Question
Determine the value of:(sin 38 o cos 52
o + cos 2 38 o ) X sin 30 o + (cos 60 o tan 45 o ) X sec 60 oSolution
(sin 38 o cos 52 o + cos 2 38 o ) X sin 30 o + (cos 60 o tan 45 o ) X sec 60 o
= {sin 38 o cos (90 - 38 o ) + cos 2 38 o } X sin 30 o + cos 60 o tan 45 o sec 60 o
Using, cos (90 o - A) = sin A = (sin 2 38 o + cos 2 38 o ) sin 30 o + cos 60 o tan45 o sec 60 o
Using, sin 2 A + cos 2 A = 1
= {1 X (1/2) } + {(1/2) X 1 X 2} = (1/2) + 1 = (3/2)
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