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JEE Main Math Class 11 Sequences and Series Part 3 Questions
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© examsnet.com
Question : 1
Total: 101
If the range of
f
(
θ
)
=
s
i
n
4
θ
+
3
cos
2
θ
s
i
n
4
θ
+
cos
2
θ
,
θ
∈
ℝ
is
[
α
,
β
]
, then the sum of the infinite G.P., whose first term is 64 and the common ratio is
α
β
, is equal to ______.
[8 Apr 2024 Shift 1]
Your Answer:
Validate
Solution:
👈: Video Solution
f
(
θ
)
=
s
i
n
4
θ
+
3
cos
2
θ
s
i
n
4
θ
+
cos
2
θ
f
(
θ
)
=
1
+
2
cos
2
θ
s
i
n
4
θ
+
cos
2
θ
f
(
θ
)
=
2
cos
2
θ
cos
4
θ
−
cos
2
θ
+
1
+
1
f
(
θ
)
max
=
3
S
=
64
1
−
1
∕
3
=
96
© examsnet.com
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