Math  /  Trigonometry

QuestionFind the sine, cosine, and tangent of K\angle K.
Simplify your answers and write them as proper fractions, improper fractions, or whole numbers. sin(K)=cos(K)=tan(K)=\begin{array}{l} \sin (K)= \\ \cos (K)= \\ \tan (K)= \end{array} \square \square \square

Studdy Solution
Calculate tan(K)\tan(K):
tan(K)=oppositeadjacent=IJKI=3260 \tan(K) = \frac{\text{opposite}}{\text{adjacent}} = \frac{IJ}{KI} = \frac{32}{60}
Simplify the fraction:
tan(K)=815 \tan(K) = \frac{8}{15}
The values are:
sin(K)=817cos(K)=1517tan(K)=815\begin{array}{l} \sin(K) = \frac{8}{17} \\ \cos(K) = \frac{15}{17} \\ \tan(K) = \frac{8}{15} \end{array}

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