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Byju's Answer
Standard IX
Mathematics
Calculating Heights and Distances
ABCD is a qua...
Question
ABCD is a quadrilateral. Prove that cos(A+B/4)=sin(C+D/4)
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Solution
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Similar questions
Q.
In any quadrilateral
A
B
C
D
, prove that
(i)
sin
(
A
+
B
)
+
sin
(
C
+
D
)
=
0
(ii)
cos
(
A
+
B
)
=
cos
(
C
+
D
)
.
Q.
In cyclic quadrilateral
A
B
C
D
, prove that
i .
sin
(
A
+
B
)
+
sin
(
C
+
D
)
=
0
ii.
cos
(
A
+
B
)
=
cos
(
C
+
D
)
.
Q.
If
cos
(
A
+
B
)
cos
(
A
−
B
)
=
sin
(
C
+
D
)
sin
(
C
−
D
)
, prove that
tan
A
tan
B
tan
C
+
tan
D
=
0
Q.
If three angles
A
,
B
and
C
are angles of a cyclic quadrilateral, prove that
cot
B
=
sin
A
−
sin
C
cos
C
−
cos
A
Q.
If A(3,-4),B(4,5),C(5,-5),D(4,-10) are the vertices of a quadrilateral prove that ABCD is Rhombus?
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