Trigonometry Important Questions for Competitive Exams
If $$ sin θ ={20 \over 29}$$, then what is the value of sec θ sin θ?
(A) $$ {20 \over 21}$$
(B) $$ {29 \over 20}$$
(C) $$ {21 \over 20}$$
(D) $$ {21 \over 29}$$
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
The value of $${cosec^2} 18° -{1\over cot^272°}$$.
(A) $${1 \over \sqrt { 3}}$$
(B) $$ \sqrt2\over {3 } $$
(C) $${1\over2} $$
(D) 1
Correct Answer : D
(A) cosec A
(B) cos A
(C) secA
(D) sinA
Correct Answer : C
If $$ sin(θ+30^0)= {3\over \sqrt { 12} } $$ then find cos2θ :
(A) $$ {1\over 4} $$
(B) $$ {3\over 4} $$
(C) $${\sqrt { 3} \ }\over 2 $$
(D) $$ {1\over 2} $$
Correct Answer : B
If 5cosθ – 12sinθ=0 then value of
(A) $$\left(1{75\over119}\right)\ $$
(B) $$\left(2{34\over35}\right)\ $$
(C) $$\left(3{2\over3}\right)\ $$
(D) $$\left(3{1\over7}\right)\ $$
Correct Answer : D
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