Respuesta :
Answer:
She made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also results in incorrect cosecant, secant, and tangent functions.
Step-by-step explanation:
Francesca made her first error in step 3 because her sine, cosine, and tangent trigonometric ratio values are incorrect.
How to work with trigonometric ratios?
The correct steps to use in this regards are as follows;
Step 1;
A unit circle is shown. A ray intersects point (-2, -10) in quadrant 3. θ is the angle formed by the ray and the x-axis in quadrant 1.
Step 2;
r = √[(-2)² + (-10)²] = √104 = 2√26
Step 3;
cos θ = -2/(2√26) = -1/√26 = -(√26)/26
sin θ = -10/(2√26) =-5/√26 = -5(√26)/26
tan θ = -10/-2 = 5
sec θ = 1/sin θ = 1/-(√26)/26 = -26/√26
cosec θ = 1/cos θ = 1/-5(√26)/26 = -(√26)/5
cot θ = 1/tan θ = 1/5
Thus, Francesca made her first error in step 3 because the correct sine, cosine, and tangent ratios above differ from hers which was incorrect which lead to incorrect values of cosecant, secant, and tangent functions.
Read more about trigonometric ratios at; https://brainly.com/question/15953530
