Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 11

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Weekly Quiz Competition

Question 1
4 / -1

If cos 20^o - sin 20^o = p, then cos 40^o is equal to

A
P² √(2 - p²)

B
P√(2 - p²)

C
P + √(2 - p²)

D
P - √(2 - p²)

Solution
Question 2
4 / -1

If S_n = cosⁿ θ + sinⁿ θ, then the value of 3S₄ - 2S₆ is given by

A
4

B
0

C
1

D
7

Solution
Question 3
4 / -1

If cosχ + cos²χ = 1, then the value of sin¹²χ + 3 sin¹⁰χ + 3 sin⁸ χ +sin⁶χ - 1 is

A
2

B
1

C
- 1

D
0

Solution
Question 4
4 / -1

sin² 17.5^o + sin² 72.5^o is equal to

A
cos² 90^o

B
tan² 45^o

C
cos² 30^o

D
sin² 45^o

Solution
Question 5
4 / -1

If θ ϵ (0, π/4) and t₁ = (tan θ)^{tan θ}, t₂ = (tan θ)^{cot θ}, t₃ = (cot θ)^{tan θ} and t₄ = (cot θ)^{tan θ}, then

A
t₁ > t₂ > t₃ > t₄

B
t₄ > t₃ > t₁ > t₂

C
t₃ > t₁ > t₂ > t₄

D
t₂ > t₃ > t₁ > t₄

Solution
Question 6
4 / -1

If 12 cot² θ - 31 cosec θ + 32 = 0, the the value of sin θ is

A
3/5 or 1

B
2/3 or - (2/3)

C
4/5 or 3/4

D
± 1/2

Solution
Question 7
4 / -1

If sin θ + cosec θ = 2, then the value of sin¹⁰ θ + cosec¹⁰ θ is

A
2

B
2¹⁰

C
2⁹

D
10

Solution
Question 8
4 / -1

If sin θ = sin α, then

A

B

C

D

Solution
Question 9
4 / -1

tan 81^o - tan 63^o - tan 27^o + tan 9^o equals

A
6

B
0

C
2

D
4

Solution
Question 10
4 / -1

ABCD is trapezium, such that AB and CD are parallel and BC ⊥ CD. If ∠ADB = θ, BC = p and CD = q, then Ab is

A

B

C

D

Solution