}\sin a'\sin b',}...

I ) = c sin ⁡ B 2 cos ⁡ C 2 = b sin ⁡ C 2 cos ⁡ B 2 . {\displaystyle d(A,I)=c\,{\frac {\sin {\frac {B}{2}}}{\cos {\frac {C}{2}}}}=b\,{\frac {\sin {\frac...