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ISI B.Stat Entrance Exam
2011 ISI B.Stat Entrance Exam
10
Trigo relation in a right angled. ISIBS2011P10
Trigo relation in a right angled. ISIBS2011P10
Source:
March 31, 2013
trigonometry
geometry
circumcircle
Problem Statement
Show that the triangle whose angles satisfy the equality
sin
2
A
+
sin
2
B
+
sin
2
C
cos
2
A
+
cos
2
B
+
cos
2
C
=
2
\frac{\sin^2A+\sin^2B+\sin^2C}{\cos^2A+\cos^2B+\cos^2C} = 2
cos
2
A
+
cos
2
B
+
cos
2
C
sin
2
A
+
sin
2
B
+
sin
2
C
=
2
is right angled.
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