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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 7: Q. 48 (page 504)

The exact value of the expression.
$\sin (- \frac{蟺}{12})$

Short Answer

Expert verified

The value of $\sin (- \frac{蟺}{12}) = - \frac{\sqrt{2 - \sqrt{3}}}{2}$

Step by step solution

01

Step 1. Given information

The given expression is $\sin (- \frac{蟺}{12})$

02

Step 2. Find the value of sin-π12

We know that $\sin (- \frac{蟺}{12}) = \sin (- 15)$

Then,

We know that,

\sin \frac{胃}{2} = \sqrt{\frac{1 - \cos 胃}{2}} \sin \frac{(- 30)}{2} = \sqrt{\frac{1 - \frac{\sqrt{3}}{2}}{2}} \sin \frac{(- 30)}{2} = - \frac{\sqrt{2 - \sqrt{3}}}{2}

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Most popular questions from this chapter

Establish each identity.

$\frac{\cos 胃 + \sin 胃 - \sin^{3} 胃}{\sin 胃} = c o t 胃 + \cos^{2} 胃$

Suppose that f and g are two functions with the same domain. If $f (x) = g (x)$ for every x in the domain, the equation is called a(n) ____. Otherwise, it is called a(n) _____ equation.

True or False. $\sin (2 胃)$ has two equivalent forms:

$2 \sin u \cos u$ and $\sin^{2} 胃 - \cos^{2} 胃$

Express the product $\sin (3 胃) \sin (5 胃)$ as a sum containing only sines or only cosines.

True or False:

$\tan 2 胃 + \tan 2 胃 = \tan (4 胃)$

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