If SEC 4A=Cosec (A - 20^0), Find the Value of A. (4A is an Acute Angle) | Bzziii.com

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If sec 4A=cosec (A - `20^0`), find the Value of A. (4A is an acute angle)









Given that, sec 4A = cosec (A - `20^0`) ….(i)

sec A = cosec (`90^0` - A)

By using property in equation (i) we get:

cosec (`90^0` - 4A) = cosec (A - `20^0`)

`90^0` - 4A = A - `20^0`

5A = `110^0`

A = `110^0/5`

A = `22^0`






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