Ratios & Graphs of Trigonometric Functions

Which of the following is not the pair of angle $\theta$  and its corresponding reference angle,  $\alpha$  

•  $\theta=206\degree\ ,\ \alpha=26\degree$  

•  $\theta=337\degree,\ \alpha=23\degree$  

•  $\theta=112\degree,\ \alpha=68\degree$  

•  $\theta=195\degree,\ \alpha=75\degree$  

The diagram below shows a unit circle. State the possible values of a and b.

• $a=0.9397,\ b=0.3420$

• $a=0.9397,\ b=-0.3420$

• $a=-0.9397,\ b=0.3420$

• $\alpha=-0.9397,\ b=-0.3420$

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.C.8

Given  $\cos\ x=\frac{3}{5}$  where  $270\degree\le x\le360\degree.\$  find the values of  $\tan\ x$  

•  $-\frac{4}{3}$  

•  $-\frac{3}{4}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

Tags

CCSS.HSF.TF.C.8

Find the value of  $\sin\ 30\degree-\cos\ 30\degree$  

•  $\frac{1-\sqrt{3}}{2}$  

•  $-\frac{1-\sqrt{3}}{2}$  

•  $\frac{\sqrt{3}-1}{2}$  

•  $-\frac{1+\sqrt{3}}{2}$  

Tags

CCSS.HSF.TF.A.3

The diagram below shows the graph of $y=\sin\ x$  and  $y=\cos\ x$  . Find the value of k

•  $45\degree$  

•  $210\degree$  

•  $225\degree$  

•  $315\degree$  

The diagram below shows the graph of a cosinus functions. What is the function of the graph?

• $y=\cos\ 2x$

• $y=4\cos\ \frac{1}{2}x$

• $y=4\ \cos\ \frac{2}{3}x$

• $y=4\ \cos\ 2x$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Which graph represents  $y=\cos\ x$  for $90\degree\le x\le270\degree$  

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

The diagram below shows a part of graph $y=\cos\ x$  . What is coordinate of R?

•  $\left(110\degree,-0.5\right)$  

•  $\left(120\degree,-0.5\right)$  

•  $\left(150\degree,-0.5\right)$  

•  $\left(160\degree,-0.5\right)$  

Calculate the value of p of each of the following trigonometric function

(final answer only without unit)

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The diagram shows he height of an ocean tide. State the amplitud of the tide.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.5