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Standard X
Mathematics
Trigonometric Ratios
Question 4Wri...
Question
Question 4
Write ‘True’ or ‘False’ and justify your answer in each of the following:
√
(
1
−
c
o
s
2
θ
)
s
e
c
2
θ
=
t
a
n
θ
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Solution
The statement is true.
√
(
1
−
c
o
s
2
θ
)
s
e
c
2
θ
=
√
s
i
n
2
θ
.
s
e
c
2
θ
⌊
∵
s
i
n
2
θ
+
c
o
s
2
θ
=
1
⌋
=
√
s
i
n
2
θ
.
1
c
o
s
2
θ
=
√
t
a
n
2
θ
[
∵
s
e
c
θ
=
1
c
o
s
θ
,
t
a
n
θ
=
s
i
n
θ
c
o
s
θ
]
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