Maths-
General
Easy
Question
If
and
lies in
then
=
Hint:
in this question, we have to find the value of
. Firstly, we will simplify the equation and as it is given that the value will lie between
, so we can find the required solution.
The correct answer is: ![open curly brackets pi over 3 comma fraction numerator negative pi over denominator 4 end fraction close curly brackets](data:image/png;base64,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)
Related Questions to study
Maths-
If , then
he principal value of
is
If , then
he principal value of
is
Maths-General
maths-
In a ![straight triangle A B C comma sin to the power of 4 invisible function application A plus sin to the power of 4 invisible function application B plus sin to the power of 4 invisible function application C equals](data:image/png;base64,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)
In a ![straight triangle A B C comma sin to the power of 4 invisible function application A plus sin to the power of 4 invisible function application B plus sin to the power of 4 invisible function application C equals](data:image/png;base64,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)
maths-General
Maths-
If ![4 cos squared space theta equals 3 text then end text theta equals negative midline horizontal ellipsis minus negative](data:image/png;base64,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)
If ![4 cos squared space theta equals 3 text then end text theta equals negative midline horizontal ellipsis minus negative](data:image/png;base64,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)
Maths-General
Maths-
The value of is equal to
The value of is equal to
Maths-General
Maths-
If
and
then the value of
is equal to
If
and
then the value of
is equal to
Maths-General
Maths-
If
Then the roots of the equation
are
If
Then the roots of the equation
are
Maths-General
Maths-
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,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)
If
,then tan ![alpha tan invisible function application 2 alpha plus tan invisible function application 2 alpha tan invisible function application 4 alpha plus tan invisible function application 4 alpha tan invisible function application alpha equals](data:image/png;base64,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)
Maths-General
Maths-
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
If the mapping
maps [-1,1] onto [0,2] then for all values of
,
is such that
Maths-General
Maths-
If
then
If
then
Maths-General
Maths-
The sum of the series, upto n terms, is
The sum of the series, upto n terms, is
Maths-General
Maths-
In a triangle
In a triangle
Maths-General
Maths-
The value of
is
The value of
is
Maths-General
Maths-
If the equation
=0 has at least one solution, then the sum of all possible integral values of 'a' is equal to
If the equation
=0 has at least one solution, then the sum of all possible integral values of 'a' is equal to
Maths-General
Maths-
=
=
Maths-General
Maths-
If
d then the minimum value of
is equal to (where is variable)
If
d then the minimum value of
is equal to (where is variable)
Maths-General