Trigonemetric Ratios / Angles and Tangents of Circles

Find the value of  $\cos\theta$ 

•  $\frac{5}{13}$  

•  $\frac{12}{5}$  

•  $\frac{12}{13}$  

•  $\frac{13}{5}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of $\sin\theta$  

•  $\frac{17}{8}$  

•  $\frac{15}{8}$  

•  $\frac{8}{17}$  

•  $\frac{15}{17}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of  $\tan\theta$  

•  $\frac{26}{10}$  

•  $\frac{5}{12}$  

•  $\frac{24}{26}$  

•  $\frac{12}{5}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

 $\sin\theta=\frac{3}{5},\ \tan\theta=\frac{3}{4},\ \cos\theta=x.$  Find the value of x.

•  $\frac{3}{4}$  

•  $\frac{3}{5}$  

•  $\frac{4}{5}$  

•  $\frac{5}{3}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Given ADC is a straight line and $\sin\theta=\frac{12}{13}$  . Find the value of X.

• 24

• 26

• 28

• 30

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

ABD is a straight line. Given AB=BD and $\cos\theta=\frac{3}{5}$  . Find the value of X.

• 4

• 6

• 8

• 10

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value for each of the following  $\sin45\degree+\cos45\degree$  

•  $\sqrt{2}$  

•  $\frac{1}{\sqrt{2}}$  

•  $\frac{1}{2}$  

• 2

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

In the diagram, ABCD is a straight line. Given AD=DC and B is the midpoint of AC. Find the value of  $\theta$  

•  $21.04\degree$   

•  $22.62\degree$ 

•  $39.72\degree$  

•  $67.38\degree$  

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In the diagram, ACE is straight line. Given that  $\tan\theta=\frac{4}{3}$ . Find the area, in  $cm^2$  of triangle ABC.

•  $24\ cm^2$  

•  $42\ cm^2$  

•  $\sqrt{39}$  

•  $2\sqrt{2}$  

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In the diagram, ACE is a straight line. Given $\tan\theta=\frac{4}{3}$ . Find the area, in  $cm^2$ , of triangle ABC.

•  $24\ cm^2$  

•  $36\ cm^2$  

•  $48\ cm^2$  

•  $64\ cm^2$  

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.9