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Byju's Answer
Standard X
Mathematics
Trigonometric Ratio(sin,cos,tan)
Cot theta + t...
Question
Cot theta + tan theta=cosec theta ×sec theta
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Solution
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Similar questions
Q.
(i)
cosecθ
+
cotθ
cosecθ
-
cotθ
=
(
cosecθ
+
cotθ
)
2
=
1
+
2
cot
2
+
2
cosecθ
cotθ
(ii)
secθ
+
tanθ
secθ
-
tanθ
=
(
secθ
+
tanθ
)
2
=
1
+
2
tan
2
θ
+
2
secθ
tanθ
Q.
Prove that
(
c
o
s
e
c
θ
−
sec
θ
)
(
cot
θ
−
tan
θ
)
=
(
c
o
s
e
c
θ
+
sec
θ
)
(
sec
θ
c
o
s
e
c
θ
−
2
)
Q.
tanθ
(
1
-
cotθ
)
+
cotθ
(
1
-
tanθ
)
=
(
1
+
secθ
cosecθ
)
Q.
t
a
n
Θ
1
−
c
o
t
Θ
+
c
o
t
Θ
1
−
t
a
n
Θ
=
1
+
s
e
c
Θ
c
o
s
e
c
Θ
.
Q.
Prove the following trigonometric identities.
(cosec θ − sec θ) (cot θ − tan θ) = (cosec θ + sec θ) ( sec θ cosec θ − 2)