Express sin 59 + tan 63 in terms of angles between 0 and 45 degree
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60
sin 59 + tan 63
=cos(90-59)+cot(90-63)
=cos31+cot27
=cos(90-59)+cot(90-63)
=cos31+cot27
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By the Information
sin 59 + tan 63
Identity of Trigonometry
cos (90 - Ф ) = sin Ф
cot (90 - Ф ) = tan Ф
Hence :-
= cos(90 - 59) + cot(90 - 63)
= cos 31 + cot 27
Required Value = cos 31 + cot 27
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