Try the fastest way to create flashcards
Question

# Graph each function over a one-period interval. $y=1-2 \csc \left(x+\frac{\pi}{2}\right)$

Solution

Verified
Step 1
1 of 4

We are given:

$y=1-2\csc \left(x+\dfrac{\pi}{2}\right)$

Graph the corresponding reciprocal function as shown by the orange dashed curve:

$y=1-2\sin \left(x+\dfrac{\pi}{2}\right)$

Note: The period of $y=c+a\cos b(x-d)$ is $\frac{2\pi}{b}$. Since $b=1$, then the period is: $\frac{2\pi}{1}=2\pi$. This is the graph of $y=-2\sin x$ that is translated $\frac{\pi}{2}$ to the left and translated 1 unit up.

## Recommended textbook solutions

#### Algebra and Trigonometry for College Readiness

1st EditionISBN: 9780131366268John Hornsby, Margaret L. Lial
7,830 solutions

#### Algebra and Trigonometry

1st EditionISBN: 9780470470817Sheldon Axler
114 solutions

#### Algebra and Trigonometry

1st EditionISBN: 9780470585795 (3 more)Sheldon Axler
114 solutions

#### Zbirka Rešenih Zadataka iz Matematike 2

ISBN: 9788617174611Vene T. Bogoslavov