Small Quiz

3

QUESTION 1

If sec θ + tan θ = m( > 1), then the value of sin θ is (0° < θ < 90°) 

(1-m²)/(1+m²)
 

(m²-1)/(m²+1)
 

 (m²+1)/(m²-1)
 

(1+m²)/(1-m²)

QUESTION 2

If (a² – b²) sin θ + 2ab cos θ = a² + b², then tan θ

2ab/(a²-b² )
 

(a²-b²)/2ab
 

ab/(a²-b²)
 

(a²-b²)/ab

QUESTION 3

If 2y cos θ = x sin θ and 2x sec θ – y cosec θ = 3, then the value of x² + 4y² is

1
 

3
 

2
 

 4

QUESTION 4

If sec A + tan A = a, then the value of cos A is

(a²+1)/2a
 

2a/(a²+1)
 

 (a²-1)/2a
 

2a/(a²-1)

QUESTION 5

 If sin P + cosec P = 2, then the value of sin? P + cosec? P is

 1
 

2
 

3
 

 0

QUESTION 6

If cos x.cos y + sin x.sin y = –1 then cos x + cos y is

 –2
 

1
 

0
 

 2

QUESTION 7

The value of the expression 2 (sin? θ + cos? θ) – 3 (sin? θ + cos? θ) + 1 is

–1
 

0
 

1
 

 2

QUESTION 8

If cos θ = (x²  – y²)/(x² + y² ) then the value of cot θ is equal to [if 0 ≤ θ ≤ 90°]

2xy/(x²-y² )
 

 2xy/(x²+y² )
 

(x²+y²)/2xy
 

 (x²-y²)/2xy

QUESTION 9

If x = cosec θ – sin θ and y = sec θ – cos θ, then the relation between x and y is

 x² + y² + 3 = 1
 

x²y²(x² + y² + 3) = 1
 

x²(x² + y² – 5) = 1
 

 y²(x² + y² – 5) = 1

QUESTION 10

If x tan 60° + cos 45° = sec 45° then the value of x² + 1 is

6/7
 

7/6
 

5/6
 

 6/5