FSC Mathematics MCQs Chapter 10 Class 11

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Created on January 21, 2022 By Ali Durrani

Math Ch 10 Trigonometric Identities

1 / 19

𝒔𝒊𝒏(𝟏𝟖𝟎° + 𝜶)𝒔𝒊𝒏(𝟗𝟎° − 𝜶) =

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛼

– 𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛼

𝑐𝑜𝑠𝛾

– 𝑐𝑜𝑠𝛾

2 / 19

𝒔𝒆𝒄(−𝟑𝟎𝟎°) =

1

0

2

-1

3 / 19

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a

b

c

d

4 / 19

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a

b

c

d

5 / 19

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a

b

c

d

6 / 19

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a

b

c

d

7 / 19

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a

b

c

d

8 / 19

Angles associated with basic angles of measure 𝜽 to a right angle or its multiple are
called:

Coterminal angle

angle in standard position

Allied angle

obtuse angle

9 / 19

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a

b

c

d

10 / 19

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a

b

c

d

11 / 19

𝒔𝒊𝒏(𝟐𝝅 − 𝜽) =

𝑐𝑜𝑠𝜃

– 𝑐𝑜𝑠𝜃

𝑠𝑖𝑛𝜃

– 𝑠𝑖𝑛𝜃

12 / 19

𝒄𝒐𝒔(𝟐𝝅 − 𝜽) =

𝑐𝑜𝑠𝜃

– 𝑐𝑜𝑠𝜃

𝑠𝑖𝑛𝜃

– 𝑠𝑖𝑛𝜃

13 / 19

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a

b

c

d

14 / 19

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a

b

c

d

15 / 19

𝒔𝒊𝒏(𝜶 − 𝜷) is equal to:

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 + 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 − 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 + 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 − 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

16 / 19

𝒔𝒊𝒏(𝜶 + 𝜷) is equal to:

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 + 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 − 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 + 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 − 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

17 / 19

𝒄𝒐𝒔(𝜶 + 𝜷) is equal to:

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 + 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 − 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 + 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 − 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

18 / 19

Fundamental law of trigonometry is , 𝒄𝒐𝒔(𝜶 − 𝜷)

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 + 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑐𝑜𝑠𝛼𝑐𝑜𝑠𝛽 − 𝑠𝑖𝑛𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 + 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛽 − 𝑐𝑜𝑠𝛼𝑠𝑖𝑛𝛽

19 / 19

Distance between the points 𝑨(𝟑, 𝟖) & 𝐵(5,6) is:

2√2

3

4

√2

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The average score is 62%

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January 21, 2022

Ali Durrani

2 responses to “FSC Mathematics MCQs Chapter 10 Class 11”

Arooj says:

July 8, 2022 at 5:39 am

In this McQ 4 option c is right
- Ali Durrani says:
  
  July 15, 2022 at 8:46 pm
  
  Thanks

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