Alternative Proof Methods in Trigonometry

Alternative Proof Methods in Trigonometry

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial discusses different methods of proving trigonometric identities, focusing on the limitations of using triangles and introducing a faster alternative proof method. It explains the use of the double angle formula and guides on selecting the best identity for proofs. The tutorial also details the use of the secant squared identity and concludes with a summary of the proof and key takeaways.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a limitation of using the triangle method for proving trigonometric identities?

It requires complex calculations.

It only works for obtuse angles.

It restricts the angle to be acute.

It cannot be used for any angles.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle range is restricted in the triangle method?

90 to 180 degrees

0 to 360 degrees

0 to 90 degrees

0 to 180 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the alternative proof method considered faster?

It directly uses the triangle method.

It avoids using any formulas.

It skips the use of identities.

It uses fewer steps.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the alternative proof method?

Avoiding the use of identities

Using the triangle method

Speed and efficiency

Complex calculations

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which form of the double angle formula is most useful for expressing in terms of tangent?

Sine squared plus cosine squared

Two cosine squared minus one

Cosine squared minus sine squared

One minus two sine squared

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the basic form of the double angle formula for cosine?

Cosine squared minus sine squared

One minus two cosine squared

Sine squared minus cosine squared

Two sine squared minus one

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What identity is used to simplify expressions in the alternative proof?

Pythagorean identity

Cosine squared identity

Secant squared identity

Sine squared identity

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