Question
If ![6 cos space 2 theta plus 2 cos squared space theta divided by 2 plus 2 sin squared space theta equals 0 comma negative pi less than theta less than pi comma text then end text theta equals](data:image/png;base64,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)
The correct answer is: ![pi divided by 3 comma pi minus cos to the power of negative 1 end exponent space left parenthesis 3 divided by 5 right parenthesis](data:image/png;base64,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)
Related Questions to study
The most general solution of the equations is
The most general solution of the equations is
The general solution of the equation, is
The general solution of the equation, is
The most general solution of cot =
and cosec
= – 2 is :
In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.
The most general solution of cot =
and cosec
= – 2 is :
In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.
Let S =
The sun of all distinct solution of the equation ![square root of 3 sec space x plus cosec space x plus 2 left parenthesis tan space x minus cot space x right parenthesis equals 0](data:image/png;base64,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)
Let S =
The sun of all distinct solution of the equation ![square root of 3 sec space x plus cosec space x plus 2 left parenthesis tan space x minus cot space x right parenthesis equals 0](data:image/png;base64,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)
A wave motion has the function
The graph in figure shows how the displacement
at a fixed point varies with time
Which one of the labelled points shows a displacement equal to that at the position
at time ![t equals 0](data:image/png;base64,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)
![](data:image/png;base64,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)
A wave motion has the function
The graph in figure shows how the displacement
at a fixed point varies with time
Which one of the labelled points shows a displacement equal to that at the position
at time ![t equals 0](data:image/png;base64,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)
![](data:image/png;base64,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)
For
, the equation
has
For
, the equation
has
Which of the following pairs of compounds are functional isomers?
Which of the following pairs of compounds are functional isomers?
Let
be such that
and
Then
cannot satisfy
In this question we have to find the the which region ϕ cannot satisfy. In this question more than one option is correct. Here firstly solve the given equation. Remember that, , tan x + cot x = .
Let
be such that
and
Then
cannot satisfy
In this question we have to find the the which region ϕ cannot satisfy. In this question more than one option is correct. Here firstly solve the given equation. Remember that, , tan x + cot x = .
The number of all possible values of , where 0<
<
, which the system of equations
has a solution
with
, is
The number of all possible values of , where 0<
<
, which the system of equations
has a solution
with
, is
Roots of the equation are
Roots of the equation are
Isomers are possible for the molecular formula
Isomers are possible for the molecular formula
The number of solutions of the pair of equations in the interval [0, 2
] is
The number of solutions of the pair of equations in the interval [0, 2
] is