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Byju's Answer
Standard XII
Mathematics
Sign of Trigonometric Ratios in Different Quadrants
If A,B,C,D ar...
Question
If
A
,
B
,
C
,
D
are the angles of a cyclic quadrilateral, then the value of
sec
A
+
sec
B
+
sec
C
+
sec
D
is
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Solution
As
A
B
C
D
is cyclic quadrilateral
∴
A
+
C
=
π
and
B
+
D
=
π
⇒
A
=
π
−
C
and
B
=
π
−
D
Now,
sec
A
+
sec
B
+
sec
C
+
sec
D
=
sec
(
π
−
C
)
+
sec
(
π
−
D
)
+
sec
C
+
sec
D
=
−
sec
C
−
sec
D
+
sec
C
+
sec
D
=
0
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Q.
If
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Q.
If
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A
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B
sec
C
=
8
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log
sec
B
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A
,
log
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,
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A
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C
form a geometric progression. If the circumradius of
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Sign of Trigonometric Ratios in Different Quadrants
Standard XII Mathematics
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