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Worksheets

trignometry

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

The value of sin2 θ+ 1tan2θ\frac{1}{\tan^2\theta}  is equal to

a)

tan2 θ

b)

1

c)

 cot2 θ

d)

0

2.

tan θ cosec2 θ – tan θ is equal to ………………

 

a)

sec θ

b)

cot2 θ 

c)

sin θ

d)

cot θ

3.

If (sin α + cosec α)2 + (cos α + sec α)2 = k + tan2 α + cot2 α, then the value of k is

a)

9

b)

7

c)

5

d)

3

4.

  If sin θ + cos θ = a and sec θ + cosec θ = b , then the value of b (a2 – 1) is equal to

a)

2a

b)

3a

c)

0

d)

2ab

5.

If 5x = sec θ and 5x\frac{5}{x}  =tanθ then x21x2x^2-\frac{1}{x^2}  equal to

a)

25

b)

125\frac{1}{25}  

c)

5

d)

1

6.

If sinθ = cosθ then 2tan2θ+sin2θ12\tan^2θ+\sin^2θ-1  is equal to

a)

32\frac{-3}{2}  

b)

32\frac{3}{2}  

c)

23\frac{-2}{3}  

d)

23\frac{2}{3}  

7.

If x = a tan θ and y = b sec θ then …………..

a)

y2b2x2a2=1\frac{y^2}{b^2}-\frac{x^2}{a^2}=1  

b)

x2a2y2b2=1\frac{x^2}{a^2}-\frac{y^2}{b^2}=1  

c)

x2a2+y2b2=1\frac{x^2}{a^2}+\frac{y^2}{b^2}=1  

d)

x2a2y2b2=0\frac{x^2}{a^2}-\frac{y^2}{b^2}=0  

8.

  (1 + tan θ + sec θ) (1 + cot θ – cosec θ) is equal to ……………

a)

0

b)

1

c)

2

d)

-1

9.

a cot θ + b cosec θ = p and b cot θ + a cosec θ = q then p2 – q2 is equal to

a)

a2 – b2  

b)

b2 – a2

c)

a2 + b2  

d)

b-a