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Find alpha and beta, so the function f (...

Find `alpha and beta,` so the function f (x) defined by
`f(x) =-2 sin x, "for" -pi le x le-pi/2`
`=alpha sinx+beta"for" -pi/2lt x lt pi/2`
`=cosx , "for" pi/2 le x le pi,`
is continuous on `[-pi, pi].`

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The correct Answer is:
`alpha =-1, beta=1`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-CONTINUITY -EXAMPLES FOR PRACTICE
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  14. Discuss the continuity of the functions on te intervals shown below th...

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