

MCQOPTIONS
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: |
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. $$ {{Tan38 } over {Tan 79 Tan28 }}$$ | |