Properties of Trigonometric Functions

Submitted by ladislav.foltyn on Thu, 04/18/2019 - 11:00
Project ID: 
6000000051
Accepted: 
SubArea: 
Sine, cosine, tangent and cotangent
Type: 
Match
Layout: 
6x6
Question: 
Match each of the given trigonometric functions with its true property.
Questions Title: 
Functions
Answers Title: 
Properties of functions
Question 1: 
cot⁡x
Answer 1: 

The function has a period of π.

Question 2: 
2sin⁡x
Answer 2: 

The range of the function is the closed interval [−2;2].

Question 3: 
−sin⁡x
Answer 3: 

The function is increasing on the interval [π2;3π2].

Question 4: 
tan⁡x2
Answer 4: 

The domain of the function is {x∈R:x≠2kπ+π}.

Question 5: 
cos⁡x
Answer 5: 

The function is an even function.

Question 6: 
−12cos⁡x
Answer 6: 

The range of the function is the closed interval [−12;12].

Tex: 
% tiket 32056 \NastavOD{2} \NastavOT{3}