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Standard X
Mathematics
Complementary Trigonometric Ratios
Question 9If ...
Question
Question 9
If
√
3
t
a
n
θ
=
1
,
find the value of
s
i
n
2
θ
−
c
o
s
2
θ
.
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Solution
Given that,
√
3
t
a
n
θ
=
1
⇒
t
a
n
θ
=
1
√
3
=
t
a
n
30
∘
⇒
θ
=
30
∘
Now,
s
i
n
2
θ
−
c
o
s
2
θ
=
s
i
n
2
30
∘
−
c
o
s
2
30
∘
=
(
1
2
)
2
−
(
√
3
2
)
2
=
1
4
−
3
4
=
1
−
3
4
=
−
2
4
=
−
1
2
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0
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i
n
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