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If s e c4A=cos e c(A 20o) , where 4A is...

If `s e c4A=cos e c(A 20o)` , where 4A is an acute angle, find the value of A.

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`sec4A="cosec "(A-20^(@))`
`rArr"cosec "(90^(@)-4A)="cosec " (A=20^(@))rArr90^(@)-4A=A-20^(@)`
`rArr110^(@)=5ArArrA=22^(@)`
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