ASCOT Library Zabali Campus

Chapter 1 functions and relations –
1.1 Rectangular coordinate system –
1.2 Distance between two points –
1.3 Midpoint formula –
1.4 Function and relation –
1.5 Inverse function and relation –
1.6 Operations with functions and relations –
1.7 Graphs of functions and relations –
Chapter 2 exponential and logarithmic functions –
2.1 Exponential function –
2.2 Logarithmic function –
2.3 Common logarithms –
2.4 Natural logarithm –
2.5 Solution of exponential and logarithmic equations –
Chapter 3 circle, arc length, and angles –
3.1 the circle –
3.2 Arc length of a circle –
3.3. Angles –
3.4 Angle measurement –
3.5 Length of an intercepted arc –
Chapter 4 circular functions –
4.1 Coordinate function –
4.2 Circular functions –
4.3 Signs of the circular functions identities –
4.4 Fundamental circular functions identities –
4.5 Proving identities –
4.6 Special angles –
4.7 Addition formulas –
4.8 Double-angle formulas –
4.9 Half-angle formulas –
4.10 Tales and graphs of circular functions –
Chapter 5 inverse circular functions –
5.1 Inverse circular function –
5.2 Principal values –
5.3 General values –
5.4 Operations involving circular functions –
5.5 Graphs of the inverse circular functions –
Chapter 6 trigonometric equations –
6.1 Trigonometric equations –
6.2 Solution of trigonometric equations –
6.3 Methods for solving trigonometric equations –
Chapter 7 solutions of right triangles –
7.1 Trigonometric functions of an acute angle –
7.2 Trigonometric functions of complementary angles –
7.3 Angle of elevation and angle of depression –
7.4 Bearings –
7.5 Vectors –
Chapter 8 solutions of oblique triangles –
8.1 Oblique triangles –
8.2 Law of sines –
8.3 Law of cosines –
Chapter 9 area of a triangle –
9.1 Area of right triangle –
9.2 Area of an oblique triangle –
Chapter 10 complex numbers
10.1 Pure imaginary number –
10.2 Complex numbers –
10.3 Algebraic operations of complex numbers –
10.4 Graphic representation of complex numbers –
10.5 Graphic representation of addition and subtraction –
10.6 Trigonometric or polar form of complex numbers –
10.7 Roots of complex numbers.

"An intense desire to help the students in the study of Trigonometry has driven the authors to write this book. This text has been written not only to help the average student learn and acquire the skills associated with the study of Plane Trigonometry but also to provide him with the right treatment of the modern materials of the subject. We have employed modern notations and terminologies in our development, such modern efforts have been used to the extent that they are necessary and helpful. The applications are numerous and in wide variety. The figures have been carefully drawn and labeled for greater usefulness and answers have been rounded off consistent with the given data. The problems in this text have been carefully selected, the solutions have been derived in great detail, and systematically written to illustrate clearly the algebraic processes involved as well as the use of the basic trigonometric relations. Exercises occur at short intervals and are carefully selected.
Lastly, to our friends and administrators, who, by virtue of their influence on the authors, have been our source of inspiration, support and encouragement, we heartfully extend our thanks." -
MA. CARMELITA A. BATACAN,
LORINA G. SALAMAT, ANTONINA C. STA. MARIA