SL Loney Trigonometry Pdf

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Table of Contents

Contents in SL Loney Trigonometry Pdf

In this pdf book, There are 2 parts with a total of 33 chapters. These names are the following:

Part 1: Plane Trigonometry

1. Measurement of angles; Sexagesimal and Centesimal Measure Circular or Radian, Measure
2. Trigonometrical ratios for angles less than a right angle Values for angles of 45°, 30°, 60°, 0° and 90°
3. Simple problems with Heights and Distances
4. Applications of algebraic signs to Trigonometry Tracing the changes in the ratios
5. Trigonometrical ratios of angles of any size and sign Ratios for -0,90°-0,90° +………
6. General expressions for all angles having a given trigonometrical ratio
7. Trigonometrical ratios of the sum and difference of two angles Product Formulae
8. Trigonometrical ratios of multiple and submultiple angles Explanation of ambiguities Angles of 18°, 36°, and 9°
9. Identities and trigonometrical equations
10. Logarithms Tables of logarithms
11. The principle of Proportional Parts
12. Relations between the Side and Trigonometrical ratios of the Angles of a triangle
13 Solution of triangles Given two sides and the included angle Ambiguous case
13. Heights and Distances
14. Properties of a triangle The circles connected with a given triangle Orthocentre and Pedal triangle Centroid and Medians
15. Quadrilaterals Regular Polygons
16. Trigonometrical ratios of sin 0 <0<tan 0 small angles Area of a circle Dip of the horizon
17. Inverse circular functions
18. Summation of some simple trigonometrical series
19. Elimination
20. Projections

Part 2: Analytical Trigonometry

1. Exponential and Logarithmic Series, Logarithms to base e, Two important limits
2. Complex quantities, De Moivre’s Theorem, Binomial Theorem for complex quantities
3. Expansions of sin n0, cos n0, and tan n0, Expansions of sin a and cos and in a series of ascending powers of a Sines and Cosines of small angles, Approximation to the root of an equation Evaluation of indeterminate quantities
4. Expansions of cos”0 and sin”0 in cosines or sines of multiples of, Expansions of sin n0 and cos n0 in series of descending and ascending powers of sin 0 and cos 0.
5. Exponential Series for Complex Quantities Circular functions of complex angles, Euler’s exponential values, Hyperbolic Functions, Inverse Circular and Hyperbolic Functions
6. Logarithms of complex quantities. Value of a when a and c are complex
7. Gregory’s Series, Calculation of the value of π
8. Summation of Series, Expansions in Series
9. Factors of 2-2 cos n +1, Factors of “-1 and “+1, Resolution of sin 0 and cos 0 into factors, sinh 0 and cosh 0 in products.
10. Principle of Proportional Parts
11. Errors of observation
12. Miscellaneous Propositions, Solution of a Cubic Equation, Maximum and Minimum Values, Geometrical representation of complex quantities Miscellaneous Examples

Important Questions of Trigonometry

What is the value of cos(30°)?
a) 0
b) 1
c) √3/2
d) 0.866
Ans. d) 0.866

If csc(x) = 2, what is the value of x in degrees?
a) 30°
b) 45°
c) 60°
d) 30°
Ans. c) 60°

What is the reciprocal of the cosecant function?
a) Sine (sin)
b) Cosine (cos)
c) Tangent (tan)
d) Cotangent (cot)
Ans. a) Sine (sin)

If sin(x) = 0.7, what is the value of x in degrees?
a) 42°
b) 53.13°
c) 60°
d) 75.96°
Ans. b) 53.13°

In a right triangle, which side is always adjacent to the right angle?
a) Opposite side
b) Hypotenuse
c) None of the sides
d) Adjacent side
Ans. d) Adjacent side

What is the value of tan(45°)?
a) 0
b) 1
c) √2
d) 2
Ans. b) 1

If sin(x) = 0.5 and cos(y) = 0.8, what is the value of sin(x + y)?
a) 0.3
b) 0.6
c) 0.9
d) 0.4
Ans. b) 0.6

What is the value of cot(60°)?
a) 0
b) 1
c) √3
d) 0.577
Ans. c) √3

In a right triangle, which trigonometric function represents the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle?
a) Sine (sin)
b) Cosine (cos)
c) Tangent (tan)
d) Cosecant (csc)
Ans. c) Tangent (tan)

If cos(x) = 0.3, what is the value of x in degrees?
a) 72.54°
b) 53.13°
c) 60°
d) 75.96°
Ans. a) 72.54°

Important MCQs of Trignometry

What is the value of sec(45°)?
a) 0
b) 1
c) √2
d) 2
Ans. c) √2

If tan(x) = 0.4 and sin(y) = 0.6, what is the value of tan(x – y)?
a) 0.833
b) 0.5
c) 0.667
d) 0.2
Ans. c) 0.667

What is the value of cot(30°)?
a) 0
b) 1
c) √3
d) 1/√3
Ans. c) √3

In a right triangle, what is the Pythagorean theorem?
a) a^2 + b^2 = c^2
b) a^2 = b^2 + c^2
c) a^2 – b^2 = c^2
d) a + b = c
Ans. a) a^2 + b^2 = c^2

If csc(x) = 1, what is the value of x in degrees?
a) 0°
b) 90°
c) 45°
d) 180°
Ans. b) 90°

What is the value of tan(60°)?
a) 0
b) 1
c) √3
d) 1/√3
Ans. c) √3

If cos(x) = 0.6 and sin(y) = 0.8, what is the value of sin(x – y)?
a) 0.1
b) 0.4
c) 0.3
d) 0.48
Ans. d) 0.48

What is the value of sec(30°)?
a) 0
b) 1
c) √3
d) 2
Ans. d) 2

If cot(x) = 0.75, what is the value of x in degrees?
a) 36.87°
b) 53.13°
c) 48.59°
d) 72.54°
Ans. a) 36.87°

In a right triangle, what is the formula for finding the length of the hypotenuse (c) given the lengths of the other two sides (a and b)?
a) c = a – b
b) c = a + b
c) c = √(a^2 + b^2)
d) c = √(a – b)
Ans. c) c = √(a^2 + b^2)

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