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USM ITT 2010

Solusi USM IT Telkom 2010 Kode 11 – Nomor 9


Bila\ cosx=\frac{3}{5}\ dan\ cosy=\frac{4}{5}\ dengan\ x\ dan\ y\ merupakan\ sudut\ lancip,\\maka\ nilai\ dari\ cos(x-y)=....
(A)\quad 0
(B)\quad -\frac{12}{25}
(C)\quad \frac{12}{25}
(D)\quad \frac{24}{25}
(E)\quad \frac{24}{125}
Jawaban: D

\begin{array} {rcl} cos(x-y)&=&cosx.cosy+sinx.siny\\\\&=&\frac{3}{5}\times \frac{4}{5}+\frac{4}{5}\times \frac{3}{5}\\\\&=&\frac{12}{25}+\frac{12}{25}\\\\&=&\frac{24}{25}\end{array}

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