Chapter 11.3, Problem 33E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 33 to36, we expand the list of trigonometric identities. As you may recall, an identity is a statement that is true for all permissible choices of the variable (see page 502.)*

a) For

*(HINT: *
*)*

b) Use your calculator to show that

To determine

**(a)**

**To prove:**

For

Explanation

**Given:**

For

**Definition used:**

The trigonometric ratios:

**Calculation:**

Consider the angle

From the figure, the length of the opposite leg is *a*, the length of the adjacent leg is *b* and the hypotenuse is *c*.

Consider

To determine

**(b)**

**To show:**

The trigonometric ratio

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