Trigonometry: Cartesian Plane

Given: OP has been rotated through $\theta$  degrees such that OP has 8 units and P is the point (4;y) 
O is the origin.
 $\theta\ \epsilon\ \left[0\degree;90\degree\right]$  
Without the use of a calculator, what is the value of tan $\theta$  

•  $\frac{4\sqrt{3}}{4}$  

•  $\frac{4\sqrt{3}}{8}$  

•  $\frac{4}{8}$  

Tags

CCSS.HSF.TF.A.2

If  $\cos\theta=\frac{7}{25}$  and  $\theta\epsilon\left[0\degree;90\right]$  
What is the value of  $\tan\theta\times\cos\theta$  1

•  $\frac{24}{25}$  

•  $\frac{25}{24}$  

•  $-\frac{24}{25}$  

•  $\frac{24}{7}$  

Tags

CCSS.HSF.TF.C.8

If $\cos\theta=\frac{7}{25}$ and  $\theta\epsilon\left[0\degree;90\degree\right]$  
What is the value of  $\sin\theta$  ?

•  $\frac{24}{25}$  

•  $\frac{7}{25}$  

•  $\frac{7}{24}$  

•  $\frac{24}{7}$  

Tags

CCSS.HSF.TF.C.8

Which quadrant(s) is sin $\theta$  positive?

• I

• II

• III

• IV

Tags

CCSS.HSF.TF.A.2

Which quadrant(s) is $\tan\theta$ negative? 

• I

• II

• III

• IV

Tags

CCSS.HSF.TF.A.2

In the trigonometric ratios, r is always positive.

Is the above statement true or false?

• True

• False

Tags

CCSS.HSF.TF.A.2

Which of the following is the correct trigonometric ratio for sin $\theta$  ?

•  $\frac{y}{r}$  

•  $\frac{x}{r}$  

•  $\frac{y}{x}$  

Tags

CCSS.HSG.SRT.C.6

Which of the following is the correct trigonometric ratio for $\cos\theta$  ?

•  $\frac{y}{r}$  

•  $\frac{x}{r}$  

•  $\frac{y}{x}$  

Tags

CCSS.HSG.SRT.C.6

 Which of the following is the correct trigonometric ratio for  $\tan\theta$  ? 

•  $\frac{y}{r}$  

•  $\frac{x}{r}$  

•  $\frac{y}{x}$  

Tags

CCSS.HSG.SRT.C.6

Which quadrant(s) is cos $\theta$  positive?

• I

• II

• III

• IV

Tags

CCSS.HSF.TF.A.2