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Without using tables, find the value of: \(\frac{sin 20°}{cos 70°} + \frac{cos 25°}{sin 65°}\)

Mathematics
WAEC 2025

Without using tables, find the value of: \(\frac{sin 20°}{cos 70°} + \frac{cos 25°}{sin 65°}\)

  • A. 2
  • B. 0
  • C. 1
  • D. -1
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Correct Answer: Option A
Explanation

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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