Trigonometric Half Angle Identities

Question 1

Provide the justifications for steps in the derivation shown.

Revolt · Accepted Answer

Power reducing; identity: Power reducing; Substituting a quantity for its equal; Square root property of equality

Question 2

Provide the justifications for steps in the derivation shown.

Revolt · Accepted Answer

Substituting a quantity for its equal

Question 3

Provide the justifications for steps in the derivation shown.

Revolt · Accepted Answer

Square root property of equality

Question 4

Complete the steps of the proof.

Revolt · Accepted Answer

♦:: multiply by a form of 1; ♣:: Pythagorean identity

Question 5

cosine half-angle identity✔ Pythagorean identitysine half-angle identity

Revolt · Accepted Answer

✔ Pythagorean identity

Question 6

Complete the steps of the proof.

Revolt · Accepted Answer

half angle; ♦:: half angle; ♣:: x

Question 7

What is the exact value of cos(105°) ?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/e31064c846f8dfc89a0956e52822b397.png

Question 8

Find the solutions to the equation if 0° ≤ < 360°. Check all that apply.0°120°60°180°240°

Revolt · Accepted Answer

0°; 120°; 240°

Question 9

♣:

Revolt · Accepted Answer

x

Question 10

Complete the steps of the proof.

Revolt · Accepted Answer

✔ multiply by a form of 1; ♦:: multiply by a form of 1; ♣:: Pythagorean identity

Trigonometric Half Angle Identities Answers