Without using trigonometric table evaluate (sin 65/ cos 25 ) + (cos 32/ sin 58) - sin 28 * sec 62 + cosec 2 30
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=(sin65/cos25)+(cos32/sin58)-sin28×sec62+cosec230
=(sin(90-25)/cos25)+(cos32/sin(90-32))-sin28×sec(90-28)+cosec230
=(cos25/cos25)+(cos32/cos32)-sin28×cosec28+cosec230
=(1+1)-1/cosec28×cosec28+cosec230
=1+1-1+cosec230
1+cosec230
=(sin(90-25)/cos25)+(cos32/sin(90-32))-sin28×sec(90-28)+cosec230
=(cos25/cos25)+(cos32/cos32)-sin28×cosec28+cosec230
=(1+1)-1/cosec28×cosec28+cosec230
=1+1-1+cosec230
1+cosec230
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