Trigonometry Questions and Answers for Competitive Exams
If x tan45° cos30° = sin30° cos45°, then x is equal to -
(A) $${1\over\sqrt { 3} \ } $$
(B) $${1\over\sqrt { 6} \ } $$
(C) $${1\over\sqrt { 2} \ } $$
(D) $${2\over\sqrt { 3} \ } $$
Correct Answer : B
$$ sin^2 5° + sin^2 10°+sin^2 15°+.....sin^2 85°+sin^2 90°$$ is equal to
(A) $$ {17\over2}$$
(B) $$ {19\over2}$$
(C) $$ {21\over2}$$
(D) $$ {18\over2}$$
Correct Answer : B
Fill in the blanks:
Sin A = ____ × (Cos A)
(A) Sin A
(B) Tan A
(C) Cot A
(D) Cosec A
Correct Answer : B
If sinθ + cosecθ = 2, then the value of $$ sin^9 θ +cosec^9θ $$ is –
(A) 4
(B) 0
(C) 1
(D) 2
Correct Answer : D
If tan $$ -{7π\over4}=x $$ then the value of x is :
(A) $$-{1\over2}$$
(B) $$-{√3\over2}$$
(C) $${√3\over2}$$
(D) 1
Correct Answer : D
$$ {Cos^4θ +Sin^4θ}={2 \over3} $$ then the value of $$ {Cos^2θ -Sin^2θ+1}$$?
(A) $$ {13 \over15} $$
(B) $$ {14\over15} $$
(C) $$ {15 \over14} $$
(D) $$ {15 \over13} $$
Correct Answer : D
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
If 0 ≤ θ ≤ 900 and 4cos2θ - $$4{\sqrt { 3} \ }cosθ$$ + 3 = 0, then the value of θ is :
(A) $$30^0$$
(B) $$90^0$$
(C) $$45^0$$
(D) $$60^0$$
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 $$ {secθ+tanθ\over secθ - tanθ} $$= $$ 2{51\over 79} $$ sinθ then the value of sin θ is :
(A) $$ {91\over144}$$
(B) $$ {39\over72}$$
(C) $$ {65\over144}$$
(D) $$ {35\over72}$$
Correct Answer : C
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Vikram Singh
Providing knowledgable questions of Reasoning and Aptitude for the competitive exams.
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