BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter T, Problem 5DDT
To determine

To express: The lengths a and b in the figure in terms of θ.

Expert Solution

Answer to Problem 5DDT

The length of a is 24sinθ and the length of b is 24cosθ.

Explanation of Solution

Formula used:

If θ is one of the acute angles in a triangle, then

sinθ=oppositesidehypotenusecosθ=adjacentsidehypotenus

Calculation:

Use the above mentioned formula and from the graph it is clear that,

sinθ=a24a=24sinθ

Use the above mentioned formula and from the graph it is clear that,

cosθ=b24b=24cosθ

Thus, the length of a is 24sinθ and the length of b is 24cosθ.

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