FSC Mathematics MCQs Chapter 11 Class 11

Created on January 21, 2022 By Ali Durrani

Math ch 11 Trigonometric Functions and their Graphs

1 / 22

Curves of the trigonometric functions repeat after fixed intervals because trigonometric
functions are

Simple

linear

quadratic

periodic

2 / 22

The graph of trigonometric functions have:

Break segments

Sharp corners

Straight line segments

smooth curves

3 / 22

Period of 𝒕𝒂𝒏𝟒𝒙 is

𝜋

2𝜋

−2𝜋

𝜋/ 4

4 / 22

Period of 𝒔𝒆𝒄𝜽 is

𝜋

2𝜋

−2𝜋

𝜋/2

5 / 22

Period of 𝒄𝒐𝒕𝜽 is

𝜋

2𝜋

−2𝜋

𝜋/ 2

6 / 22

Period of 𝒕𝒂𝒏𝜽 is

𝜋

2𝜋

−2𝜋

𝜋/ 2

7 / 22

Period of 𝒄𝒐𝒔𝜽 is

𝜋

2𝜋

−2𝜋

𝜋 /2

8 / 22

Period of 𝒄𝒐𝒔𝒆𝒄𝜽 is

𝜋

2𝜋

−2𝜋

𝜋/2

9 / 22

Period of 𝒔𝒊𝒏𝜽 is

𝜋

2𝜋

−2𝜋

𝜋/2

10 / 22

Smallest +𝒊𝒗𝒆 number which when added to the original circular measure of the angle
gives the same value of the function is called:

Domain

Range

Co domain

Period

11 / 22

Range of 𝒚 = 𝒄𝒐𝒔𝒆𝒄𝒙 is

𝑅

𝑦 ≥ 1𝑜𝑟 𝑦 ≤ −1

−1 ≤ 𝑦 ≤ 1

𝑅 − [−1,1]

12 / 22

Range of 𝒚 = 𝒔𝒆𝒄𝒙 is

𝑅

𝑦 ≥ 1𝑜𝑟 𝑦 ≤ −1

−1 ≤ 𝑦 ≤ 1

𝑅 − [−1,1]

13 / 22

Range of 𝒚 = 𝒄𝒐𝒕𝒙 is

𝑅

𝑅 − [−1,1]

𝑅 − {0}

Z

14 / 22

Range of 𝒚 = 𝒕𝒂𝒏𝒙 is

𝑅

−1 ≤ 𝑦 ≤ 1

𝑄

𝑅 − {0}

15 / 22

Range of 𝒚 = 𝒄𝒐𝒔𝒙 is

𝑅

−1 ≤ 𝑦 ≤ 1

(−∞, 1) ∪ (1, ∞)

−1 < 𝑦 < 1

16 / 22

Range of 𝒚 = 𝒔𝒊𝒏𝒙 is

𝑅

−1 ≤ 𝑦 ≤ 1

(−∞, 1) ∪ (1, ∞)

−1 < 𝑦 < 1

17 / 22

a

b

c

d

18 / 22

a

b

c

d

19 / 22

a

b

c

d

20 / 22

a

b

c

d

21 / 22

a

b

c

d

22 / 22

a

b

c

d

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FSC Mathematics MCQs Chapter 11 Class 11

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