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Trigonometry Part 11: Advance maths important questions

Trigonometry Part 11: Advance maths important questions

Q401. If sin θ – cos θ = Trigonometry Part 11: Advance math series 2000 most important questions. then value of sin θ + cos θ is:

(a) -2

(b) ±2

(c)  √7/2

(d) 2

Q402. The value of Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.   is (0°< A < 90°)

(a) 2 cosec A

(b) 2 sec A

(c) 2 sin A

(d) 2 cos A

Q403. If r sin θ = 1, r cos θ = √3 , then the value of Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. is

(a) √3

(b)  1/√3

(c) 1

(d) 2

Q404. If cos θ- y sin θ = Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. and Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.  , then the correct relation is:

(a) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(b) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(c) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q405.  If tan θ – cot θ = 0, find the value of sin θ + cos θ.

(a) 0

(b) 1

(c) √2

(d) 2

Trigonometry Practice Paper
Q406. The greatest value of sin4 θ+cosθ  is :

(a) 2

(c) 3

(c)  1/2

(d) 1

Q407.  If 3 sin θ +5 cos θ = 5, then 5 sin θ – 3cos θ is equal to

(a) ±3

(b) ±5

(c)  1

(d) ±2

Q408. If sin θ + sin2  θ= 1, then the value of cos2 θ cos4 θ  is

 (a) 2

(b) 4

(c) 0

(d) 1

Q409. If tan θ + cot θ = 2 then the value θ of  is

(a) 45°

(b) 60°

(c) 90°

(d) 30°

Q410.  If cosπ x = x2 –  x + Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. then  value of x will be

(a) 0

(b) 1

(c) -1

(d) None of the above

Q411. The numerical value of 1 + Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. – sec2 27°  + Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. – cosec2 27°  is :

(a) 1

(b) 2

(c) -1

(d) 0

Q412. If x = Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. , then Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. is equal to

(a) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(b) 

(c) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q413. In Δ ABC, ΔB = 90°  and AB: BC = 2 : 1. The value of sin A + cot C is

(a) 3+√5

(b) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(c) 2+√5

(d) 3√5

Q414. If sin Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. x2 – 2x + 2, then the value of x is

(a) 0

(b) 1

(c) -1

(d) None of these

Q415. The value of Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. – 8 cos2 60  is

(a) 0

(b) 1

(c) 2

(d) -1

Q416. The value of  Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(a) 1

(b) 2

(c) 0

(d) 4

Q417.  Find the value of 1 – 2 sin2 θ +sin4 θ.

(a) sin4  θ

(b) cos4 θ

(c) cosec4 θ                                     

(d) secθ

Q418. The simplest value of cot 9°  cot 27°  cot 63°  cot 81°  is

(a) 0

(b) 1

(c) -1

(d) √3

Q419. If (1+sin A)(1+sinB)(1+sinC)=(1-sinA)(1-sinB)(1-sinC), 0 < A, B, c < Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. then each side is equal to :

(a) sin A sin B sin C

(b) cos A cos B cos C

(c) tan A tan B tan C

(d) 1

Q420. The value of θ, which satisfies the equation tanθ  + 3 = 3 sec θ, 0°<θ< 90° , is :

(a) 15°  or 0°

(b) 30°  or 0°

(c) 45°  or 0°

(d) 60°  or 0°

 

Q421. If sin  = 0.7, then cos θ, 0≤ θ< 90°  , is

(a)  0.3

(b) √0.49

(c) √0.51

(d) √0.9

Q422. The value of sin265°  + sin225°  + cos2 35°  + cos2 55°  is

(a) 0

(b) 1

(c) 2

(d) 1/2

Q423.  If x sin 60° , tan 30°  = sec60° , cot 45°  value of x is

(a) 2

(b) 2√3

(c) 4

(d) 4√3

Q424. If θ = 60° then Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.  is equal to

(a) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(b) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(c) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q425. If  Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.+sec2 45°  – sec245 ° – sec20°  = x sec 60° , then the value of x is

(a) 2

(b) 1

(c) 0

(d) -1

Q426. If tan θ = Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.  , then sin α + cos α is

(a) ±√2 sin θ

(b) ±√2 cos θ

(c) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q427.  If 7 sin2 ± Trigonometry Part 11: Advance math series 2000 most important questions.sin θ + 3 cos2 ± Trigonometry Part 11: Advance math series 2000 most important questions. = 4, (0° <θ < ,90° ), then the value of tan θ is

(a) 1√3

(b) 1/2

(c)  1

(d) √3

Q428.  If tan 9° = Trigonometry Part 11 (Solution): Advance math series 2000 most important questions., then the value of Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. is

(a) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(b) 1

(c) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q429. If sec θ + tan θ = 5, then the value of  Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. is :

(a) 11/7

(b) 13/7

(c) 15/7

(d) 17/7

Q430. If tanθ = 1 – e2, then the value of sec θ + tan3 θ cosec θ  is

(a) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(b) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(c) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q431.  Which one of the following is true for 0° < 90° ?

(a) cos θ ≤ cosθ

(b) cos θ > cos2 θ

(c)  cos θ< cos2 θ

(d) cosθ ≥ cos2θ

Q432. If x sin 60°  tan 30° –  tan2 45° =  cosec 60°  cot 30° – sec2 45° then x =

(a) 2

(b) -2

(c) 6

(d) -4

Q433. If x = a sec α cos β + b sec α sin β, z = c tan α then the value of  Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.is :

(a)  2

(c)  0

(c)  1

(d) -1

Q434. If Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.= a and Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. = b , then the value of sin² β in terms of  a and b is :

(a) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(b)  Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(c)  Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q435. The value of Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. is :

(a) 64/√3

(b) 55/12

(c) 15/17

(d) 67/10

Trigonometry Practice Paper
Q436. The value of sin230° cos245° + 5 tan230°  + Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. sin290°  – 3 cos2 90  is

(a) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(b) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(c) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(d) Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

Q437. If cosθ  – sinθ = Trigonometry Part 11 (Solution): Advance math series 2000 most important questions., where 0≤θ≤ Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. , then the value of cos4 θ is

(a) 1/3

(b) 2/3

(c) 1/9

(d) 2/9

Q438. If tan θ = Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. and 0 <θ < Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.  then the value of  is :

(a) 1/3

(b) 4/5

(c)  5/6

(d) 6/7

Q439. The value of Trigonometry Part 11 (Solution): Advance math series 2000 most important questions.

(a) 0

(b) 1

(c) 2

(d)  3/2

Q440.  If sin θ = Trigonometry Part 11 (Solution): Advance math series 2000 most important questions. , then the value of  350-1 is equal to :

(a)  20/60

(b)  31/30

(c)   34/60

(d)  37/60

 

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