Consider the system of equations sin x cos 2y- a2-12-1- cos xsin 2y- a-1- then the number of values of y- -0-2- when the system has solution for permissible values of a are-

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Greatest Integer Function

Consider the ...

Question

Consider the system of equations $sin x cos 2 y = (a^{2} - 1)^{2} + 1, cos x sin 2 y = a + 1$ , then the number of values of $y \in [0, 2 π]$ when the system has solution for permissible values of $a$ are,

2

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3

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4

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5

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sin x cos 2 y = (a^{2} - 1)^{2} + 1, cos x sin 2 y = a + 1

a

sin x . cos 2 y = (a^{2} - 1)^{2} + 1, cos x . sin 2 y = a + 1

x ϵ [0, 2 π]

sin x cos x 2 y = (a^{2} - 1)^{2} + 1

cos x sin 2 y = a + 1

⎡ ⎢ ⎣ \begin{matrix} 2 & 1 & - 4 4 & 3 & - 12 1 & 2 & - 8 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x y z \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} a 57 \end{matrix} ⎤ ⎥ ⎦

a

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