JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 3 - MCQExams.com

The solution of equations cos2 θ + sin θ + 1 = 0 lies in the interval

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  • 2)
    Maths-Trigonometric ldentities and Equations-54246.png

  • Maths-Trigonometric ldentities and Equations-54247.png

  • Maths-Trigonometric ldentities and Equations-54248.png

Maths-Trigonometric ldentities and Equations-54250.png

  • Maths-Trigonometric ldentities and Equations-54251.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54252.png

  • Maths-Trigonometric ldentities and Equations-54253.png

  • Maths-Trigonometric ldentities and Equations-54254.png
The number of values of θ in the interval [-π, π] satisfying the equations cos θ + sin 2θ = 0 is
  • 1
  • 2
  • 3
  • 4
If cos θ - 4 sin θ = 1, then sin θ + 4 cos θ is equal to
  • ±1
  • 0
  • ±2
  • 4
If cos 2χ = (√2 +(cosχ -(1/√2)) , cos χ ≠ 1/2, χ ϵ I

  • Maths-Trigonometric ldentities and Equations-54258.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54259.png

  • Maths-Trigonometric ldentities and Equations-54260.png

  • Maths-Trigonometric ldentities and Equations-54261.png

Maths-Trigonometric ldentities and Equations-54263.png

  • Maths-Trigonometric ldentities and Equations-54264.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54265.png

  • Maths-Trigonometric ldentities and Equations-54266.png

  • Maths-Trigonometric ldentities and Equations-54267.png
If cos x = tan y, cot y = tan z and cot z = tan x , then sin x is equal to

  • Maths-Trigonometric ldentities and Equations-54269.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54270.png

  • Maths-Trigonometric ldentities and Equations-54271.png

  • Maths-Trigonometric ldentities and Equations-54272.png
In a ∆PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then ∠R is equal to
  • 5π/6
  • π/6
  • π/4
  • 3π/4
If cos α + 2cos β + 3cos γ = 0, in α + 2sin β + 3sin γ = 0 and α + β + γ = π then sin 3 α + 8sin 3β + 27 sin 3γ is equal to
  • - 18
  • 0
  • 3
  • 9
In a ∆ABC, if ∠A = π/2, then cos2 B + cos2 C equals
  • - 2
  • - 1
  • 1
  • 0
Which one of the following is possible

  • Maths-Trigonometric ldentities and Equations-54277.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54278.png
  • tanθ = 45

  • Maths-Trigonometric ldentities and Equations-54279.png
If cos 20o - sin 20o = p, then cos 40o is equal to
  • P2 √(2 - p2)
  • P√(2 - p2)
  • P + √(2 - p2)
  • P - √(2 - p2)
If Sn = cosn θ + sinn θ, then the value of 3S4 - 2S6 is given by
  • 4
  • 0
  • 1
  • 7
If cosχ + cos2χ = 1, then the value of sin12χ + 3 sin10χ + 3 sin8 χ +sin6χ - 1 is
  • 2
  • 1
  • - 1
  • 0
sin2 17.5o + sin2 72.5o is equal to
  • cos2 90o
  • tan2 45o
  • cos2 30o
  • sin2 45o
If θ ϵ (0, π/and t1 = (tan θ)tan θ, t2 = (tan θ)cot θ, t3 = (cot θ)tan θ and t4 = (cot θ)tan θ, then
  • t1 > t2 > t3 > t4
  • t4 > t3 > t1 > t2
  • t3 > t1 > t2 > t4
  • t2 > t3 > t1 > t4
If 12 cot2 θ - 31 cosec θ + 32 = 0, the the value of sin θ is
  • 3/5 or 1
  • 2/3 or - (2/3)
  • 4/5 or 3/4
  • ± 1/2
If sin θ + cosec θ = 2, then the value of sin10 θ + cosec10 θ is
  • 2
  • 210
  • 29
  • 10
If sin θ = sin α, then

  • Maths-Trigonometric ldentities and Equations-54288.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54289.png

  • Maths-Trigonometric ldentities and Equations-54290.png

  • Maths-Trigonometric ldentities and Equations-54291.png
tan 81o - tan 63o - tan 27o + tan 9o equals
  • 6
  • 0
  • 2
  • 4
ABCD is trapezium, such that AB and CD are parallel and BC ⊥ CD. If ∠ADB = θ, BC = p and CD = q, then Ab is

  • Maths-Trigonometric ldentities and Equations-54294.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54295.png

  • Maths-Trigonometric ldentities and Equations-54296.png

  • Maths-Trigonometric ldentities and Equations-54297.png
The value of tan 40o + tan 20o + √3 tan 20o tan 40o is
  • √12
  • 1/√3
  • √3
  • √3/2
The value of sin 50o - sin 70o + sin 10o is
  • 1/√2
  • 0
  • 1
  • 1/2
If tan A and tan B are the roots of abχ2 - C2χ + ab = 0, where a, b and c are the sides of a ∆ABC, then the value of sin2 A + sin2 B + sin2 C is
  • 1
  • 3
  • 4
  • 2
  • 5
If A + B = 45o , then (cot A -(cot B -is equal to
  • 3
  • 1/2
  • - 1
  • - 2
  • 2

Maths-Trigonometric ldentities and Equations-54303.png

  • Maths-Trigonometric ldentities and Equations-54304.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54305.png

  • Maths-Trigonometric ldentities and Equations-54306.png

  • Maths-Trigonometric ldentities and Equations-54307.png

Maths-Trigonometric ldentities and Equations-54309.png
  • < 1
  • = - 1
  • < 0
  • None of these
The value of cos2 (A - B) + cos2 B - 2 cos(A - B) cos A cos B is
  • sin A
  • sin2 a
  • cos2 A
  • cos A

Maths-Trigonometric ldentities and Equations-54312.png

  • Maths-Trigonometric ldentities and Equations-54313.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54314.png

  • Maths-Trigonometric ldentities and Equations-54315.png

  • Maths-Trigonometric ldentities and Equations-54316.png
sin 47o + sin 61o - sin 11o - sin 25o is equal to
  • sin 7o
  • cos 7o
  • sin 36o
  • cos 36o
If sin (χ + 3α) = 3 sin(α - χ ), then
  • tan χ = tan α
  • tan χ = tan2 α
  • tan χ = tan3 α
  • tan χ = 3 tan α

Maths-Trigonometric ldentities and Equations-54320.png
  • 1/16
  • - (1/16)
  • 1
  • 0
If A = 35o , B = 15o and C = 40o, then tan A tan B + tan B tan C + tan C tan A is equal to
  • 0
  • 1
  • 2
  • 3
If α + β + γ = 2θ, then cos θ + cos (θ - α) + cos (θ - β) + cos (θ - γ ) is equal to

  • Maths-Trigonometric ldentities and Equations-54323.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54324.png

  • Maths-Trigonometric ldentities and Equations-54325.png

  • Maths-Trigonometric ldentities and Equations-54326.png
If sin A + cos B = a and Sin B + cos A = b, then sin (A + B) is equal to

  • Maths-Trigonometric ldentities and Equations-54328.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54329.png

  • Maths-Trigonometric ldentities and Equations-54330.png
  • None of these
If sin A = 1/√10 and sin B = 1/√5, where A and B are positive acute angles, then A + B is equal to
  • π
  • π/2
  • π/3
  • π/4
If cos (θ - α) = a and cos (θ - β) = b, then sin2 (α - β) is equal to
  • a2 + b2
  • a2 - b2
  • b2 - a2
  • - a2 - b2
If tan A = 2 tan B + cot B, then 2 tan (A - B) is equal to
  • tan B
  • 2 tan B
  • cot B
  • 2 cot B

Maths-Trigonometric ldentities and Equations-54335.png
  • 0
  • 1
  • 2
  • 3

Maths-Trigonometric ldentities and Equations-54337.png
  • 0
  • cos 2θ
  • sin 2θ
  • cos θ

Maths-Trigonometric ldentities and Equations-54339.png

  • Maths-Trigonometric ldentities and Equations-54340.png
  • 2)
    Maths-Trigonometric ldentities and Equations-54341.png

  • Maths-Trigonometric ldentities and Equations-54342.png

  • Maths-Trigonometric ldentities and Equations-54343.png

  • Maths-Trigonometric ldentities and Equations-54344.png

Maths-Trigonometric ldentities and Equations-54346.png
  • π/3
  • π/4
  • 0
  • π/2
sin 120o cos 150o - cos 240o sin 30o is equal to
  • 1
  • - 1
  • 2/3

  • Maths-Trigonometric ldentities and Equations-54348.png
If p = cos 55o , q = cos 65o and r = 175o, then the value of
Maths-Trigonometric ldentities and Equations-54350.png
  • 0
  • - 1
  • 1
  • None of these

Maths-Trigonometric ldentities and Equations-54352.png
  • tan β + tan γ
  • 2(tan β + tan γ)
  • tan β + 2 tan γ
  • 2 tan β + tan γ

Maths-Trigonometric ldentities and Equations-54354.png
  • tan 26o
  • tan 81o
  • tan 51o
  • tan 54o
  • tan 46o

Maths-Trigonometric ldentities and Equations-54356.png
  • 2
  • 1
  • 0
  • 3
If y = (1 + tan A) (1 - tan B), where A - B = π/4, then (y + 1)y+1 is equal to
  • 9
  • 4
  • 27
  • 81
If tan α/2 and tan β/2 are the roots of 8χ2 - 26χ + 15 = 0, then cos (α + β) is equal to
  • 627/726
  • -(627/725)
  • - 1
  • None of these
If tan χ = 3/4 , π < χ < 3π/2, then the value of cos χ/2 is
  • - (1/√10)
  • 3/√10
  • 1/√10
  • -(3/√10)
0:0:1


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