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Byju's Answer
Standard X
Mathematics
Standard Values of Trigonometric Ratios
1+tan 2 A 1+ ...
Question
(
1
+
tan
2
A
)
(
1
+
cot
2
A
)
=
?
(a) tan2 A
(b) cot2 A
(c) sec2 A
(d) cosec2 A
Open in App
Solution
(a) tan
2
A
1
+
tan
2
A
1
+
cot
2
A
=
1
+
sin
2
A
cos
2
A
1
+
cos
2
A
sin
2
A
=
cos
2
A
+
s
in
2
A
cos
2
A
sin
2
A
+
c
os
2
A
sin
2
A
=
1
cos
2
A
1
sin
2
A
(
∵
c
os
2
A
+
s
in
2
A
=
1
)
=
sin
2
A
cos
2
A
=
tan
2
A
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