Triangular Trigonometry

Given that the $\sin\theta=\frac{4}{5},\ \ what\ is\ the\ \sec\theta?$  

•  $\sec\theta=\frac{5}{4}$  

•  $\sec\theta=\frac{3}{4}$  

•  $\sec\theta=\frac{5}{3}$  

•  $\sec\theta=\frac{3}{5}$  

Given that the  $\cos\theta=\frac{3}{8},\ what\ is\ the\ \tan\theta?$  

•  $\tan\theta=\frac{\sqrt{55}}{3}$  

•  $\tan\theta=\frac{\sqrt{55}}{8}$  

•  $\tan\theta=\frac{8}{3}$  

•  $\tan\theta=\frac{3\sqrt{55}}{55}$  

Given that the

 $\sec\theta=\frac{10}{9},\ what\ is\ the\ \cot\theta?$  

•  $\cot\theta=\frac{9\sqrt{19}}{19}$  

•  $\cot\theta=9\sqrt{19}$  

•  $\cot\theta=\frac{\sqrt{19}}{9}$  

•  $\cot\theta=\frac{9}{10}$  

Find the  $\sin\theta$ given the point (-1,5) which is located on the terminal side of an angle  $\theta$  .

•  $\sin\theta=\frac{5\sqrt{26}}{26}$  

•  $\sin\theta=-\frac{5\sqrt{26}}{26}$  

•  $\sin\theta=\frac{\sqrt{26}}{5}$  

•  $\sin\theta=-\sqrt{26}$  

Find the  $\secθ$   given the point (4,-3) which is located on the terminal side of an angle  $\theta$  .

• 
  

  $\sec\theta=\frac{4}{5}$
  

• $\sec\theta=-\frac{4}{5}$

• $\sec\theta=\frac{3}{5}$

• $\sec\theta=-\frac{5}{3}$

• $\sec\theta=\frac{5}{4}$

Find the  $\tanθ$   given the point (-5,8) which is located on the terminal side of an angle  $\theta$  .

•  $\tan\theta=\frac{8}{5}$  

•  $\tan\theta=-\frac{8}{5}$  

•  $\tan\theta=\frac{\sqrt{89}}{5}$  

•  $\tan\theta=-\frac{5\sqrt{89}}{89}$  

•  $\tan\theta=-\frac{\sqrt{89}}{8}$  

Find the  $\cosθ$   given the point (-6,-4) which is located on the terminal side of an angle  $\theta$  .

•  $\cos\theta=\frac{3\sqrt{13}}{13}$  

•  $\cos\theta=-\frac{3\sqrt{13}}{13}$  

•  $\cos\theta=\frac{\sqrt{13}}{3}$ 

•  $\cos\theta=-\frac{\sqrt{13}}{3}$  

•  $\cos\theta=-\frac{2\sqrt{13}}{2}$  

Find the $\cos\theta$  on the given diagram.

•  $\cos\theta=\frac{\sqrt{55}}{8}$  

•  $\cos\theta=\frac{\sqrt{55}}{3}$  

•  $\cos\theta=\frac{\sqrt{73}}{8}$  

•  $\cos\theta=\frac{\sqrt{73}}{3}$  

Find the  $\csc\theta$   on the given diagram.

•  $\csc\theta=\frac{\sqrt{3}}{2}$  

•  $\csc\theta=\frac{2\sqrt{3}}{3}$  

•  $\csc\theta=\frac{\sqrt{3}}{3}$  

•  $\csc\theta=\sqrt{3}$  

Find the  $\cot\theta$  on the given diagram.

•  $\cot\theta=\frac{\sqrt{2}}{4}$  

•  $\cot\theta=\frac{\sqrt{2}}{2}$  

•  $\cot\theta=2\sqrt{2}$  

•  $\cot\theta=\frac{2\sqrt{2}}{3}$