please and thank you **Part 1:** In $ \triangle ABC $, $ \angle A $ and $ \angle B $ are (Choose one)**Part 2:** Use $ a, b, $ and $ c $ to fill in the blanks. Make sure to use the appropriate upper-case or lower-case letters.\[ \sin A = \quad \qquad \cos A = \] \[ \sin B = \quad \qquad \cos B = \]**Part 3:** Select **all** of the true statements.- [ ] $ \sin A = \sin B $- [ ] $ \cos A = \sin B $- [ ] $ \sin A = \cos B $- [ ] $ \cos A = \cos B $- [ ] None of the above is true.**Part 4:** Fill in the blank.\[ \cos(37^\circ) = \sin (\square ^\circ) \] ### Right Triangle Trigonometry Exercise#### DescriptionThe diagram illustrates a right triangle labeled $ \triangle ABC $ with sides $ a $, $ b $, and $ c $. Angle $ C $ is marked as the right angle.#### Instructions- **Part 1**: Identify the type of angles $ \angle A $ and $ \angle B $ in $ \triangle ABC $. - **Part 2**: Complete the following trigonometric identities using sides $ a $, $ b $, and $ c $. Ensure to use the correct upper-case or lower-case letters. \[ \sin A = \quad \quad \cos A = \] \[ \sin B = \quad \quad \cos B = \]### Graph/Diagram Explanation- **Triangle $ \triangle ABC $:** - **Sides:** - $ AB = c $ - $ AC = b $ - $ BC = a $ - **Right Angle at $ C $:** - This is indicated by the small square at $ \angle C $.#### Considerations- Recall that the sine of an angle in a right triangle is the ratio of the opposite side to the hypotenuse.- The cosine of an angle is the ratio of the adjacent side to the hypotenuse.- Apply these definitions to complete the expressions using the given side lengths.

Name: please and thank you **Part 1:** In $ \triangle ABC $, $ \angle A \
Uploaded: 2024-03-20T07:07:37.000Z
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Description: please and thank you **Part 1:** In \( \triangle ABC $, $ \angle A $ and $ \angle B $ are (Choose one)**Part 2:** Use $ a, b, $ and $ c $ to fill in the blanks. Make sure to use the appropriate upper-case or lower-case letters.\[ \sin A = \

In a right angled triangle:- Sin X = Perpendicular/Hypotenuse Cos X = Base/Hypotenuse Sin(90-X)= Cos…

Math

Calculus

The figure below is a right triangle with side lengths a, b, and c. Suppose that m L A does not equal m 2 B. a Complete the following. Part 1: In AABC, LA and 4B are (Choose one) Part 2: Use a, b, and c to fill in the blanks. Make sure to use the appropriate upper-case or lower-case letters. sin.A cos.A sinB cos B %3!

The figure below is a right triangle with side lengths a, b, and c. Suppose that m L A does not equal m 2 B. a Complete the following. Part 1: In AABC, LA and 4B are (Choose one) Part 2: Use a, b, and c to fill in the blanks. Make sure to use the appropriate upper-case or lower-case letters. sin.A cos.A sinB cos B %3!

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Topic Video

Question

please and thank you

**Part 1:** In $ \triangle ABC $, $ \angle A $ and $ \angle B $ are (Choose one)

**Part 2:** Use $ a, b, $ and $ c $ to fill in the blanks.
Make sure to use the appropriate upper-case or lower-case letters.

\[ \sin A = \quad \qquad \cos A = \]
\[ \sin B = \quad \qquad \cos B = \]

**Part 3:** Select **all** of the true statements.
- [ ] $ \sin A = \sin B $
- [ ] $ \cos A = \sin B $
- [ ] $ \sin A = \cos B $
- [ ] $ \cos A = \cos B $
- [ ] None of the above is true.

**Part 4:** Fill in the blank.

\[ \cos(37^\circ) = \sin (\square ^\circ) \]

### Right Triangle Trigonometry Exercise

#### Description
The diagram illustrates a right triangle labeled $ \triangle ABC $ with sides $ a $, $ b $, and $ c $. Angle $ C $ is marked as the right angle.

#### Instructions
- **Part 1**: Identify the type of angles $ \angle A $ and $ \angle B $ in $ \triangle ABC $.

- **Part 2**: Complete the following trigonometric identities using sides $ a $, $ b $, and $ c $. Ensure to use the correct upper-case or lower-case letters.

\[
\sin A = \quad \quad \cos A =
\]

\[
\sin B = \quad \quad \cos B =
\]

### Graph/Diagram Explanation
- **Triangle $ \triangle ABC $:**
- **Sides:**
- $ AB = c $
- $ AC = b $
- $ BC = a $
- **Right Angle at $ C $:**
- This is indicated by the small square at $ \angle C $.

#### Considerations
- Recall that the sine of an angle in a right triangle is the ratio of the opposite side to the hypotenuse.
- The cosine of an angle is the ratio of the adjacent side to the hypotenuse.
- Apply these definitions to complete the expressions using the given side lengths.

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