Trigonometry Questions and Answers for Competitive Exams

Vikram Singh2 years ago 11.5K Views Join Examsbookapp store google play
Trigonometry Questions and Answers for Competitive Exams
Q :  

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

Q :  

If sin3θ=cos(20° - θ) then find out  the value of θ.

(A) 40°

(B) 35°

(C) 60°

(D) 30°


Correct Answer : B

Q :  

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

Q :  

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

Q :  

$$ {3sin60°-4sin^{3}60°=?}$$

(A) $$ {2\sqrt{3}}$$

(B) $$ {4\sqrt{3}}$$

(C) 0

(D) 50


Correct Answer : C

Q :  

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

Q :  

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

Q :  

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

Q :  

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

Q :  

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

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    Vikram Singh

    Providing knowledgable questions of Reasoning and Aptitude for the competitive exams.

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