Trigonometry: Mathematics MCQ

• Answers are in BOLD Option name.
• Click her for IIT JEE, CET and other Entrance Exams MCQ.
  

 Q.1. If  then the general value of  is

A) 

B) 

C) 

D)   

Explanation-

 

Q.2. If: where;   

A) 

B) 

C) 

D)  

Explanation-

   

Q.3. If  in a triangle  then cos A: cos B: cos C is equal to 

A) 7:12:95

B) 7:19:25

C) 7:91:52

D) 71:92:5

Explanation-

 

Q.4. In each of the questions below , four choices are given of which only are is correct .You have to select the correct answer which is the most appropriate.

If x = sin ​

A) x - y =1

B) x + y = - 1

C) x + y = 1

D) y - x = 1

Explanation-

 

Q.5. In each of the questions below , four choices are given of which only are is correct .You have to select the correct answer which is the most appropriate.

If 0< x <  

A) 

B) 

C) 

D) none of these

Explanation-

Since, 0< x < 

when n>2, both  will decreases and hence

when n>2, both  will increase and hence

 

Q.6.In each of the questions below , four choices are given of which only are is correct .You have to select the correct answer which is the most appropriate.

If , then  is equal to

A) a/d

B) c/d

C) b/c

D) d/a

Explanation-

 

Q.7. In each of the questions below , four choices are given of which only are is correct .You have to select the correct answer which is the most appropriate.

In a quadrilateral if 

 

A) 0

B) 6

C) 3

D) 2

Explanation-

Given 

sin A + sin B + sin C + sin D = 4

 

Q.8. The expression

is 

A) dependent on B

B) dependent on A and B

C) dependent on A

D) independent of A and B

Explanation-

                              

              

              

Hence it depends on A.

Trick: Put two different values of A.

Let ; then the value of expression will be

                              

Now put , then the value of expression will be 

            

It means that the expression has different values for different A i.e., it depends on A.

Now similarly for , the value of expression will be 

 the value of

expression will be  

Hence, the expression has the same value for different values of  B, so it does not depend on B.

Q.9.  is equal to

A) 2

B) 2 sin 

C) 4

D) 4 sin  

Explanation-

           

Q.10. If , then  is equal to

A) 3

B) 

C) 

D) 2

Explanation-

Given, 

Now, (cot A - 1) (cot B - 1)                                                                       ....(i)