Unit Degree and Trigonometric Ratio

The angle 

 $\pi$  can be converted into degree form as…. .    

•  $3.14\degree$  

•  $6.28\degree$  

•  $90\degree$  

•  $180\degree$  

•  $360\degree$  

The angle 43^○30’36” can be written in decimal degree form as … .

• 43.0501^○

• 43.051^○

• 43.51^○

• 43.56^○

• 43.506^○

Given some statements below.
 $i.\ \sin\ \alpha\ =\frac{opposite}{hypotenuse}$ 

 $ii.\ \sin\ \alpha=\frac{hypotenuse}{opposite}$ 

 $iii.\ \tan\ \alpha=\frac{opposites}{adjacent}$ 

 $iv.\ \cos\ \alpha=\frac{opposite}{hypotenuse}$ 

 $v.\ \cos\ \alpha=\frac{adjacent}{hypotenuse}$ 
Among the statements, the true statements are ... .

• i,ii, and iii
  

• i,ii, and iv

• i,ii, and v
  

• i,iii, and v
  

• i,iii, and iv

given a right triangle above.

The opposite side to the theta is ... .

(a)  

From the picture above, the value of cos theta is ... .

• $\frac{b}{a}$

• $\frac{c}{a}$

• $\frac{a}{c}$

• $\frac{b}{c}$

• $\frac{a}{b}$

Given the value of

 $\sin\theta=\frac{2}{3},\ for\ 0\degree<\theta<90\degree$  the value of tan theta is ... .

•  $\frac{\sqrt{5}}{3}$  

•  $\frac{\sqrt{5}}{2}$  

•  $\frac{2\sqrt{5}}{5}$  

•  $\frac{3\sqrt{5}}{5}$  

•  $\frac{3}{2}$  

 $Given\ the\ value\ of\ \tan\ \theta=\frac{5}{4}\ for\ 0\degree<\theta<90\degree,\$  

 $the\ value\ of\ \operatorname{cosec}\ \theta\ is\ ...\ .$  

•  $\frac{4}{\sqrt{41}}$  

•  $\frac{5}{\sqrt{41}}$  

•  $\frac{4}{5}$  

•  $\frac{\sqrt{41}}{4}$  

•  $\frac{\sqrt{41}}{5}$  

 $\frac{1}{\sin\ x}=\ ...\ .$  

• sec x
  

• cosec x
  

• cotg x
  

• sec x cos x
  

• sec x cosec x
  

 $\frac{1}{\sec\ x}=\ ...\ .$  

• sin x
  

• cos x
  

• cosec x
  

• tan x
  

• cotg x
  

 $in\ a\ right\ triangle,\ the\ value\ of\ \frac{1}{\tan\ \theta}equals\ to\ ...\ .$  

•  $\frac{opposite}{hypotenuse}$  

•  $\frac{adjacent}{hypotenuse}$  

•  $\frac{opposite}{adjacent}$  

•  $\frac{adjacent}{opposite}$  

•  $\frac{hypotenuse}{opposite}$