JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 4

Maths-Trigonometric ldentities and Equations-54361.png

0%
is equal to zero
0%
lies between 0 and 3
0%
is a negative number
0%
lies between 3 and 6

Maths-Trigonometric ldentities and Equations-54363.png

0%
0%
2)
0%
0%

If χ and y are acute angles, such that cos χ + cos y = 3/2 and sin χ + sin y = 3/4, then sin (χ + y) equals

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2/5
0%
3/4
0%
3/5
0%
4/5

Find the value of cos (χ/2), if tan χ = 5/12 and χ lies in quadrant III

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5/√13
0%
5/√26
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5/√13
0%
√(1/26)

If A , B and C are the angles of a triangles, such that sec (A - B) , sec A and sec (A + B) are in arithmetic progression, then

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cosec2 A = 2 cosec2 B/2
0%
2 sec2 A = sec2 B/2
0%
2 cosec2 A = cosec2 B/2
0%
2 sec2 B = sec2 A/2

Maths-Trigonometric ldentities and Equations-54372.png

0%
0%
2)
0%
0%
0%

Maths-Trigonometric ldentities and Equations-54379.png

0%
1
0%
2
0%
- 1
0%
4

Maths-Trigonometric ldentities and Equations-54381.png

0%
sec χ/2
0%
sec χ
0%
cosec χ
0%
1

The value of cos 15^o cos 7 1^o/2 sin 7 1^o/2 is

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1/2
0%
1/8
0%
1/4
0%
1/16

In a ∆ ABC , if sin A - cos B = cos C, then ∠ B is equal to

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π/2
0%
π/3
0%
π/4
0%
π/6

Maths-Trigonometric ldentities and Equations-54385.png

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tan 2θ
0%
tan 3θ
0%
tan2 θ
0%
tan3 θ

√3 cosec 20^o - sec 20^o is equal to

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2
0%
2 sin 20o cosec 40o
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4
0%
4 sin 20o cosec 40o

If χ + 1/χ = 2 cosθ, then χⁿ + 1/χⁿ is equal to

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2 sin n θ
0%
2 cos nθ
0%
sin (2nθ)
0%
cos (2n θ)

Maths-Trigonometric ldentities and Equations-54389.png

0%
sin 2A
0%
cos 2A
0%
tan 2A
0%
cot 2A

Maths-Trigonometric ldentities and Equations-54391.png

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54397.png

0%
√2 tan β
0%
tan β
0%
sin 2β
0%
√2 cot β

Maths-Trigonometric ldentities and Equations-54399.png

0%
0%
2)
0%
0%
0%

If tan χ = b/a , then the value of a cos 2χ + b sin 2χ is

0%
a
0%
a - b
0%
a + b
0%
b

Maths-Trigonometric ldentities and Equations-54407.png

0%
0%
2)
0%
0%

If 0 < χ < π and cos χ + sin χ = 1/2, then tan χ is equal to

0%
0%
2)
0%
0%

cos⁴ θ - sin⁴ θ is equal to

0%
0%
2)
0%
0%

cosec 15^o - sec 15^o is equal to

0%
2√2
0%
√6
0%
2√6
0%
√6 + √2

Maths-Trigonometric ldentities and Equations-54424.png

0%
2
0%
4
0%
6
0%
8

Maths-Trigonometric ldentities and Equations-54426.png

0%
χ2 - 1
0%
2)
0%
0%
χ2 + 1

If n = 1,2,3... , then cos α cos 2α cos 4α ...cos^2n-1 α is equal to

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54435.png

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54441.png

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6 ≤ n ≤ 8
0%
4 < n ≤ 8
0%
4 ≤ n < 8
0%
4 < n < 8

The least value of 3 sin² θ + 4 cos² θ is

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2
0%
3
0%
0
0%
1

If A = sin² χ + cos⁴ χ, then for all real χ

0%
0%
2)
0%
0%

The maximum value of f(χ) = sin χ (1 + cosχ) is

0%
3√3/4
0%
3√3/2
0%
3√3
0%
√3

The minimum value of 27^cos2χ . 81^sin2χ is

0%
- 5
0%
1/5
0%
1/243
0%
1/27

The value of 1 + cos 56^o + cos 58^o - cos 66^o is

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4 cos 28o cos 29o sin 33o
0%
cos 28o cos 29o sin 33o
0%
4 cos 28o sin 29o cos 33o
0%
4 cos 28o sin 29o sin 33o

The maximum value of 3 cos χ + 4 sin χ + 5 is

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5
0%
6
0%
7
0%
None of these

Maths-Trigonometric ldentities and Equations-54453.png

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54459.png

0%
- (√3/2)
0%
1/2
0%
√3/2
0%
3/2

Maths-Trigonometric ldentities and Equations-54461.png

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54467.png

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54473.png

0%
5
0%
11
0%
10
0%
- 11

If 5 cos χ + 12 cos y = 13, then the maximum value of 5 sinχ + 12 sin y is

0%
12
0%
√120
0%
√20
0%
13

If f : R ⟶ S defined by f(χ) = sinχ - √3 cos χ + 1 is onto, then the interval of S is

0%
[0,1]
0%
[0,3]
0%
[-1, 1]
0%
[-1,3]

Maths-Trigonometric ldentities and Equations-54477.png

0%
0
0%
1
0%
2
0%
3
0%
4

If α + β + γ = π, then sin² α + sin² β - sin² γ is equal to

0%
2 sinα sin β cos γ
0%
2 cosα cos β cos γ
0%
2 sinα sin β sin γ
0%
None of the above

If y = cos² χ sec² χ, then

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y ≤ 2
0%
y ≤ 1
0%
y ≥ 2
0%
1 < y < 2

The maximum value of sin θ + cos θ in [θ , π/2] is

0%
√2
0%
2
0%
0
0%
-√2

The maximum value of 4 sin² χ + 3 cos² χ is

0%
4
0%
3
0%
7
0%
5

Maths-Trigonometric ldentities and Equations-54483.png

0%
i tanh-1 y
0%
- i tanh-1 (y)
0%
i tan-1 y
0%
- tan-1 (y)

e^{log(cosh^-1 2))} is equal to

0%
log (2 - √3)
0%
log (√3 - 2)
0%
log (2 + √3)
0%
log (2 + √5)

The sum of the solutions in (0, 2π) of the equation
Maths-Trigonometric ldentities and Equations-54486.png

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4π
0%
π
0%
2π
0%
3π

let f(χ) = χ sin π χ, χ > 0. Then, for all natural numbers n, f\'( χ) vanishes at

0%
a unique point in the interval (n , n + 1/2)
0%
a unique point in the interval (n + 1/2, n + 1)
0%
a unique point in the interval (n, n - 1)
0%
two points in the interval (n, n + 1)

The most general solution of the equation sec² χ = √2(1 - tan² χ) are given by

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nπ ± π/4
0%
2 nπ + π/4
0%
nπ ± π/8
0%
None of these

JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 4 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 4 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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