Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 23

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Weekly Quiz Competition

Question 1
4 / -1

The solution of tan 2θ tan θ = 1 is

A
π/3

B
(6n ± 1)π/6

C
(4n ± 1)π/6

D
(2n ± π)π/6

Solution
Question 2
4 / -1

The set of values of θ satisfying the equation 2sin² θ - 5 sin θ + 2 > 0, where 0 < θ < 2π is

A

B

C

D
None of these

Solution
Question 3
4 / -1

The number of values of χ in the interval [0, 3π] satisfying the equation 2 sin² χ + 5 sinχ - 3 = 0 is

A
6

B
1

C
2

D
4

Solution
Question 4
4 / -1

The general solution of sinχ - cos χ = √2, for any integer n is

A
nπ

B
2nπ + 3π/4

C
2nπ

D
(2n + 1)π

Solution
Question 5
4 / -1

Which one of the following equations has no solution ?

A
cosec θ - sec θ - cosec θ . sec θ

B
cosec θ . sec θ = 1

C
cos θ + sin θ = √2

D
√3 sin θ - cos θ = 2

Solution
Question 6
4 / -1

If tan (k + 1)θ = tan θ, then θ belongs to the set

A
{nπ : n ϵ I}

B
{nπ/2 : n ϵ I}

C
{nπ/k : n ϵ I}

D
{nπ/2k : n ϵ I}

Solution
Question 7
4 / -1

A
A.P.

B
G.P.

C
H.P.

D
None of these

Solution
Question 8
4 / -1

A

B

C

D
None of these.

Solution
Question 9
4 / -1

Let A and B denote the statements
A : cos α + cos β + cos γ = 0
B : sin α + sin β + sin γ = 0
If cos ( β - γ) + cos ( γ - α ) + cos (α - β ) = -(3/2), then

A
A is correct and B is incorrect

B
A is incorrect and B is correct

C
both A and B are correct

D
both A and B are incorrect

Solution
Question 10
4 / -1

If cosec A + sec A = cosec B + sec B, then tan A tan B is equal to

A

B

C

D

Solution