WORKSHEET ON TRIGONOMETRIC FUNCTIONS

Problem 1 :

If tan θ = -1/√5, and θ lies in the IV quadrant, then the value of cos θ is

a) √5/√6     b) 2/√6     c) 1/2     d) 1/√6

Solution

Problem 2 :

The value of sin 765° is

a) √3     b) √3/2     c) 1/√3     d) 1/√2

Solution

Problem 3 :

Range of cosine function is

a) R     b) (-∞, ∞)     c) (-1, 1)     d) [-1, 1]

Solution

Problem 4 :

Period of sine function is

a) π     b) 2π     c) 3π     d) 4π

Solution

Problem 5 :

a) 1     b) -5     c) -1     d) 2

Solution

Problem 6 :

The domain of sine function is

a) (-1, 1)     b) [-1, 1]     c) (0, ∞)     d) (-∞, ∞)

Solution

Problem 7 :

Solution

Problem 8 :

Domain of cosec x is _____

Solution

Problem 9 :

Solution

Problem 10 :

Solution

Problem 11 :

Evaluate sin 180° + 3 cos 90° - 2 tan 45° + cosec 90°

Solution

Problem 12 :

Solution

Problem 13 :

Find the value of

a) cos 150°     b) tan 19π/3

Solution

Problem 14 :

Write the domain of i) sec x     ii) cot x

Solution

Problem 15 :

Draw the graph of sine function.

Solution

Problem 16 :

Draw the graph of cosine function. Also write its domain and range.

Solution

Answer Key

1)  √5/√6

2)  1/√2

3)   [-1, 1] 

4)  2π units.

5)  1

6)   [-1, 1]

7)  -cosec 𝜋 - √2

8)  R - nπ,

9)  6

10)  sin²x

11)  -1

12)   4 tan²𝜃-3 cosec²𝜃=8

13)  a) -√3/2    b) √3

14)  i)  {x | x ≠ .....-3𝜋/2, -𝜋/2, 𝜋/2, 3𝜋/2.....)

ii)  {x | x ≠ .....-2𝜋, -𝜋, 0, 𝜋, 2𝜋.....}

15)  

16) 

Domain :

All real numbers

Range :

-1 ≤ y ≤ 1