WAEC - Mathematics (1995 - No. 41)

Without using tables, find the value of \(\frac{\sin 20°}{\cos 70°} + \frac{\cos 25°}{\sin 65°}\)
2
1
o
-1
-2

Explanation

Note: sin 20° = cos 70° hence

\(\frac{\sin 20}{\cos 70} = 1\)

Also, cos 65° = sin 25°

\(\frac{\cos 65}{\sin 25} = 1\)

\(\therefore \frac{\sin 20}{\cos 70} + \frac{\cos 65}{\sin 25}\)

= 1 + 1

= 2

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