3
QuizMultiple Choice
Evaluating the Six Trigonometric Functions
Question 3 of 10 • SVLC ALGEBRA 2B - STANDARD (15272)
Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.Step 1Step 2 Step 3Which of the following explains whether all of Francesca’s work is correct?
Answer
A
Each step is correct because she plotted the point, drew a line to the x-axis to form a right triangle, used the Pythagorean theorem to find the hypotenuse, and finally wrote the correct ratios for all six functions.B
She made her first error in step 1 because she should have drawn the line to the y-axis to form the right triangle.C
She made her first error in step 2 because she should have used a negative value for r.D
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.