Chapter 6: Q 118. (page 382)

Find two negative and three positive angles, expressed in radians ,for which the point on the unit circle that corresponds to each angle is $(\frac{- \sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ .

Short Answer

Expert verified

Two negative angles are $\cos t = \frac{- \sqrt{2}}{2}, \tan t = - 1$ and positive angles are $\sin t = \frac{\sqrt{2}}{2}, c s c t = \frac{2}{\sqrt{2}}$

Step by step solution

Step 1. Given information .

Consider the given points $(\frac{- \sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ .

Step 2. Finding negative and positive angles.

We follow the definition of six trigonometric function using $P = (\frac{- \sqrt{2}}{2}, \frac{\sqrt{2}}{2}) = (x, y)$ where $x = \frac{- \sqrt{2}}{2}, y = \frac{\sqrt{2}}{2}$

$\sin t = y = \frac{\sqrt{2}}{2}, \cos t = x = \frac{- \sqrt{2}}{2}, \tan t = \frac{y}{x} = - 1 c s c t = \frac{2}{\sqrt{2}}, s e c t = \frac{- 2}{\sqrt{2}}$

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Find two negative and three positive angles, expressed in radians ,for which the point on the unit circle that corresponds to each angle is $(\frac{- \sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ .

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Finding negative and positive angles.

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Find two negative and three positive angles, expressed in radians ,for which the point on the unit circle that corresponds to each angle is-22,22.

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Finding negative and positive angles.

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Most popular questions from this chapter

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Find two negative and three positive angles, expressed in radians ,for which the point on the unit circle that corresponds to each angle is $(\frac{- \sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ .