Explore topic-wise MCQs in Maths.

This section includes 109 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

1.

If tan2 +cot2 = 2, then what is the value of 2sec cosec ?

A. 0
B. 1
C. 2
D. 4
Answer» E.
2.

If sin3 =cos(20 - ) then find out the value of .

A. 40
B. 35
C. 60
D. 30
Answer» C. 60
3.

PQR is right angled at Q. If cos P = 3/5, then what is the value of cos R?

A. $$ {3 over4}$$
B. $$ {5 over3}$$
C. $$ {4 over5}$$
D. $$ {4 over3}$$
Answer» D. $$ {4 over3}$$
4.

If $$ {sin { }}={1 over { sqrt{2}}}$$ then (tan +cos )=?

A. $${1 over{ sqrt{2}}}$$
B. $${2 over{ sqrt{2}}}$$
C. $${3 over{ sqrt{2}}}$$
D. $$ {(1+ sqrt{2}) over{ sqrt{2}}}$$
Answer» E.
5.

If cosec =1.25 then $$ {4 tan -5 cos + 1 over sec + 4cot -1}=?$$

A. $$ {9 over 10}$$
B. 2
C. $$ {10 over 11}$$
D. $$ {1 over 2}$$
Answer» D. $$ {1 over 2}$$
6.

If A and B are acute angles and Sec A =3; Cot B=4, then the value of $$ {Cosec^{2}A}+Sin^{2}B over {Cot^{2}A+Sec^{2}B}$$ is:

A. 2
B. $$ {25 over 261}$$
C. $$ {322 over 323}$$
D. $$ {1 over 261}$$
Answer» D. $$ {1 over 261}$$
7.

$$ {Cos^4 +Sin^4 }={2 over3} $$ then the value of $$ {Cos^2 -Sin^2 +1}$$?

A. $$ {13 over15} $$
B. $$ {14 over15} $$
C. $$ {15 over14} $$
D. $$ {15 over13} $$
Answer» E.
8.

The value of $$ {(cos { 9 }+sin{ 81 }})({sec { {9 }+cosec{ 81 }}}) over{sin{ 56 }sec{ 34 }}+ {cos{ 25 }cosec{ 65 }}$$ is:

A. $$ {1 over 4}$$
B. 4
C. 2
D. $$ {1 over 2}$$
Answer» D. $$ {1 over 2}$$
9.

If sec tan = 1/3 what is sec + tan ?

A. 1
B. 9
C. 3
D. 1/9
Answer» D. 1/9
10.

(sec A + tan A 1) (sec A tan A+1) =?

A. cotA
B. 2cotA
C. tanA
D. 2tanA
Answer» E.
11.

$$ {3tan^{2}30 }-{4 over 3}{sin^{2}60 }- {1 over2}{cosec^{2}45 }+{4 over3}{sin^{2}90 =?}$$

A. $$ {2 over3}$$
B. $$ {1 over3}$$
C. $$ {4 over3}$$
D. $$ {5 over4}$$
Answer» C. $$ {4 over3}$$
12.

$$ {3sin60 -4sin^{3}60 =?}$$

A. $$ {2 sqrt{3}}$$
B. $$ {4 sqrt{3}}$$
C. 0
D. 50
Answer» D. 50
13.

The value of $$ {2(1-sin^{2} )}+{2(1-cos^{2} )}$$.

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
14.

The value of $$ {3sin30 -4sin^{3}30 }$$

A. Sin30
B. Cos60
C. sin90
D. Cos90
Answer» D. Cos90
15.

The value of sin222 + Sin268 + Cot2 30 is:

A. $$ {5 over 4}$$
B. $$ {3 over 4}$$
C. 4
D. 3
Answer» D. 3
16.

If tan A=n tan B and Sin A= m Sin B, then the value of Cos2A is

A. $$ {m^{2}+1 over {n^{2}+1}}$$
B. $$ {m^{2}+1 over {n^{2}-1}}$$
C. $$ {m^{2}-1 over {n^{2}-1}}$$
D. $$ {m^{2}-1 over {n^{2}+1}}$$
Answer» D. $$ {m^{2}-1 over {n^{2}+1}}$$
17.

If x+ y=90 , then what is the value of $$ { sqrt{cosx.cosecy-cosx.siny}}$$?

A. cosx
B. sinx
C. $$ { sqrt{sinx}}$$
D. $$ { sqrt{cosx}}$$
Answer» C. $$ { sqrt{sinx}}$$
18.

If sin2a = cos3a then the value of cot6 a cot2a?

A. 1
B. 2
C. 0
D. -1
Answer» B. 2
19.

If $$ {Acos^{2} +Bsin^{2} }={sin^{2} (sec^{2} +1) over{sec^{2} -1}}$$ and cot =?

A. $${ sqrt{B-2 over2-A}}$$
B. $${ sqrt{B-1 over2-A}}$$
C. $${ sqrt{B-1 over A-2}}$$
D. $${ sqrt{2-B over 2-A}}$$
Answer» C. $${ sqrt{B-1 over A-2}}$$
20.

The value of $$ {tan 40 +tan 20 + sqrt{3} tan20 tan40 }$$?

A. $$ { sqrt{12}}$$
B. $$ {1 over{ sqrt{3}}}$$
C. 1
D. $$ { sqrt{3}}$$
Answer» E.
21.

If a=tan + 1 and b=sin +cos then find (b2-1)a=?

A. ab
B. 2bsec
C. 2b
D. 2bsin
Answer» E.
22.

If sin -cos = ({7 over13} ) and 0 < <90 , then the value of Sin +Cos is

A. ({17 over13} )
B. ({13 over17} )
C. ({1 over13} )
D. ({1 over17} )
Answer» B. ({13 over17} )
23.

If 3 tan - 4 = 0 and 180 < < 270 then cosec = _______

A. $$- {5 over4}$$
B. $$ {4 over5}$$
C. $$ -{4 over5}$$
D. $$-{5 over4}$$
Answer» B. $$ {4 over5}$$
24.

The value of $$ cot { over 20} cot{3 over 20} cot{5 over20} cot{7 over 20} cot {9 over20}$$ is:

A. -1
B. $$ {1 over 2}$$
C. 0
D. 1
Answer» E.
25.

If $$ sin ={20 over 29}$$, then what is the value of sec sin ?

A. $$ {20 over 21}$$
B. $$ {29 over 20}$$
C. $$ {21 over 20}$$
D. $$ {21 over 29}$$
Answer» B. $$ {29 over 20}$$
26.

What is the value of the following

A. cosec A
B. cos A
C. secA
D. sinA
Answer» D. sinA
27.

If cosec 39 = x, the value of $$ {1 over {cosec^{2}{51 }}} +sin^{2} 39^{ }+tan^{2}{51^{ }}-{1 over {sin^{2}{51^{ }}}{Sec^{2}{39^{ }}}}$$ is-

A. $$ { sqrt{x^{2}-1}}$$
B. $$ { sqrt{1-x^{2}}}$$
C. $$ {x^{2}-1}$$
D. $$ {1-x^{2}}$$
Answer» D. $$ {1-x^{2}}$$
28.

If $$ {2 sin -cos over {cos +sin }}=1$$, then value of cot is:

A. $$ {1 over2}$$
B. $$ {1 over3}$$
C. 3
D. 2
Answer» B. $$ {1 over3}$$
29.

If sin cos = 7/13 and 00 < < 900 , then the value of sin + cos is :

A. 17/13
B. 13/17
C. 1/13
D. 1/17
Answer» B. 13/17
30.

The value of $${cosec^2} 18 -{1 over cot^272 }$$.

A. $${1 over sqrt { 3}}$$
B. $$ sqrt2 over {3 } $$
C. $${1 over2} $$
D. 1
Answer» E.
31.

Simplify $$ sqrt{(1-sin^{2} ) (1-cos^{2} )}$$.

A. Cot
B. Tan
C. Sec
D. Cosec
Answer» B. Tan
32.

The value of $$(x^{b+c})^{b-c}. (x^{c+a})^{c-a}.(x^{a+b})^{a-b}$$ when (x 0).

A. 1
B. 2
C. -1
D. 0
Answer» B. 2
33.

The value of $$ {(sec^{2} +tan cot -tan^{2} )}$$

A. 1
B. 2
C. 0
D. 4
Answer» C. 0
34.

What is the value of $$ {2tan53 over cot37 } -{cot80 over tan10 }$$ is:

A. 3
B. 2
C. 1
D. 0
Answer» D. 0
35.

If cos3A = X, then value of X?

A. 4cos3A + 3cosA
B. 3cosA 4cos3A
C. cosA + 4cos3A
D. 4cos3A 3cosA
Answer» E.
36.

(secA 1)/(secA + 1) is equal to?

A. (1 sinA)/(1 + sinA)
B. (1 cosA)/(1 + cosA)
C. (1 + cosA)/(1 cosA)
D. (1 + sinA)/(1 sinA)
Answer» C. (1 + cosA)/(1 cosA)
37.

If cos2 + cos2 = 2, then the value of tan3 + sin5 is :

A. 1
B. 0
C. 1
D. $$ {1 over 3 } $$
Answer» C. 1
38.

If cos = $${1 over sqrt{10}}$$, then tan is equal to.

A. $$ {1 over sqrt{3} } $$
B. $$ {1 over 3 } $$
C. $$ { sqrt{3} } $$
D. 3
Answer» E.
39.

Solve the given equation.
$$ {{cot 30 } over {1+sin 45 }}+{{1+sin 45 } over cot 30 }=?$$

A. $$ {5 sqrt{3}}-{6 sqrt{6}} over 6$$
B. $$ {3-2 sqrt{3}}$$
C. $$ {14 sqrt{3}}-{5 sqrt{6}} over 6$$
D. $$ {6 sqrt{6}}-{5 sqrt{3}} over 6$$
Answer» D. $$ {6 sqrt{6}}-{5 sqrt{3}} over 6$$
40.

One angle of a triangle is 55 . If the other two angles are in the ratio 9:16, find the angles?

A. 65 115
B. 90 160
C. 55 165
D. 45 80
Answer» E.
41.

If $$ sin( +30^0)= {3 over sqrt { 12} } $$ then find cos2 :

A. $$ {1 over 4} $$
B. $$ {3 over 4} $$
C. $${ sqrt { 3} } over 2 $$
D. $$ {1 over 2} $$
Answer» C. $${ sqrt { 3} } over 2 $$
42.

If x cos2300. sin600=$${tan^2{45}^0.sec60^0} over cosec 60^0$$ then the value of x :

A. $$ 1 over sqrt { 3} $$
B. $$ 2{2 over 3} $$
C. $$ 1 over sqrt { 2} $$
D. $$ {1 over 2} $$
Answer» C. $$ 1 over sqrt { 2} $$
43.

If $$ {sin cosec over tan }=4 $$ then Find the value of tan ?

A. 4
B. $$ {1 over 4}$$
C. 3
D. 5
Answer» C. 3
44.

If $$ { sqrt{3} CosA=SinA}$$ then what is the value of Cot A?

A. $$ { sqrt{3}}$$
B. $$ {2 over { sqrt{3}}}$$
C. $$ {1 over { sqrt{3}}}$$
D. 2
Answer» D. 2
45.

If 4sin2 1 = 0 and angle is less than 900. The value of cos2 + tan2 is:
(Take 00 < < 900)

A. $$ 13 over 12$$
B. $$ 12 over 11$$
C. $$ 11 over 9$$
D. $$ 17 over 15$$
Answer» B. $$ 12 over 11$$
46.

If tan = 2, then the value of $$ {cosec^2 - sec^2 } over{cosec^2 + sec^2 } $$ is :

A. $$ -{15 over 9} $$
B. $$ {3 over 5} $$
C. $$ -{3 over 5} $$
D. $$ {17 over 5} $$
Answer» D. $$ {17 over 5} $$
47.

If 0 900 and 4cos2 - $$4{ sqrt { 3} }cos $$ + 3 = 0, then the value of is :

A. $$30^0$$
B. $$90^0$$
C. $$45^0$$
D. $$60^0$$
Answer» B. $$90^0$$
48.

If 2sin2 3 sin + 1 = 0, being positive angle, then the values of are :

A. $$ 30^0, 90^0$$
B. $$ 60^0, 55^0$$
C. $$ 60^0, 45^0$$
D. $$ 45^0, 55^0$$
Answer» B. $$ 60^0, 55^0$$
49.

The value of sec4 A (1 sin4A) 2tan2A is:

A. $$ {1 over 2} $$
B. 0
C. 2
D. 1
Answer» E.
50.

The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is:

A. $$ {1 over2}$$
B. 0
C. 2
D. 1
Answer» E.