Without using tables, find the value of: \(\frac{sin 20°}{cos 70°} + \frac{cos 25°}{sin 65°}\)
Since sin x = cos (90 - x) [complementary angles]
.: sin 20 = cos 70
cos 25 = sin 65
. . \(\frac{sin 20}{ cos 70} + \frac{cos 25 }{sin 65}\)
=\(\frac{sin 20 }{ sin 20} + \frac{cos 25 }{cos 25}\) = 1 + 1 = 2
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