Question

Just the answer please.

6: http://imgur.com/Hj1xH7O

7: http://imgur.com/R5OXuv0

8: http://imgur.com/VHDkHAS

9: http://imgur.com/9DIPE2W

10: http://imgur.com/lPDXgDj

Answer 1

Answer on Question #58368 – Math – Trigonometry

Question

1. What is the period of the sinusoid given by $y = -3\cos \left(\frac{2\pi}{5} x\right)$

Solution

The regular period of $\cos(x)$ function is $2\pi$. Period formula for sines $\sin(kx)$ and cosines $\cos(kx)$ is $\frac{2\pi}{|k|}$, where $k$ is a coefficient before $x, k \neq 0$. Then period of the given function is $\frac{2\pi}{\left|\frac{2\pi}{5}\right|} = 5$.

**Answer:** 5.

Question

2. Choose the function whose graph is given by

$$y = 0.5 \cos x$$ $$y = \cos (2x)$$ $$y = -0.5 \sin x$$ $$y = \cos x$$

**Answer:** $y = 0.5 \cos x$.

Question

3. What is the amplitude of the sinusoid given by $y = -3\sin (5x)$?

Solution

Amplitude of sine and cosine functions are calculated as the absolute value of coefficient standing before function, i.e. $|-3|$ in this problem. Then answer is 3.

**Answer:** 3.

Question

4. Which equation represents the graph of $y = \sin x$ reflected across the y-axis then shifted vertically up by 2 units?

$$y = - \sin x - 2$$ $$y = \sin (x - 2)$$ $$y = \sin x - 2$$ $$y = \sin (- x) + 2$$

Answer: $y = \sin (-x) + 2$

Question

5. Reflecting the graph of $y = \sin x$ across the y-axis is the same as reflecting it across the x-axis.

True

False

Answer: True.

www.AssignmentExpert.com