Students were asked to simplify the expression the quantity secant theta minus cosine theta end quantity over secant period Two students' work is given.Student AStep 1: secant theta over secant theta minus cosine theta over secant thetaStep 2: 1 minus cosine theta over the quantity 1 over cosine theta end quantityStep 3: 1 − cos2 θStep 4: sin2 θStudent BStep 1: the quantity 1 over cosine theta end quantity minus cosine theta over the quantity secant thetaStep 2: the quantity 1 minus cosine squared theta end quantity over cosine theta all over secant thetaStep 3: sine squared theta over cosine squared thetaStep 4: tan2 θPart A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused. (5 points)Part B: Complete the student's solution correctly, beginning with the location of the error. (5 points)

Students were asked to simplify the expression the quantity secant theta minus cosine theta end quantity over secant period Two students work is givenStudent AS class=

Respuesta :

Error part:

There is a mistake with student B in step 3 so I start with step 2

[tex]\begin{gathered} Step\text{ 2 }\frac{\frac{1-cos^2\emptyset}{cos\emptyset}}{sec\emptyset} \\ \\ Step\text{ 3 }\frac{1-cos^2\emptyset}{cos\emptyset *sec\emptyset} \\ \\ Step\text{ 4 1-cos}^2\emptyset \\ Step\text{ 5 sin}^2\emptyset \end{gathered}[/tex]