Class 11 Maths Chapter 9 Notes
Important Complete Class 11 Maths Chapter 9 Notes written by Professor M. Sulman Sherazi Suib. These notes are very helpful in the preparation of Fundamentals of Trigonometry Class 11 for the students of Mathematics of the Intermediate 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:
- Our comprehensive Class 11 Maths Chapter 9 Notes will ensure you're fully prepared for your exams.
- What are the trigonometry and units of measure of angles
- Definition of angles with their symbol
- The Sexagesimal System is also known as the " English System"
- What is the circular system or radius with its figure
- Relation between the length of an Arc and a circle and circular measure of its Central angle.
- Conversion of Radian into degree and vice versa
- Define the General angle or determinants with its symbol
- Angle in the standard position
- Define the quadrilateral angles with their symbols and notations and trigonometric functions with their notations with diagram
- Fundamental identities and Signs of the trigonometric function.
- What is the length of the arc intercepted on a circle of radius 14 cms by the arms of a central angle of 45°?
- Find the radius of the circle, in which the arms of a central angle of measure 1 radian cut of an arc of length 35 cm.
- A railway train is running on a circular track of radius 500 meters at the rate of 30 km per hour. Through what angle will it turn in 10 sec.?
- A horse is tethered to a peg by a rope of 9 meters length and it can move in a circle with the peg as centre. If the horse moves along the circumference of the circle, keeping the rope tight, how far will it have gone when the rope has turned through an angle of 70°?
- The pendulum of a clock is 20 cm long and it swings through an angle of 20° each second. How far does the tip of the pendulum move in 1 second?
- Assuming the average distance of the earth from the sun to be 148 x 106 km and the angle subtended by the sun at the eye of a person on the earth of measure 9.3 x 10-3 radian. Find the diameter of the sun.
- A circular wire of radius 6 cm is cut straightened and then bent so as to lie along the circumference of a hoop of radius 24 cm. Find the measure of the angle which it subtends at the centre of the hoop.
- Show that the area of a sector of a circular region of radius r is 1 / 2 r2 q , where q is the circular measure of the central angle of the sector.
- Two cities A and B lie on the equator such that their longitudes are 45°E and 25°W respectively. Find the distance between the two cities, taking radius of the earth as 6400 kms.
- The moon subtends an angle of 0.5° at the eye of an observer on earth. The distance of the moon from the earth is 3.844 x 105 km approx. What is the length of the diameter of the moon?
- The angle subtended by the earth at the eye of a spaceman, landed on the moon, is 1° 54’. The radius of the earth is 6400 km. Find the approximate distance between the moon and the earth.
- What is the circular measure of the angle between the hands of a watch at 4 O’clock? Find q.
- Convert the following radian measures of angles into the measures of sexagesimal system:
- where r is the radius of the circle l, is the length of the arc and q is the circular measure of the central angle.