If sin^-1 x and sin^-1 y = pi and x= ky then findthe value of 39^2k + 5^k

Dear Student,
Please find below the solution to the asked query:

First line of your question should besin-1x+sin-1y=πsin-1x+sin-1y=π2+π2Now we know that maximum value of sin-1θ is π2 when θ=1, hencesin-1x+sin-1y=π2+π2 is possible whenx=y=1Nowx=ky1=k×1k=1392k+5k=392+5=1521+5=1526

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