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Byju's Answer
Standard XII
Mathematics
Principal Solution of Trigonometric Equation
If x=a cose...
Question
If
x
=
a
(
cosec
α
+
cot
α
)
and
y
=
b
(
1
−
cos
α
)
sin
α
,
then
x
y
=
a
b
if true then enter
1
and if false then write
0
Open in App
Solution
Since,
x
=
a
(
cosec
α
+
cot
α
)
Also,
y
=
b
(
1
−
cos
α
)
sin
α
=
b
(
cosec
α
−
cot
α
)
We know that
cosec
2
α
−
cot
2
α
=
1
⇒
(
cosec
α
+
cot
α
)
(
cosec
α
−
cot
α
)
=
1
⇒
(
x
a
)
(
y
b
)
=
1
∴
x
y
=
a
b
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0
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Q.
If
x
=
a
(
c
o
s
e
c
α
+
c
o
t
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)
and
y
=
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(
1
−
c
o
s
α
)
s
i
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α
, then xy = __________.
Q.
Simplify
x
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−
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y
x
2
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+
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y
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−
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z
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−
x
y
z
2
x
, then the answer is
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If true then enter
1
and if false then enter
0
Q.
If
0
<
α
<
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/
2
and
sin
α
+
cos
α
+
tan
α
+
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α
+
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α
+
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s
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, then
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is a root of the equation
x
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. If this is true enter 1, else enter 0.
Q.
State whether True or False.
The H.C.F. and L.C.M. of:
x
2
−
y
2
and
x
2
−
x
y
is
x
−
y
;
x
(
x
+
y
)
(
x
−
y
)
If true then enter
1
and if false then enter
0
Q.
State whether True or False.
The H.C.F. and L.C.M. of:
x
2
y
and
x
y
2
is
x
y
;
x
2
y
2
If true then enter
1
and if false then enter
0
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Principal Solution of Trigonometric Equation
Standard XII Mathematics
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