Question

The angle θ₁ is located in quadrant ii and cosθ₁=-12/19.

Answer 1

To solve for the angle θ₁ with cosθ₁ = -12/19 in quadrant II, you can use the inverse cosine function to find the angle.

Step-by-step explanation:

The given question is about an angle located in quadrant II and an equation involving cosine. In mathematics, this is a trigonometry problem. To solve for the angle θ₁, we can use the inverse cosine function to find the angle whose cosine is equal to -12/19. Since the angle is in quadrant II, it will have a positive sine value. Let's find θ₁ step by step:

1. Start with the equation cosθ₁ = -12/19
2. Use the inverse cosine function: θ₁ = cos⁻¹(-12/19)
3. Round the value to the nearest degree

So, θ₁ is approximately 150 degrees.