Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 10

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

The number of values of θ in the interval [-π, π] satisfying the equations cos θ + sin 2θ = 0 is

A
1

B
2

C
3

D
4

Solution
Question 3
4 / -1

If cos θ - 4 sin θ = 1, then sin θ + 4 cos θ is equal to

A
±1

B
0

C
±2

D
4

Solution
Question 4
4 / -1

If cos 2χ = (√2 + 1) (cosχ -(1/√2)) , cos χ ≠ 1/2, χ ϵ I

A

B

C

D

Solution
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

If cos x = tan y, cot y = tan z and cot z = tan x , then sin x is equal to

A

B

C

D

Solution
Question 7
4 / -1

In a ∆PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then ∠R is equal to

A
5π/6

B
π/6

C
π/4

D
3π/4

Solution
Question 8
4 / -1

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

A
- 18

B
0

C
3

D
9

Solution
Question 9
4 / -1

In a ∆ABC, if ∠A = π/2, then cos² B + cos² C equals

A
- 2

B
- 1

C
1

D
0

Solution
Question 10
4 / -1

Which one of the following is possible

A

B

C
tanθ = 45

D

Solution