Question
The most general solution of cot =
and cosec
= – 2 is :



- none of these , n
i
Hint:
In this equation, we have given cotθ = -√3 and cosecθ = -2. We have to find the general solution. Find the θ first and then find the general solution.
The correct answer is: 
Here , we have to find the general equation of the cotθ = -√3 and cosecθ = -2.
Firstly, we have given,
cotθ = -√3 and cosecθ = -2.
Now,
cotθ = -√3
cotθ = cot ( -π/6)
and
cosecθ = -2
cosecθ = cosec ( -π/6 )
so the general solution is,
θ = 2nπ - π/6
The correct answer is 2nπ - π/6.
In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.
Related Questions to study
Let S =
The sun of all distinct solution of the equation 
Let S =
The sun of all distinct solution of the equation 
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 

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 

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
Quantitative estimation of
can be made by
in acidified medium. In which medium it can be estimated by
?
Quantitative estimation of
can be made by
in acidified medium. In which medium it can be estimated by
?
If
then the value of
is equal to
If
then the value of
is equal to
If
, then the intervals of values of
for which
, is
If
, then the intervals of values of
for which
, is
. X is an unsaturated gaseous hydrocarbon. Find X?
. X is an unsaturated gaseous hydrocarbon. Find X?
The eq. wt. of
in the reaction,
is/are:
The eq. wt. of
in the reaction,
is/are:
Which statement(s) is/are wrong?
Which statement(s) is/are wrong?