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SSC CGL Trigonometry : Advance maths important questions

SSC CGL Trigonometry : Advance maths important questions

Q321. If sin (A – B)= Trigonometry Part 9: Advance math series 2000 most important questions. and soc (A + B) = Trigonometry Part 9: Advance math series 2000 most important questions. where A > B > 0 and A + B is an acute angle, then the value B is :

(a) π/6

(b) π/12

(c) π/4

(d) π/2

Q322. Maximum value of (2 sin  + 3 cos ) is

(a) 2

(b) √13

(c) √15

(d) 1

Q323. The value of 152(sin 30°+ 2 cos2 45°+ 3 sin 30°+ 4 cos2 45°+…+ 17 sin 30°+ 18 cos2 45°  is :

(a) an integer but not a perfect square

(b) a rational number but not an integer

(c) a perfect square of an integer

(d) irrational

Q324. Evaluate : 3 cos 80° cosec 10°+ 2 cos 59° cosec 31°

(a)  1

(b)  3

(c)  2

(d)  5

Q325.  sin2 θ – 3 sinθ+ 2 = 0 will be true if :

(a) 0 ≤θ< 90

(b) 0 <θ < 90

(c) θ = 0°

(d) θ= 90

SSC CGL Trigonometry
Q326. If tan α = n tan β and sin α = m sin β , then cosα  is :

(a) Trigonometry Part 9: Advance math series 2000 most important questions.

(b) Trigonometry Part 9: Advance math series 2000 most important questions.

(c) Trigonometry Part 9: Advance math series 2000 most important questions.

(d) Trigonometry Part 9: Advance math series 2000 most important questions.

Q327.  If tan θ = Trigonometry Part 8 (Solution): Advance math series 2000 most important questions.  and  is acute, then cosec θ

(a) 4/5

(b) 5/3

(c) 2

(d) 1/2

Q328. If cosec θ – cot θ = Trigonometry Part 9: Advance math series 2000 most important questions. , the value of cosec θ is :

(a) 47/28

(b) 51/28

(c) 53/28

(d) 49/28

Q329. If x sin 45°= y cosec 30°, then Trigonometry Part 9: Advance math series 2000 most important questions.  is equal to

(a) 4³

(b) 6³

(c)  2³

(d) 8³

 Q330. If 5 tan  = 4, then Trigonometry Part 9: Advance math series 2000 most important questions.  is equal to 

(a) 2/3

(b) 1/4

(c) 1/6

(d) 1/3

Q331. 2 cosec2 23°  cot2 61° – sin2 23° – sin2 67°  – cot2 67°  is equal to

(a) 1

(b) sec2 23°

(c) tan223°

(d) 0

Q332.  The equation cos2 θ = Trigonometry Part 9: Advance math series 2000 most important questions.  is only possible when 

(a) x = – y

(b) x > Y

(c) X = Y

(d) X < y

Q333. The value of cosec2 18  – Trigonometry Part 9: Advance math series 2000 most important questions. is

(a) 1√3

(b) √2/3

(c) 1/2

(d) 1

Q334.  If α + β = 90° , then the value of (1-sinα )(1-cos2 α)(1-cos2α ) ×(1-cot2β )(1+tan2β ) is:

(a) 1

(b) -1

(c) 0

(d) 2

Q335. Trigonometry Part 9: Advance math series 2000 most important questions. –  is equal to

(a) -1

(b) 0

(c) 1

(d) 2

Q336. The value of tan 10° 15° tan 75° tan 80°

(a)  0

(b)  1

(c) -1

(d)  2

Q337. The minimum value of 4 tan2 θ + 9 cotθ  is equal to

(a) 0

(b) 5

(c) 12

(d) 13

Q338. If sin 7x = cos 11x, then the value of tan 9x + cot 9x is

(a) 1

(b) 2

(c) 3

(d) 4

Q339. If tanα  = 1 + 2 tan2β  (α ,β  are positive acute angles), then √2cos α – cos β  is equal to

(a) 0

(b) √2

(c) 1

(d) -1

Q340. The product cos1° cos2° cos3° cos4° …cos100°  is equal to

(a) -1

(b) 1/4

(c) 1

(d) 0

 

Q341. If 2(cos2θ  – sin2 θ) = 1 ( θ is a positive acute angle), then cot θ is equal to

(a) -√ 3

(b)  1/√3

(c)  1

(d) √3

Q342.  If tan (2 θ  + 45° ) = cot 3 θ where (2 θ+ 45° ) and 3 θ are acute angles, then the value of θ is:

(a) 5°

(b) 9°

(c) 12°

(d) 15 °

Q343. If θ be acute angle and cos θ = Trigonometry Part 9: Advance math series 2000 most important questions. , then the value of cot (90° – θ ) is:

(a) 2√8/15

(b) 8/15

(c) √2/17

(d) 8√2/17

Q344. If secθ  + tan2 θ= Trigonometry Part 8: Advance math series 2000 most important questions.  , then secθ  – tan4 θ =

(a) 7/12

(b) 1/2

(c) 5/12

(d) 1

Q345. If 0 < x <π/2  and sec x = cosec y, then the value of sin (x +y) is:

(a) 0

(b) 1

(c)  1/2

(d) 1/√3

Q346. If A,  B and C be the angles of a triangle, then put of the following. The incorrect relations is :

(a) Trigonometry Part 9: Advance math series 2000 most important questions.

(b) Trigonometry Part 9: Advance math series 2000 most important questions.

(c) Trigonometry Part 9: Advance math series 2000 most important questions.

(d) Trigonometry Part 9: Advance math series 2000 most important questions.

Q347.  If sin α  + cos β  = 2(0°≤β<α≤ 90°) then sin Trigonometry Part 9: Advance math series 2000 most important questions.   =

(a) Trigonometry Part 9: Advance math series 2000 most important questions.

(b)

(c) Trigonometry Part 9: Advance math series 2000 most important questions.

(d) Trigonometry Part 9: Advance math series 2000 most important questions.

Q348.  If cos4θ – sin4θ =   Trigonometry Part 9: Advance math series 2000 most important questions. then the value of 2 cos2θ – 1 is

(a) 0

(b) 1

(c)  2/3

(d) 3/2

Q349. if sin α sec (30°+ α ) = 1 (0 <α < 60° ), then the value of sin α + cos 2 α is :

(a) 1

(b) Trigonometry Part 9: Advance math series 2000 most important questions.

(c) 0

(d) √2

Q350. If tan θ= 1, then the value of  Trigonometry Part 9: Advance math series 2000 most important questions. is

(a) 2

(b) 5/2

(c) 3

(d) 4/5

Q351. If θ  be a positive acute angle satisfying cos2 θ + cos4 θ = 1, then the value of tan2 θ+ tan4θ  is :

(a)  3/2

(b) 1

(c)  1/2

(d)  0

Q352.  If tan θ = Trigonometry Part 9: Advance math series 2000 most important questions. , then the value of Trigonometry Part 9: Advance math series 2000 most important questions.  is

(a)  0.5

(b) -0.5

(c) 3.0

(d) -3.0

Q353. The simplified value of (sec A – cosA )2+(cosec A – sin A)2  is :

(a) 0

(b) 1/2

(c) 1

(d) 2

Q354. If  θ be acute and tan θ+ cot θ=2, then value of tanθ +cot10 θ is

(a) 1

(b) 2

(c) 3

(d) 4

Q355.  If sin θ – cos θ = Trigonometry Part 9: Advance math series 2000 most important questions.  and 0 < 90° , then the value of sin θ + cos θ 

(a) 17/13

(b) 13/17

(c)  1/13

(d) 1/17

Q356.  If 2cos θ  – sin θ = Trigonometry Part 8: Advance math series 2000 most important questions. , (0°<θ< 90° ) the value of 2 sin θ + sin θ is

(a) 1/√2

(b)  √2

(c)  3/√2

(d) √2/3

Q357. If  Trigonometry Part 9: Advance math series 2000 most important questions. = 3, then the value of sinθ  – cosθ  is

(a) 1/5

(b) 2/5

(c) 3/5

(d) 4/5

Q358. If secθ  + tan2 θ = 7, then the value of  θ when 0°≤θ≤90° , is

(a) 60°

(b) 30°

(c) 0°

(d) 90°

Q359. The simplified value of (sec x sec y + tan x tan  y)2 is :

(a) -1

(b) 0

(c) sec2x

(d) 1

SSC CGL Trigonometry
Q360. If sin θ + cosec θ=2, then value of sin100 θ is equal to :

(a) 1

(b) 2

(c) 3

(d) 100

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