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?

• $$20\sqrt{2}cm$$  
  

• $$20\sqrt{3}cm$$  

• $$40\sqrt{3}cm$$  
  

• $$40\sqrt{2}cm$$