Math Aptitude Questions and Answers
What is the value of $$ {2tan53°\over cot37°} -{cot80°\over tan10°}$$ is:
(A) 3
(B) 2
(C) 1
(D) 0
Correct Answer : C
The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is:
(A) $$ {1\over2}$$
(B) 0
(C) 2
(D) 1
Correct Answer : D
Explanation :
Put A=45 degree and we can get answer.
If 2sin2 θ – 3 sin θ + 1 = 0, θ being positive angle, then the values of θ are :
(A) $$ 30^0, 90^0$$
(B) $$ 60^0, 55^0$$
(C) $$ 60^0, 45^0$$
(D) $$ 45^0, 55^0$$
Correct Answer : A
If 4sin2 θ – 1 = 0 and angle θ is less than 900. The value of cos2 θ + tan2 θ is:
(Take 00 < θ < 900)
(A) $$ 13\over 12$$
(B) $$ 12\over 11$$
(C) $$ 11\over 9$$
(D) $$ 17\over 15$$
Correct Answer : A
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) $$ {1\over 2} $$
Correct Answer : B
If tan α = 2, then the value of $$ {cosec^2 α - sec^2 α}\over{cosec^2 α + sec^2 α} $$ is :
(A) $$ -{15\over 9} $$
(B) $$ {3\over 5} $$
(C) $$ -{3\over 5} $$
(D) $$ {17\over 5} $$
Correct Answer : C