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Standard XII
Mathematics
General Solution of Trigonometric Equation
Question
The equation
sin
2
x
+
cos
2
x
+
sin
x
+
cos
x
+
1
=
0
has no solution in:
first quadrant
fourth quadrant.
second quadrant
third quadrant.
A
first quadrant
B
fourth quadrant.
C
second quadrant
D
third quadrant.
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Solution
Verified by Toppr
Given Equation is
sin
2
x
+
cos
2
x
+
sin
x
+
cos
x
+
1
=
0
The terms at left hand side are all Positive in First Quadrant
All Positive terms cannot add up to give
0
So the equation has no root in first Quadrant.
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Similar Questions
Q1
The equation
sin
2
x
+
cos
2
x
+
sin
x
+
cos
x
+
1
=
0
has no solution in:
View Solution
Q2
Solve the following equation:
1
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sin
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+
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+
sin
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cos
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tan
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Q3
The number of solution of the equation
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c
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s
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c
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s
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View Solution
Q4
Assertion :Equation
√
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−
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2
x
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has 1 solution for
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[
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/
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Reason:
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View Solution
Q5
Solve the following equations:
(i)
cos
x
+
cos
2
x
+
cos
3
x
=
0
(ii)
cos
x
+
cos
3
x
-
cos
2
x
=
0
(iii)
sin
x
+
sin
5
x
=
sin
3
x
(iv)
cos
x
cos
2
x
cos
3
x
=
1
4
(v)
cos
x
+
sin
x
=
cos
2
x
+
sin
2
x
(vi)
sin
x
+
sin
2
x
+
sin
3
=
0
(vii)
sin
x
+
sin
2
x
+
sin
3
x
+
sin
4
x
=
0
(viii)
sin
3
x
-
sin
x
=
4
cos
2
x
-
2
(ix)
sin
2
x
-
sin
4
x
+
sin
6
x
=
0
View Solution