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Byju's Answer
Standard XII
Mathematics
Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine
Prove that A...
Question
Prove
that
cot
A
−
cos
A
cot
A
+
cos
A
=
cos
e
c
A
−
1
cos
e
c
A
+
1
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Solution
⇒
c
o
t
A
−
c
o
s
A
c
o
t
A
+
c
o
s
A
=
c
o
s
e
c
A
−
1
c
o
s
e
c
A
+
1
⇒
c
o
s
A
s
i
n
A
−
c
o
s
A
c
o
s
A
s
i
n
A
+
c
o
s
A
=
c
o
s
A
(
1
s
i
n
A
−
1
)
c
o
s
A
(
1
s
i
n
A
+
1
)
⇒
c
o
s
e
c
A
−
1
c
o
s
e
c
+
1
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Similar questions
Q.
Prove the following trigonometric identities.
cot
A
-
cos
A
cot
A
+
cos
A
=
cosec
A
-
1
cosec
A
+
1