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Byju's Answer
Standard X
Mathematics
Trigonometric Identities
Which of the ...
Question
Which of the following is a trigonometric identity?
A
1
+
s
e
c
2
θ
=
t
a
n
2
θ
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B
1
+
c
o
s
e
c
2
θ
=
c
o
t
2
θ
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C
s
i
n
2
θ
=
1
−
c
o
s
2
θ
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D
s
i
n
2
θ
−
c
o
s
2
θ
=
1
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Solution
The correct option is
C
s
i
n
2
θ
=
1
−
c
o
s
2
θ
We know that,
s
i
n
2
θ
+
c
o
s
2
θ
=
1
t
a
n
2
θ
+
1
=
s
e
c
2
θ
c
o
t
2
θ
+
1
=
c
o
s
e
c
2
θ
∴
s
i
n
2
θ
=
1
−
c
o
s
2
θ
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Similar questions
Q.
Prove the following trigonometric identities.
(1 + tan
2
θ) (1 − sinθ) (1 + sinθ) = 1