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Byju's Answer
Standard X
Mathematics
Trigonometric Identities
State the fol...
Question
State the following statement is true or false
c
o
s
e
c
θ
=
√
1
+
cot
2
θ
A
True
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B
False
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Solution
The correct option is
A
True
We know that
cot
θ
=
cos
θ
sin
θ
csc
θ
=
√
1
+
cos
2
θ
sin
2
θ
=
√
sin
2
θ
+
cos
2
θ
sin
2
θ
sin
2
θ
+
cos
2
θ
=
1
√
sin
2
θ
+
cos
2
θ
sin
2
θ
=
√
1
sin
2
θ
=
1
sin
θ
=
csc
θ
Hence proved
Suggest Corrections
0
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Q.
State the whether given statement is true or false
1
−
tan
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tan
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.
Q.
State true or false.
cos
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Q.
State whether the g
iven equation is true or false:
cot
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+
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o
s
e
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−
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cot
θ
−
cosec
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θ
2
Q.
Is LHS=RHS?
√
c
o
s
e
c
θ
−
1
c
o
s
e
c
θ
+
1
+
√
c
o
s
e
c
θ
+
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c
o
s
e
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=
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Say true or false?
Q.
State true or false.
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is a identity.
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