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.

51.

If $$ sec -tan ={1 over sqrt{3}}$$, the value of sec .tan =?

A. $$ {4 over sqrt{3}}$$
B. $$ {2 over sqrt{3}}$$
C. $$ {2 over3}$$
D. $$ {1 over sqrt{3}}$$
Answer» D. $$ {1 over sqrt{3}}$$
52.

$$ sqrt{ {1-sinA over1+sinA}}$$ is equal to ?

A. sec A + tan A
B. sec A + cosec A
C. sec A cosec A
D. sec A tan A
Answer» E.
53.

Find out value of Cosec $$ left(-{5 over3} right)$$?

A. $${2 over sqrt{3}}$$
B. $${ sqrt{3} over 2}$$
C. $${-2 over sqrt{3}}$$
D. $${-1 over sqrt{3}}$$
Answer» B. $${ sqrt{3} over 2}$$
54.

$$ {tan^2 }$$ is equal to:-

A. $$ {1 over cot^2{ }}$$
B. $$ {1 over sin^2{ }}$$
C. $$ {1 over cosec^2{ }}$$
D. $$ {1 over sec^2{ }}$$
Answer» B. $$ {1 over sin^2{ }}$$
55.

$$ {tan7 tan23 tan60 tan67 tan83 }$$ is equal to-

A. 0
B. $$ sqrt{3}$$
C. $$ 1 over sqrt{3}$$
D. None of these
Answer» C. $$ 1 over sqrt{3}$$
56.

If 4tan =3,the value of $$ left({4sin -2cos over4sin +2cos } right) $$ is:-

A. $$ {2 over5}$$
B. $$ {1 over5}$$
C. $$ {4 over5}$$
D. None of these
Answer» C. $$ {4 over5}$$
57.

What is the value of $$ {cosec sqrt{1-cos^2 }}$$.

A. 0
B. 2
C. Sin
D. 1
Answer» E.
58.

If $$ {1+sin over {1-sin }}={p^{2} over{q^{2}}}$$, then sec is equal to:

A. $$ {2p^{2}{q^{2}} over {p^{2}+{q^{2}}}}$$
B. $${1 over 2} left({q over p}+{p over q} right)$$
C. $$ {1 over {p^{2}}}+{1 over {q^{2}}}$$
D. $$ {p^{2}q^{2}} over{p^{2}+q^{2}}$$
Answer» C. $$ {1 over {p^{2}}}+{1 over {q^{2}}}$$
59.

Find the minimum value of $$ {25 cosec^{2} +25sin^{2} }$$

A. 25
B. 50
C. 55
D. 20
Answer» C. 55
60.

What is the value of $${cos^2A over {1+sinA}}$$?

A. 1+sinA
B. 1-sinA
C. 1+secA
D. 1-secA
Answer» C. 1+secA
61.

If tan $$ -{7 over4}=x $$ then the value of x is :

A. $$-{1 over2}$$
B. $$-{ 3 over2}$$
C. $${ 3 over2}$$
D. 1
Answer» E.
62.

If $$ {cosAcotA over( 1 - sinA ) }=x $$ then the value of x is :

A. 1 - cosecA
B. 1 + cosecA
C. 1 + secA
D. 1 - secA
Answer» C. 1 + secA
63.

$$ sin^2 5 + sin^2 10 +sin^2 15 +.....sin^2 85 +sin^2 90 $$ is equal to

A. $$ {17 over2}$$
B. $$ {19 over2}$$
C. $$ {21 over2}$$
D. $$ {18 over2}$$
Answer» C. $$ {21 over2}$$
64.

If sin + cosec = 2, then the value of $$ sin^9 +cosec^9 $$ is

A. 4
B. 0
C. 1
D. 2
Answer» E.
65.

The value of $$ cos {20^o} cos {40^o}cos {60^o}cos {80^o}$$ is:

A. $$ {1 over 15}$$
B. $$ {1 over 16}$$
C. $$ {1 over 12}$$
D. None of these
Answer» C. $$ {1 over 12}$$
66.

If tan =1/5 then the value of Cosec2 =?

A. 5
B. $$ sqrt{5}$$
C. $$ sqrt{6}$$
D. 6
Answer» E.
67.

In ABC is an acute angle and tan is equal to three times of cot . Find the value of $$ {sin^{2} +cosec^{2} -{1 over 2}cot^{2} }$$.

A. $$ {23 over 12}$$
B. $$ {23 over 9}$$
C. $$ {23 over 11}$$
D. $$ {23 over 8}$$
Answer» B. $$ {23 over 9}$$
68.

If $$ {cot A={n over{n+1}}}$$ and $$ {cot B={1 over{2n+1}}}$$ then what is the value of cot (A + B)?

A. 1
B. 0
C. -1
D. 2
Answer» D. 2
69.

If tan (11 )=cot (7 ), then what is the value of sin2(6 ) + Sec2 (9 ) + cosec2(12 )?

A. $$ {23 over 6}$$
B. $$ {35 over 12}$$
C. $$ {31 over 12}$$
D. $$ {43 over 12}$$
Answer» E.
70.

If $$ {tan3A=cot{(2A+40)}}$$ then find the value of $$ {tan^2{3A}}+{cot^{4}3A}$$.

A. $$ {27 over 3}$$
B. $$ {28 over 3}$$
C. $$ {2 over 3}$$
D. 0
Answer» C. $$ {2 over 3}$$
71.

If 2sin2 5sin cos +7cos2 =1then possible values of tan are

A. 2, 5
B. 1, 3
C. 2, $$ {5 over2}$$
D. 2, 3
Answer» E.
72.

Which of the following simplification value of $$ {(secA-cosA)^{2}}+{(cosecA-sinA)^{2}}-{(cotA-tanA)^{2}}$$ ?

A. 4
B. 2
C. 1
D. 3
Answer» D. 3
73.

If a(tan +cot )=1, sin +cos =b and 0 < <90 , then the relation between a and b.

A. $$ {2a={b^2}}+1$$
B. $$ {b^2=2({a-1}})$$
C. $$ {2a={b^2-1}}$$
D. $$ {b^2=2({a+1}})$$
Answer» D. $$ {b^2=2({a+1}})$$
74.

What is the simplification value of $${cotA+tanB} over{cotB+tanA}$$?

A. tanAcotB
B. tanBcotA
C. tanAtanB
D. cotAcotB
Answer» C. tanAtanB
75.

If sec -5 /4 = x, then the value of x is

A. -1/ 3
B. - 2
C. -1
D. 3
Answer» C. -1
76.

If $$ {sec +tan over sec - tan } $$= $$ 2{51 over 79} $$ sin then the value of sin is :

A. $$ {91 over144}$$
B. $$ {39 over72}$$
C. $$ {65 over144}$$
D. $$ {35 over72}$$
Answer» D. $$ {35 over72}$$
77.

If x tan45 cos30 = sin30 cos45 , then x is equal to -

A. $${1 over sqrt { 3} } $$
B. $${1 over sqrt { 6} } $$
C. $${1 over sqrt { 2} } $$
D. $${2 over sqrt { 3} } $$
Answer» C. $${1 over sqrt { 2} } $$
78.

If $$ sec +tan =2+ sqrt{5}$$, then the value of $$ sin +cos $$ is:

A. $$ 3 over{ sqrt{5}}$$
B. $$ { sqrt{5}}$$
C. $$ 7 over{ sqrt{5}}$$
D. $$ 1 over{ sqrt{5}}$$
Answer» B. $$ { sqrt{5}}$$
79.

If $$ {2sin -cos over cos +sin }=1 $$ then the value of Cot is

A. $$ {1 over4}$$
B. $$ {1 over2}$$
C. $$ {1 over3}$$
D. $$ {2 over3}$$
Answer» C. $$ {1 over3}$$
80.

$$ sqrt {sec^2{ }+cosec^2{ }}=?$$

A. $$ {tan^2{ }}+cot^2{ }$$
B. $$ tan +cot $$
C. $$ sin +cos $$
D. None of these
Answer» C. $$ sin +cos $$
81.

If 3 + cos2 = 3(cot2 + Sin2 ), 0 < <90 , then what is the value of (cos +2sin )?

A. $$ {2 sqrt{3}+1 over {2}}$$
B. $$ {3 sqrt{2}}$$
C. $$ {3 sqrt{3}+1 over {2}}$$
D. $$ { sqrt{3}+2 over 2}$$
Answer» B. $$ {3 sqrt{2}}$$
82.

If tan4 + tan2 = 1, then the value of cos4 + cos2 is

A. 2
B. 1
C. 1
D. 2
Answer» C. 1
83.

The minimum value of 16 tan2 + 25cot2 is

A. 5
B. 4
C. 30
D. 40
Answer» E.
84.

What is the value of sin2 60 + cos230 + cot2 45 + sec2 60 cosec2 30 + cos2 0 .

A. $$ {7 over2}$$
B. $$ {7 over4}$$
C. $$ {7 over3}$$
D. $$ {7 over8}$$
Answer» B. $$ {7 over4}$$
85.

If tanx = cot(50+3x), then what is the value of x ?

A. 11
B. 14
C. 10
D. 12
Answer» D. 12
86.

Sin (45 + ) Cos (45 ) is:

A. 2 Sin
B. 1
C. 2 Cos
D. 0
Answer» E.
87.

If $$ {tan ={a over b}}$$ then $$ {a sin +b cos over{a sin -b cos }}$$ is

A. $$ {a over {a^{2}+b^{2}}}$$
B. $$ {b over {a^{2}+b^{2}}}$$
C. $$ {a^{2}-b^{2} over {a^{2}+b^{2}}}$$
D. $$ {a^{2}+b^{2} over {a^{2}-b^{2}}}$$
Answer» E.
88.

If Tan4x Tan2x=1 then the value of Sin4x + Sin2x is__

A. 1
B. $$ {1 over 2}$$
C. 3
D. $$ {1 over 5}$$
Answer» B. $$ {1 over 2}$$
89.

Fill in the blanks:
Sin A = ____ (Cos A)

A. Sin A
B. Tan A
C. Cot A
D. Cosec A
Answer» C. Cot A
90.

If $$ sec ={13 over 12}$$, and is acute, then what is the value of $$ sqrt { cot +tan } $$ is......

A. $$ {4 over 13}$$
B. $$ {12 over 2 sqrt{13}}$$
C. $$ {13 over 2 sqrt{15}}$$
D. $$ {2 over 13}$$
Answer» C. $$ {13 over 2 sqrt{15}}$$
91.

The greatest value of $$ Sin^{4} +Cos^{4} $$ is:

A. 2
B. 3
C. $${1 over2}$$
D. 1
Answer» E.
92.

Solve it $$ {sin over 1+cos }+{1+cos over sin }=?$$

A. $$ {tan } $$
B. $$ {cot }$$
C. $$ {2 over sin }$$
D. $$ {2 over cos }$$
Answer» D. $$ {2 over cos }$$
93.

If cos + sin =m, sec + cosec =n, what is m/n?

A. 1
B. sin cos
C. sec cosec
D. cot tan
Answer» C. sec cosec
94.

If 2sin + 15 cos2 =7, 0 90 , then what is the value of $$ {3-tan over 2+tan }$$?

A. $$ {1 over 4}$$
B. $$ {3 over 4}$$
C. $$ {1 over 2}$$
D. $$ {5 over 8}$$
Answer» D. $$ {5 over 8}$$
95.

If Cos A + Cos2 A = 1, then Sin2 A + Sin4 A=?

A. 0
B. 1
C. $$ {1 over 2}$$
D. -1
Answer» C. $$ {1 over 2}$$
96.

Find the value of $$ left({1 over {sin 60 }} right)^{2} + (cos 30 )^{2} over(tan 45 )^{2}$$.

A. $$ {25 over 9}$$
B. $$ {25 over 12}$$
C. $$ {25 over 4}$$
D. $$ {5 over 9}$$
Answer» C. $$ {25 over 4}$$
97.

Find the value of $$ { sqrt{(cos^{2}20 +cos^{2}70 )}}$$

A. 0
B. $$ {2 over{ sqrt{3}}}$$
C. 1
D. $$ { sqrt{3} over2}$$
Answer» D. $$ { sqrt{3} over2}$$
98.

Find the value of $$ left({sin 35 over cos55 } right)^2+ left({cos55 over sin 35 } right)^2 -2 sin^{3}30 $$

A. $${7 over5}$$
B. $${7 over4}$$
C. 0
D. $${5 over7}$$
Answer» C. 0
99.

Find the value of sin2 10 + sin2 20 + sin2 30 + ....... + sin2 80.

A. 3
B. 4
C. 0
D. 1
Answer» C. 0
100.

Which of the following values suits for A to make the equation $$ {{ATan62 Sec 28 Cot 38 } over {Cosec62 Tan11 }}=1$$ ?

A. $$ {{Tan38 Tan79 } over {Tan 28 }}$$
B. $$ {{Tan28 Tan38 } over {Tan 79 }}$$
C. $$ {{Tan38 } over {Tan 79 Tan28 }}$$
D. $$ {{Tan28 Tan 79 } over { Tan38 }}$$
Answer» C. $$ {{Tan38 } over {Tan 79 Tan28 }}$$