Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 22

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Weekly Quiz Competition

Question 1
4 / -1

The number of values of χ in [0, 2π] satisfying the equation 3 cos 2χ - 10 cos χ + 7 = 0 is

A
1

B
2

C
3

D
4

Solution
Question 2
4 / -1

{ χ ϵ R : cos 2χ + 2 cos² χ = 2} is equal to

A

B

C

D

Solution
Question 3
4 / -1

If cos χ ≠ - (1/2) , then solutions of cos χ + cos 2χ + cos 3χ = 0 are

A

B

C

D

Solution
Question 4
4 / -1

The number of solutions of sin χ = sin 2χ between -(π/2) and π/2 is

A
3

B
2

C
1

D
0

Solution
Question 5
4 / -1

The number of solutions of the pair of equations 2 sin² θ - cos 2θ = 0 and 2 cos² θ - 3 sin θ = 0 in the interval [0, 2π] is

A
0

B
1

C
2

D
4

Solution
Question 6
4 / -1

The number of solutions of the equation 1 + sin χ sin² χ/2 = 0, in [-π, π] is

A
0

B
1

C
2

D
3

Solution
Question 7
4 / -1

Number of solutions of y = e^χ and y = sin χ is

A
0

B
1

C
2

D
infinite

Solution
Question 8
4 / -1

If sin 3θ = sin θ, how many solutions exists such that 0 < θ < 2π ?

A
8

B
9

C
5

D
7

Solution
Question 9
4 / -1

The equations 3 sin² χ + 10 cos χ - 6 = 0 is satisfied, if

A

B

C

D

Solution
Question 10
4 / -1

The general value of θ is the equation cos θ = 1/√2, tanθ = - 1 is

A

B

C

D

Solution