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Byju's Answer
Standard XI
Mathematics
Sum of Trigonometric Ratios in Terms of Their Product
Question 2Wri...
Question
Question 2
Write ‘True’ or ‘False’ and justify your answer in each of the following:
The value of the expression
(
c
o
s
2
23
∘
−
s
i
n
2
67
∘
)
is positive.
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Solution
The statement is false.
As,
67
∘
a
n
d
23
∘
are complementary angles,
so,
c
o
s
2
23
∘
−
s
i
n
2
67
∘
=
(
c
o
s
23
∘
−
s
i
n
67
∘
)
(
c
o
s
23
∘
+
s
i
n
67
∘
)
⌊
∵
(
a
2
−
b
2
)
=
(
a
−
b
)
(
a
+
b
)
⌋
=
⌊
c
o
s
23
∘
−
s
i
n
(
90
∘
−
23
∘
)
⌋
(
c
o
s
23
∘
+
s
i
n
67
∘
)
=
(
c
o
s
23
∘
−
c
o
s
23
∘
)
(
c
o
s
23
∘
+
s
i
n
67
∘
)
⌊
∵
s
i
n
(
90
∘
−
θ
)
=
c
o
s
θ
⌋
=
0
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Q.
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Write ‘True’ or ‘False’ and justify your answer in each of the following:
The value of the expression
(
c
o
s
2
23
∘
−
s
i
n
2
67
∘
)
is positive.
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Sum of Trigonometric Ratios in Terms of Their Product
Standard XI Mathematics
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