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Question

If sinα=45 and sinβ=725 and αβ(0,π2) then value of sin1(45)+sin1(725)=

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Solution

now cosα=35,cosβ=2425
sin(α+β)=sinαcosβ+sinβcosα
=96125+21125
=117125
sin(α+β)=117125
α+β=sin1(117125)
sin1(45)+sin1(725)=sin1(117125)

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