The Six Trigonometric Ratios

The Six Trigonometric Ratios

Open Ended

1.Suppose one of the angles in a right triangle is 45°. Determine the length of the sides of the triangle if the hypotenuse measures 3 units.

Multiple Choice

It is a branch of mathematics that deals with the relationships of the lengths and the angles of triangles.

• Trigonometry

• Trigometry

• Geometry

• Algebra

Multiple Choice

Given that the two internal angles of a triangle are 45∘ and 60∘, what is the measurement of the third angle?

•  $75\degree$  
  

•  $45\degree$  
  

•  $30\degree$  
  

•  $60\degree$  
  

Multiple Choice

Which of the following trigonometric ratios increases when the value of cosine is also increased?

• Secant
  

• Tangent
  

• Sine
  

• Cosecant
  

Multiple Choice

Which of the following trigonometric ratios are reciprocal of one another?

• Sine-Cosine
  

• Secant-Cosine
  

• Cosine-Cosecant
  

• Tangent-Secant
  

Multiple Choice

In a 30∘−60∘−90∘ special triangle, which is congruent to sin⁡⁡(30∘)?

•  $\sec\left(60\degree\right)$  
  

•  $\csc\left(60\degree\right)$  

•  $\cos\left(60\degree\right)$  
  

•  $\cos\left(30\degree\right)$  
  

Multiple Choice

•  $\tan\left(A\right)=\frac{3}{4}$ 
  

•  $\sec\left(A\right)=\frac{5}{4}$  

•  $\csc\left(A\right)=\frac{3}{5}$  
  

•  $\cos\left(A\right)=\frac{4}{5}$  
  

Multiple Choice

A square-shaped handkerchief, whose side measures 20 cm, is folded evenly along one of its diagonal line which formed a triangle. What is the length of the hypotenuse of the triangle?

•  $20\sqrt{2}cm$  
  

•  $20\sqrt{3}cm$  

•  $40\sqrt{3}cm$  
  

•  $40\sqrt{2}cm$