The image illustrates an angle with a radian measure of θ, centered at the vertex of a circle with a radius of 2.7 cm. The diagram shows the circle and the terminal side of the angle ending at a point on the circle.**Diagram Details:**- The circle is drawn with a blue outline and has a radius of 2.7 cm.- The angle is positioned such that it intersects the positive x-axis.- A right triangle is formed with the circle's radius, the x-axis, and a vertical line (from the x-axis to the terminal point of the angle).- Measurements provided: - The horizontal leg (adjacent to angle θ) measures 1.68 cm. - The vertical leg (opposite angle θ) measures 2.11 cm. - The hypotenuse of the triangle, which is the radius of the circle, measures 2.7 cm.**Problem Statement:**1. **Horizontal Distance Analysis:** - The terminal point's horizontal distance to the right of the center of the circle is compared to the circle's radius. - Formula: \(\cos(\theta) = \frac{\text{horizontal distance}}{\text{radius}}\)2. **Vertical Distance Analysis:** - The terminal point's vertical distance above the center of the circle is compared to the circle's radius. - Formula: \(\sin(\theta) = \frac{\text{vertical distance}}{\text{radius}}\)**Interactive Components:**- Text boxes are provided to calculate and enter the values of \(\cos(\theta)\) and \(\sin(\theta)\).- A "Preview" button likely allows users to check their answers.These activities help in understanding how the trigonometric functions cosine and sine relate to a circle's geometry and facilitate practical application of the unit circle concept.

The terminal point horizontal distance,x = 1.68cmThe radius of the circle,r = 2.70cmhencexr = 1.682.70xr =0.622Since in a given right angle triangle cosθ = basehypotanuseSo cosθ = 0.622The terminal point vertical distance,y = 2.11cmThe radius of the circle,r = 2.70cmhenceyr = 2.112.70xr =0.7815Since in a given right angle triangle Sinθ = perpendicularhypotanuseSo Sinθ = 0.7815