Question on: WAEC Mathematics - 2001
Given that sin \(P = \frac{5}{13}\), where p is acute, find the value of cos p - tan p
A
\(\frac{79}{156}\)
B
\(\frac{85}{156}\)
C
\(\frac{7}{13}\)
D
\(\frac{8}{1}\)
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Correct Option: A
If \(sin P = \frac{5}{13}\) from right angled triangle from pythagoras theorem
\(BC^2 = 13^2 - 5^2\
=169-25\
BC = \sqrt{144} = 12\
∴ cos P - tan P = \frac{12}{13} - \frac{5}{12}\
=\frac{79}{156}\)
\(BC^2 = 13^2 - 5^2\
=169-25\
BC = \sqrt{144} = 12\
∴ cos P - tan P = \frac{12}{13} - \frac{5}{12}\
=\frac{79}{156}\)
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