(2 cos θ -(2 cos 2θ -(2 cos 4θ - 1)

(2 cosθ +(2 cos 2θ +(2 cos 4θ + 1)

(cos θ -(cos 2θ -(cos 4θ + 1)

(2 cos θ +(2 cos 2θ +(cos 4θ + 1)

In ∆ABC, if sin 2 A + sin 2 B + sin 2 C = 2, then the triangle is

right angle but need not be isosceles

isosceles but need not be right angled

JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 2

Maths-Trigonometric ldentities and Equations-54139.png

0%
0
0%
1/2
0%
3/2
0%
1

In a right angled triangle, if the hypotenuse is 2√2 times the length of perpendicular drawn from the opposite vertex on the hypotenuse, the the other two angles are

0%
π/3 , π/6
0%
π/4 , π/4
0%
π/8 , 3π/8
0%
π/12 , 5π/12

Maths-Trigonometric ldentities and Equations-54142.png

0%
√3/4
0%
4/√3
0%
2/√3
0%
√3/2

The value of tan α + 2 tan (2α) + 4 tan (4α) +...+2^n-1 tan(2^n-1α) + 2ⁿ cot (2ⁿα) is

0%
cot(2nα)
0%
2n tan(2nα)
0%
0
0%
cot α

If tan A and tan B are the roots of χ² - aχ + b = 0, then the value of sin² (A + B) is

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54150.png

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54156.png

0%
0%
2)
0%
0%

If sin 4A - cos 2A = cos 4A - sin 2A (where, 0 < A < π/then the value of tan 4A is

0%
1
0%
1/√3
0%
√3
0%
0%

Maths-Trigonometric ldentities and Equations-54165.png

0%
√2
0%
√3
0%
2
0%
4
0%
√5

The value of sin 20^o (4 + sec 20^o) is

0%
0
0%
1
0%
√2
0%
√3

Maths-Trigonometric ldentities and Equations-54168.png

0%
(2 cosθ +(2 cos 2θ +(2 cos 4θ + 1)
0%
(cos θ -(cos 2θ -(cos 4θ + 1)
0%
(2 cos θ -(2 cos 2θ -(2 cos 4θ - 1)
0%
(2 cos θ +(2 cos 2θ +(cos 4θ + 1)

The smallest value of 5 cos θ + 12 is

0%
5
0%
12
0%
7
0%
17

In ∆ABC, if sin² A + sin² B + sin² C = 2, then the triangle is

0%
right angle but need not be isosceles
0%
right angled and isosceles
0%
isosceles but need not be right angled
0%
equilateral

The maximum value of 4sin²χ - 12 sinχ + 7 is

0%
25
0%
4
0%
does not exist
0%
None of these

If A + B + C = π, then sin 2A + sin 2B + sin 2C is equal to

0%
4 sin A sin B sin C
0%
4 cos A cos B cos C
0%
2 cos A cos B cos C
0%
2 sin A sin B sin C

The minimum value of f(χ) = sin⁴ χ + cos⁴ χ , 0 ≤ χ ≤ π/2 is

0%
1/2√2
0%
1/4
0%
-1/2
0%
1/2

The maximum value of the function 3 cos χ - 4 sin χ is

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

For all values of θ, the value of 3 - cos θ + cos (θ + π/lies in the interval

0%
[-2 , 3]
0%
[-2 , 1]
0%
[2 , 4]
0%
[1 , 5]

If A + B = C, then cos² A + cos² B + cos² C - 2 cos A cos B cos C is equal to

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

sech^-1 (1/- cosech^-1 (3/equals

0%
0%
2)
0%
0%

The curve represented by
χ = a (sinh θ + cos h θ)
y = b (-sinh θ + cosh θ) is

0%
a hyperbola
0%
a parabola
0%
an ellipse
0%
a circle

If sinh^-1 (+ sinh^-1 (= χ, the cosh χ is equal to

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54189.png

0%
2ee-χ/2
0%
2e-χ/2
0%
e-χ
0%
eχ

sech^-1 (sin θ) is equal to

0%
log tan θ/2
0%
log sin θ/2
0%
log cos θ/2
0%
log cot θ/2

2 tanh^-1 (1/is equal to

0%
0
0%
log 2
0%
log 3
0%
log 4

sech^-1 (1/2)is equal to

0%
log (√3 + √2)
0%
log (√3 + 1)
0%
log(2 + √3)
0%
None of these

The number of solutions of the equation (1 - cos 2χ) (cos 2χ + cot² χ) = 0, 0 ≤ χ ≤ 2π is

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

The general solution of sin 3χ + sinχ - 3 sin 2χ = cos 3χ + cos χ - 3 cos 2χ is

0%
0%
2)
0%
0%

Maths-Trigonometric ldentities and Equations-54200.png

0%
0%
2)
0%
0%

The equation e^sinχ - e^-sinχ - 4 = 0 has

0%
infinite number of real roots
0%
no real roots
0%
exactly one real roots
0%
exactly four roots

If sin 2χ = 4 cos χ, then χ is equal to

0%
0%
no value
0%
0%

The value of θ satisfying cos θ +√3 sin θ = 2 is

0%
30o
0%
60o
0%
45o
0%
90o

The possible values of θ ϵ (0,π) such that sin (θ) + sin (4θ) + sin (7θ) = 0 are

0%
0%
2)
0%
0%

A value of θ satisfying 5θ - sin 3θ + sin θ = 0, such that 0 < θ < π/2 is

0%
π/12
0%
π/6
0%
π/4
0%
π/2

If sin θ + cos θ = 0 and 0 < θ < π, then θ is equal to

0%
0
0%
π/4
0%
π/2
0%
3π/4

Maths-Trigonometric ldentities and Equations-54219.png

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

The number of points of intersection of 2y = 1 and y = sin χ in -2π ≤ χ ≤ 2π is

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

The value of χ in (0, π/satisfying the equation sin χ cos χ = 1/4 is

0%
π/6
0%
π/3
0%
π/8
0%
π/4
0%
π/12

The number of solutions of cos 2θ = sin θ in (0, 2π) is

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

If sin 6θ + sin 4θ + sin 2θ = 0, then the general value of θ is

0%
0%
2)
0%
0%

solution of the equation 3 tan (θ - 15^o) = tan (θ + 15^o) is

0%
θ = nπ - π/3
0%
θ = nπ + π/3
0%
θ = nπ - π/4
0%
θ = nπ + π/4

If 2 sec 2α = tan β + cot β, then one of the value of α + β is

0%
π/4
0%
π/2
0%
π
0%
n π - π/4, n ϵ I

The solutions of the equation 4 cos² χ + 6 sin²χ = 5 are

0%
χ = nπ ± π/4
0%
χ = nπ ± π/3
0%
χ = nπ ± π/2
0%
χ = nπ ± 2π/3

If 5 cos 2θ + 2 cos² θ/2 + 1 = 0, where 0 < θ < π, then the value of θ

0%
π/3 ± π
0%
π/3 , cos-1 (3/5)
0%
cos-1 (3/± π
0%
π/3 , π - cos-1 (3/

The number of solutions of the equation sinχ cos 3χ = sin 3χ cos 5χ in [0, π/2] is

0%
3
0%
4
0%
5
0%
6

If 1 + sin θ + sin² θ +... = 4 + 2√3; 0 < θ < π, θ ≠ π/2, then

0%
θ = π/3
0%
θ = π/6
0%
θ = π/3 or π/6
0%
θ = π/3 or 2π/3

The most general solutions of the equation secχ - 1 = (√2 -tan χ are given by

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

The number of solutions of the equation sin 2χ + cos 4χ = 2 is

0%
0
0%
1
0%
2
0%
∞

The solution of sinχ + sin 5χ = sin 3χ in (0, π/is

0%
0%
2)
0%
0%

If cot χ + cosec χ = √3 , then the principal value of (χ - π/6)

0%
π/3
0%
π/4
0%
π/2
0%
π/6

JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 2 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 2 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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