Trigonometry Questions and Answers for Competitive Exams
If a(tanθ+cotθ)=1, sinθ+cosθ=b and 0°<θ<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) $$ {b^2=2({a+1}})$$
Correct Answer : C
$$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to-
(A) 0
(B) $$ \sqrt{3}$$
(C) $$ 1\over \sqrt{3}$$
(D) None of these
Correct Answer : B
What is the simplification value of $${cotA+tanB}\over{cotB+tanA}$$?
(A) tanAcotB
(B) tanBcotA
(C) tanAtanB
(D) cotAcotB
Correct Answer : B
$$ {tan^2θ}$$ is equal to:-
(A) $$ {1\over cot^2{θ}}$$
(B) $$ {1\over sin^2{θ}}$$
(C) $$ {1\over cosec^2{θ}}$$
(D) $$ {1\over sec^2{θ}}$$
Correct Answer : A
What is the value of $$ {cosecθ\sqrt{1-cos^2θ}}$$.
(A) 0
(B) – 2
(C) – Sinθ
(D) 1
Correct Answer : D
If 4tanθ=3,the value of $$ \left({4sinθ-2cosθ\over4sinθ+2cosθ}\right) $$ is:-
(A) $$ {2\over5}$$
(B) $$ {1\over5}$$
(C) $$ {4\over5}$$
(D) None of these
Correct Answer : B
(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)
Correct Answer : B
Find the value tanθ-cosθ in the given figure.
(A) $${4\over5}$$
(B) $$-{4\over9}$$
(C) $$-{1\over20}$$
(D) $${3\over20}$$
Correct Answer : C
If cos3A = X, then value of X?
(A) 4cos3A + 3cosA
(B) 3cosA – 4cos3A
(C) cosA + 4cos3A
(D) 4cos3A – 3cosA
Correct Answer : D
If $$ {2sinθ-cosθ\over cosθ+sinθ}=1 $$ then the value of Cotθ is
(A) $$ {1\over4}$$
(B) $$ {1\over2}$$
(C) $$ {1\over3}$$
(D) $$ {2\over3}$$
Correct Answer : B