Without using trigonometric table,prove that sec 31 sin59+cos 31 cosec 59=2
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L.H.S.
sec 31°×sin59°+cos 31° ×cosec59°
=cosec(90°-31°)×sin59°+sin(90°-31°)×cosec 59°
=cosec59°×sin59°+sin 59°×cosec 59°
•.•sin theta × cosec theta =1
.•. cosec59°×sin59°+sin 59°×cosec 59
=1+1
=2
=R.H.S. proved
hope this will help you.
sec 31°×sin59°+cos 31° ×cosec59°
=cosec(90°-31°)×sin59°+sin(90°-31°)×cosec 59°
=cosec59°×sin59°+sin 59°×cosec 59°
•.•sin theta × cosec theta =1
.•. cosec59°×sin59°+sin 59°×cosec 59
=1+1
=2
=R.H.S. proved
hope this will help you.
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