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Byju's Answer
Standard XII
Mathematics
Equations of the Form acosθ+bsinθ = c
If the equati...
Question
If the equation
2
sin
2
x
+
sin
2
x
2
=
k
has atleast one real solution, then the sum of all integral value of
k
is
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Solution
2
sin
2
x
+
sin
2
x
2
=
k
⇒
−
cos
2
x
+
sin
2
x
2
=
k
−
1
⇒
−
√
5
2
≤
k
−
1
≤
√
5
2
⇒
−
√
5
2
+
1
≤
k
≤
√
5
2
+
1
⇒
sum
=
0
+
1
+
2
=
3
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2
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Equations of the Form acosθ+bsinθ = c
Standard XII Mathematics
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