Given that sin θ = 5 cos θ, find the value of tan θ - Edexcel - A-Level Maths Pure - Question 8 - 2006 - Paper 2

From the previous step, we find:

$$ext{tan } θ = 5$$

To determine the values of θ, we take the inverse tangent:

$$θ = an^{-1}(5)$$

Using a calculator, we find:

$$θ ext{ (in degrees) } ≈ 78.7°$$

Since the tangent function is positive in both the first and third quadrants, we add 180° to find the second solution:

$$θ = 78.7° + 180° = 258.7°$$

So the values of θ are approximately:

• 78.7°
• 258.7°

Both values are provided to one decimal place.