Question

If tan θ=5/12 and sin θ<0 , then the value of cos θ must beQuestion 4 options:a−12b)-5c)−5/13d)−12/13

Answer 1

Answer:$\cos \theta=\frac{12}{13}$

Explanation:

Parameters:

$\begin{gathered} \tan \theta=\frac{5}{12} \\ \end{gathered}$

From the above diagram, we can obtain the length of the hypotenuse by using the Pythagorean theorem

$\begin{gathered} x=\sqrt[]{12^2+5^2} \\ \\ =13 \end{gathered}$

Now,

$\begin{gathered} \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \\ =\frac{12}{13} \end{gathered}$