CBSE - Trigonometry

1 Trigonometry 

If a cosθ – bsinθ = c, then asinθ + bcosθ = 

2 Trigonometry 

If sinθ – cosθ = √2sin(90°– θ) , then tanθ = 

(1) √2 – 1    
(2) √2    
(3) 1–√2    
(4) √2 +1

3 Trigonometry 

If ABCD is a cyclic quadrilateral, the value of tanA/2 tanC/2 + tanB/2 tanD/2

1) 0
2) 1
3) -1
4) 2

4 Trigonometry 

 If  2x  = secq =  and  2 / x  = tanq, then find the value of   2(x²-1/ x²)

1) 0
2) 1
3) 2
4) 3

5 Trigonometry 

The least value of   is

1) 4
2) 2Ö2
3) 2
4) Ö2

6 Trigonometry 

The value of sin²q + 1/ (1 + tan²q) is

1) sin²q
2) cos²q
3) sec²q
4) 1

7 Trigonometry 

(1 + tanθ + secθ) (θ+ cotθ – cosecθ) is equal to :

(1) 0  
(2) 2 
(3) 1 
(4) –1

8 Trigonometry 

If 2y cosθ=xsinθ and 2xsecθ-ycosecθ= 3, the value of x² + 4y² is

(1) 2
(2) 1
(3) 0
(4) 4

9 Trigonometry 

If tanθ  = -1 then find the value of  secθ + cosecθ / cosθ - sinθ

1) 0
2) 1
3) -Ö2
4) Ö2

10 Trigonometry 

 If  secø + tanø = 4, then sinø and cosø = ?

1) 2/17, 3/17
2) 15/17 , 8/17
3) 5 / 6
4) 7 / 6