Mathematics

Problem

A line through the origin makes an acute angle

\theta

with the positive

x

-axis and has slope

\dfrac{3}{4}

. Find the value of

(\sin\theta)(\cot\theta)+(\cos\theta)(\tan\theta)

. a)

\dfrac{24}{25}

\dfrac{7}{5}

\dfrac{21}{20}

\dfrac{25}{16}