# Trigonometry Questions For SSC CGL 2023 Part 1: Solve Important Questions Here

SSC CGL Trigonometry Questions – SSC CGL Quantitative Aptitude Section is one of the toughest sections and to score well in this section you need thorough practice. Practicing different questions from different topics will help you score well in the examination. Trigonometry Questions For SSC CGL 2023 is one of the most important topics for the upcoming SSC CGL examination. To help you with the same we have brought you a blog covering all the 20 most important SSC CGL Quantitative Aptitude Trigonometry questions. Attempt and check the level of preparation.

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## Trigonometry Questions For SSC CGL 2023: Solve Questions Here

Q1) Evaluate : ( CotΘ – CosecΘ + CotΘ + CosecΘ

A. 1
B. 0
C. -1
D. 2

Q2)  If 7 sin2 Θ + 3 cosΘ = 4 and 0 ≤ Θ ≤ π/2, then the value of tan Θ is  :

A. √3/7
B. √2/7
C. 1/√3
D. 1/√7

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Q3) If x = a cos3 Θ, y = b sin3 Θ, then
(x/a)2/3 + (y/b)2/3 = ?

A. 1
B. 0
C. 2
D. 4

Q4) The value of cot 2π/20 x cot 4π/20 x cot 5π/20 x cot 6π/20 x cot 8π/20 is

A. 2
B. 0
C. 1
D. 3
Q5) (2 sin2 67° + 1 + 2 sin2 23°) / (5 cos2 13° – 2 + 5 cos2 77°) = ?
A. 3/2
B. 3
C. 2/3
D.  1
Q6) Evaluate: ( sin π/6 + cos π/3 –  tan3  π/4 +  cosec2  π/2 ).
A. 1
B. 0
C. 3
D. 5
Q7) The least value of 9 cosecA + 16 sinA is
A. 7
B. 24
C. 25
D. 14
Q8) In a ΔABC, ∠B =  π/3 , ∠C =  π/4  and D divides BC internally in the ratio 1 : 3 then (sin ∠BAD) / (sin ∠CAD) is equal to
A.1/√2
B. 1/√6
C. 1/√3
D. 1/√4
Q9) If sin 3A = cos (A – 26°), where 3A is an acute angle then the value of A is
A. 29º
B. 26º
C. 23º
D. 28º
Q10) The value of  (sin 39°) / (cos 51°)  +  2 tan11° tan31° tan45° tan59° tan79°  –  3 (sin2 21° + sin2 69°) is
A. 2
B. -1
C. 1
D. 0
Q11) If  cos2 Θ  /  (cot2 Θ – cos2 Θ)   = 3 and 0° < Θ < 90°, then the value of Θ is :
A. 30º
B. 45º
C. 60º
D. None of these
Q12) If A = tan 11° tan 29°, B = 2 cot 61° cot 79°, then :
A. A = 2B
B. A = – 2B
C. 2A = B
D. 2A = -B
Q13) The angles of a triangle are (x + 5)°, (2x – 3)° and (3x + 4)°. The value of x is
A. 30
B. 31
C. 29
D.  28
Q14) If Θ be an acute angle and 7 sin2 Θ + 3 cos2 Θ = 4, then the value of tan Θ is
A. √3
B. 1/√3
C. 1
D. 0
Q15) The value of sin2 1° + sin2 5° + sin2 9° + ….. + sin2 89° is
A. 11 ½
B. 11√2
C. 11
D. None of these
Q16) If tan 15° = 2 – √3, the value of tan 15° cot 75° + tan 75° cot 15° is
A. 14
B. 12
C. 10
D.  8
Q17) If x, y are acute angles, 0 < x + y < 90° and sin (2x – 20°) = cos (2y + 20°), then the value of tan (x + y) is :
A. √3
B. 1/√3
C. √3/2
D. 1
Q18) If ∠A and ∠B are complementary to each other, then the value of sec2 A + sec2 B – sec2 A . sec2 B is
A. 1
B. 0
C. -1
D. 2
Q19) The minimum value of 2 sin2 Θ + 3 cos2 Θ is
A. 0
B. 2
C. 3
D. 1

Q20) If cos x + cos y = 2, the value of sin x + sin y is

A. 0
B. 1
C. 2
D. -1