A student begins a proof of the law of cosines. His work is shown.

(image below)

The student made an error in _. To correct this error, he should _.

After correcting this error, the student can use the _ to relate sides x, y, z, and angle _.

1st blank answers:

a, step 1

b, step 2

c, step 3

2nd blank answers

a, define side AY in terms of angle X

b, define side XY in terms of angle X

c, define side AX in terms of angle Y

3rd blank answers

a, tangent function

b, law of sines

c, Pythagorean theorem

4th blank answers

a, Z

b, X

c, Y

The student made an error in step 3. To correct this error, he should define side AY in terms of angle X. Pythagorean theorem relates sides x, y, z, and angle X

The law of cosine.

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

cosθ = Opp/Hyp

Where:

Opp is the opposite side of a right-angled triangle.

Hyp is the hypotenuse of a right-angled triangle.

θ is the angle.

In this scenario, we can logically deduce that the student made an error in step 3. To correct this error, he should define side AY in terms of angle X.

After correcting this error, the student can use the Pythagorean theorem to relate sides x, y, z, and angle X.

Read more on law of cosine here: https://brainly.com/question/27613782

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