Final answer:
To calculate the angle when a combination of secants and tangents meet to form an angle outside of the circle, use trigonometric relationships of sine, cosine, and tangent.
Step-by-step explanation:
When a combination of secants and tangents meet to form an angle outside of the circle, you can calculate it using the trigonometric relationships of sine, cosine, and tangent.
First, determine the length of the adjacent and opposite sides of the triangle formed by the secant and tangent. Then, use the sine and cosine functions to find the ratios of the opposite and adjacent sides to the hypotenuse.
Finally, use the inverse tangent function (arctan) to find the angle based on the ratios determined earlier.