Suppose that for some angles `xa n dy ,` the equations `sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2` hold simultaneously. the possible value of `a`

Question

Suppose that for some angles `xa n dy ,` the equations `sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2` hold simultaneously. the possible value of `a`

Suppose that for some angles `xa n dy ,` the equations `sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2` hold simultaneously. the possible value of `a` is ___________

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 1
`sin^2x+cos^2y=(3a)/2 ...(i)`
`andcos^2x+sin^2y =a^2/2 ...(ii)`
Adding (i) and (ii), we get
`2=(3a)/2 +a^2/2`
`or a^2+3a-4=0`
`or (a+4)(a-1)=0`
`:. A=-4("rehected"),a=1`

5 views Answered 2023-02-05 15:29