gao ke safai abhiyan ka ulekh karte hue mitr ko patr
Answers
Answer:
acosA + bsinB = c (1)
asinB - bcosA = k (2)
We need to find k
Lets square both the equations
(1)^{2}(1)
2
---->
(acosA + bsinB)^{2} = c^{2}(acosA+bsinB)
2
=c
2
a^{2} cos^{2}A+b^{2}sin^{2}B+2abcosAsinB = c^{2}a
2
cos
2
A+b
2
sin
2
B+2abcosAsinB=c
2
(3)
(2)^{2}(2)
2
---->
(asinB - bcosA)^{2} = k^{2}(asinB−bcosA)
2
=k
2
a^{2}sin^{2}B+b^{2}cos^{2}A-2absinBcosA = k^{2}a
2
sin
2
B+b
2
cos
2
A−2absinBcosA=k
2
(4)
Add (3) and (4)
a^{2} cos^{2}A+b^{2}sin^{2}B+2abcosAsinBa
2
cos
2
A+b
2
sin
2
B+2abcosAsinB +a^{2}sin^{2}A+b^{2}cos^{2}B-2absinBcosAa
2
sin
2
A+b
2
cos
2
B−2absinBcosA = c^{2}+k^{2}c
2
+k
2
a^{2}[cos^{2}A+sin^{2}A] +b^{2}[sin^{2}B+cos^{2}B]+2abcosAsinB-2absinBcosA = c^{2}+k^{2}a
2
[cos
2
A+sin
2
A]+b
2
[sin
2
B+cos
2
B]+2abcosAsinB−2absinBcosA=c
2
+k
2
a^{2}+b^{2}=c^{2}+k^{2}a
2
+b
2
=c
2
+k
2
k = \sqrt{a^{2}+b^{2}-c^{2}}k=
a
2
+b
2
−c
2
asinB-bcosA = \sqrt{a^{2}+b^{2}-c^{2}}asinB−bcosA=
a
2
+b
2
−c
2
Answer:
Adolf Hitler was a German politician and leader of the Nazi Party. He rose to power as the chancellor of Germany in 1933 and then as Führer in 1934. During his dictatorship from 1933 to 1945, he initiated World War II in Europe by invading Poland on 1 September 1939. Wikipedia
Born: 20 April 1889, Braunau am Inn, Austria
Died: 30 April 1945, Führerbunker, Berlin, Germany
Spouse: Eva Braun (m. 1945–1945)