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=(12)/(13)`

Step-by-step explanation:

Parameters:

`\begin{gathered} \tan \theta=(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}} \\ \\ =(12)/(13) \end{gathered}`