Calculate a and b: (Note: triangle is not drawn to scale) a= b= cm cm 5 cm 44% a B с SENSE MAKING In a right traingle, which side is the longest? What does this say about the values of sine and cosine? Can they exceed 1? Can the sides a and b exceed the hypotenuse?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. 

Calculate \( a \) and \( b \):

(Note: triangle is not drawn to scale)

[Diagram Description]
The diagram describes a right triangle \( \triangle ABC \) with:
- \( \angle B \) as the right angle.
- \( AB = 5 \, \text{cm} \).
- \(\angle C = 44^\circ\).
- \( AC \) labeled as \( b \).
- \( BC \) labeled as \( a \).

[End of Diagram Description]

\( a = \, \_\_\_ \, \text{cm} \) \(\, \boxed{\checkmark} \)

\( b = \, \_\_\_ \, \text{cm} \) \(\, \boxed{\checkmark} \)

**SENSE MAKING**

In a right triangle, which side is the longest? What does this say about the values of sine and cosine? Can they exceed 1? Can the sides \( a \) and \( b \) exceed the hypotenuse?
Transcribed Image Text:1. Calculate \( a \) and \( b \): (Note: triangle is not drawn to scale) [Diagram Description] The diagram describes a right triangle \( \triangle ABC \) with: - \( \angle B \) as the right angle. - \( AB = 5 \, \text{cm} \). - \(\angle C = 44^\circ\). - \( AC \) labeled as \( b \). - \( BC \) labeled as \( a \). [End of Diagram Description] \( a = \, \_\_\_ \, \text{cm} \) \(\, \boxed{\checkmark} \) \( b = \, \_\_\_ \, \text{cm} \) \(\, \boxed{\checkmark} \) **SENSE MAKING** In a right triangle, which side is the longest? What does this say about the values of sine and cosine? Can they exceed 1? Can the sides \( a \) and \( b \) exceed the hypotenuse?
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