Answer:
Need more information!
Explanation:
To find the value of tanθ, we can use the identity:
tanθ = sinθ / cosθ
First, let's rearrange the given equation to isolate sinθ:
5cosθ + 12sinθ = 13
12sinθ = 13 - 5cosθ
sinθ = (13 - 5cosθ) / 12
Next, we need to find the value of cosθ. We can use the Pythagorean identity:
sin²θ + cos²θ = 1
Substituting the value of sinθ from the previous equation:
[(13 - 5cosθ) / 12]² + cos²θ = 1
Simplifying this equation will give us a quadratic equation in terms of cosθ. After solving for cosθ, we can substitute the value of cosθ back into the equation for sinθ to find its value. Finally, we can substitute the values of sinθ and cosθ into the equation for tanθ to determine its value.
However, without additional information or values for cosθ, it is not possible to find the exact value of tanθ. The equation 5cosθ + 12sinθ = 13 can have multiple solutions depending on the value of cosθ. Therefore, we need more information to find the specific value of tanθ.