Trigonometry Questions and Answers for Competitive Exams
Find the value of $$ {\sqrt{(cos^{2}20°+cos^{2}70°)}}$$
(A) 0
(B) $$ {2\over{\sqrt{3}}}$$
(C) 1
(D) $$ {\sqrt{3}\over2}$$
Correct Answer : C
If sin3θ=cos(20° - θ) then find out the value of θ.
(A) 40°
(B) 35°
(C) 60°
(D) 30°
Correct Answer : B
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) $$ {5\over 9}$$
Correct Answer : B
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) $$ {1-x^{2}}$$
Correct Answer : C
$$ {3sin60°-4sin^{3}60°=?}$$
(A) $$ {2\sqrt{3}}$$
(B) $$ {4\sqrt{3}}$$
(C) 0
(D) 50
Correct Answer : C
If x+ y=90°, then what is the value of $$ {\sqrt{cosx.cosecy-cosx.siny}}$$?
(A) cosx
(B) sinx
(C) $$ {\sqrt{sinx}}$$
(D) $$ {\sqrt{cosx}}$$
Correct Answer : B
Which of the following simplification value of $$ {(secA-cosA)^{2}}+{(cosecA-sinA)^{2}}-{(cotA-tanA)^{2}}$$ ?
(A) 4
(B) 2
(C) 1
(D) 3
Correct Answer : C
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) $$ {m^{2}-1\over {n^{2}+1}}$$
Correct Answer : C
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
Correct Answer : B
If $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ 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) $$ {p^{2}q^{2}}\over{p^{2}+q^{2}}$$
Correct Answer : B