Engineering Ethics
Engineers design product to be used by consumers and fabricated by builders. The safety
of the consumers while using the products and the builders while building the products is largely
dependent on the care taken by the engineer during

Exercise 8.3 (Solutions)
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Binomial Theorem when n is negative or fraction:
When n is negative or fraction and x <

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Exercise 8.2 (Solutions)
Page 273
Textbook of Algebra and Trigonometry for Class XI
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Binomial Theorem
If a and x are two real number and n is a positive integer t

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Exercise 10.2 (Solutions)
Textbook of Algebra and Trigonometry for Class XI
Available online @ http:/www.mathcity.org, Version: 1.0.2
Question # 1
(i) L.H.S = sin(180 + ) = sin180 cos + cos180 sin
= sin ( 0 ) cos + ( 1)

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Exercise 10.4 (Solutions)
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Question # 1
(i) Since 2sin cos = sin( + ) + sin( )
Put = 3 and =
2sin 3 cos = sin(3 + ) + sin(3 )
= sin 4 + sin 2
(ii)
q
Since 2cos co

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Exercise 8.1 (Solutions)
Textbook of Algebra and Trigonometry for Class XI
Available online @ http:/www.mathcity.org, Version: 1.6.7
Principle of Mathematical Induction
A given statement S (n) is true for each positive i

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Exercise 9.3 (Solutions)
Textbook of Algebra and Trigonometry for Class XI
Available online @ http:/www.mathcity.org, Version: 1.0.0
Question # 1 (i)
L.H.S = sin 60o cos30o cos 60o sin 30o
3 1
3 1 2 1
3 3 1 1
=
=
=
=

Exercise 9.2 (Solutions)
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Question # 1 & 2
Do yourself
Question # 3 (i)
Since sin < 0 so lies in IIIrd or IVth qu

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Question # 1
12
(i) sin =
;
13
Exercise 10.3 (Solutions)
Textbook of Algebra and Trigonometry for Class XI
Available online @ http:/www.mathcity.org, Version: 1.0.2
0 < <
2
Since
cos = 1 sin 2
As is in the first quadran

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Exercise 7.3 (Solutions)
Textbook of Algebra and Trigonometry for Class XI
Available online @ http:/www.mathcity.org, Version: 2.0.5
Question # 1 (i)
PAKPATTAN
Number of letters = n = 9
Number of Ps = p = 2
Number of As

Photoresistors
A photoresistor is a resistor that responds to light. Resistance in a photoresistor decreases
with higher levels of light. The way it works is a semiconductor absorbs photons from light. The
photons give bound electrons on the semiconductor

Exercise 12.1 (Solutions)
MathCity.org
Textbook of Algebra and
and Trigonometry for Class XI
Merging man and maths
Available online @ http:/www.mathcity.org, Version: 1.0.0