The general solution of the equation cosec - - -2 - 0 is

Consider the system of linear equations in x, y and z ;
(sin 3 $θ$ ) x - y + z = 0 ......(i)
(cos 2 $θ$ )x + 4y + 3z = 0 ......(ii)
2x + 7y+ 7z = 0 ......(iii)

The value of $θ$ for which the system has nontrivial solution is

Q. General solution of the equation

sec 2 x = \frac{- 2}{\sqrt{3}}

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The general solution of the equation cosecθ+√2=0 is

The correct option is C θ=nπ+(−1)n5π4,n∈Icosecθ=−√2⇒sinθ=−1√2=−sinπ4=sin(π+π4)=sin5π4⇒θ=nπ+(−1)n.5π4,n∈I.

The general solution of the equation $c o s e c θ + \sqrt{2} = 0$ is

The correct option is C $θ = n π + (- 1)^{n} \frac{5 π}{4}, n \in I$
$c o s e c θ = - \sqrt{2} \Rightarrow s i n θ = \frac{- 1}{\sqrt{2}} = - s i n \frac{π}{4} = s i n (π + \frac{π}{4}) = s i n \frac{5 π}{4}$ $\Rightarrow θ = n π + (- 1)^{n} . \frac{5 π}{4}, n \in I .$