Class 10th Math Chapter 7 Solutions

Important full class 10th math chapter 7 solutions in Mathematics Urdu Medium by Dear Respectable Sir M. Ramzan Suib. These computerized notes are very helpful in the preparation of class 10th math chapter 7 solutions for students of Mathematics and these are according to the paper patterns of all Punjab boards.

Summary and Contents:
Topics which are discussed in the notes are given below:
  • Important class 10 maths chapter 7 solutions exercise 7.1 for all students of Punjab  Textbook Board.
  • Multiple Choice Questions. Four possible answers are given for the following questions. Tick (✔) the correct answer.
  • (vi). sec² θ = ?  (a) 1 - sin² θ  (b) 1 + tan² θ  (c) 1 + cos² θ  (d) 1-tan² θ
  • (vii). 1 / 1 + sin θ + 1 / - sin θ = ?   (a) 2 sec² θ  (b) 2cos² θ  (c) sec² θ  (d) cos θ
  • (viii). 1 / 2 cosec45° = (a) 1 / 2√2  (b) 1 / √2 (c) √2   (d) √3 / 2
  • Important class 10 maths chapter 7 solutions exercise 7.2 for all students of Punjab  Textbook Board.
  • (ix). sec θ cot θ = ?   (a) sin θ  (b) 1 / cos θ   (c)  1 / sin θ   (d) sin θ / cos θ
  • (x) cosec² θ - cot² θ = ?  (a) -1  (b) 1  (c) 0  (d) tan θ
  • A road is inclined at an angle 5.7º. Suppose that we drive 2 miles up this road starting from sea level. How high above sea level are we?
  • Important 10 class math exercise 7.1 solution for all students of Punjab  Textbook Board.
  • A television antenna of 8 feet height is located on the top of a house. From a point on the ground the angle of elevation to the top of the house is 17º and the angle of elevation to the top of the antenna is 21.8°. Find the height of the house.
  • Important 10 class math exercise 7.1 solution pdf for all students of Punjab  Textbook Board.
  • Measurement of an AngleAn angle is defined as the union of two non-collinear rays with some common end point. The rays are called arms of the angle and the common end point is known as vertex of the angle. It is easy if we make an angle by rotating a ray from one position to another. 
  • Important 10 class math exercise 7.2 solution pdf for all students of Punjab  Textbook Board.
  • When we form an angle in this way, the original position of the ray is called initial side and final position of the ray is called the terminal side of the angle. If the rotation of the ray is anti- clockwise or clockwise, the angle has positive or negative measure respectively.
  • Important 10 class math exercise 7.3 solution for all students of Punjab  Textbook Board.
  • (i) Measurement of an angle in sexagesimal system (degree, minute and second)
  • Degree: We divide the circumference of a circle into 360 equal arcs. The angle subtended at the centre of the circle by one arc is called one degree and is denoted by 1º.
  • Important 10 class math exercise 7.4 solution for all students of Punjab  Textbook Board.
  • The symbols 1º, I' and 1" are used to denote a degree, a minute and a second respectively.
  • Thus , 60 seconds (60") make one minute , 60 minutes (60') make one degree (1°) , 90 degrees (90°) make one right angle , 360 degrees (360°) make 4 right angles , An angle of 360° denotes a complete circle or one revolution.
  • Important 10 class math exercise 7.4 solution pdf for all students of Punjab  Textbook Board.
  •  We use coordinate system to locate any angle to a standard position, where its initial side is the positive x-axis and its vertex is the origin.
  • (ii) Radian measure of an angle (circular system):
  • Another system of measurement of an angle known as circular system is of most importance and is used in all the higher branches of Mathematics.
  • Important 10 class math exercise 7.5 solution pdf for all students of Punjab  Textbook Board.
  • Radian: The angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is called one Radian.

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