Trigonometry
, Table of contents
Session 01 03 Session 04 80
Trigonometric Identities 04 Multiple Angle Formulae 90
Angle 13
Circular system of measurement 16
Session 05 102
Relation between Degrees and 17
Radians Continued Product of sine and 115
cosine series
Trigonometric Ratios as Circular 18
Functions Sine series 122
Trigonometric Ratios of Allied angles 22
Session 02 27 Session 06 124
Trigonometric Ratios for any Trigonometric identities with 128
31
angle θ∈𝑅 three angles
Trigonometric ratios for angles 34
Value of Trigonometric ratios 39
Series based Questions 50 Session 07 142
Domain, Range & Period of 143
Session 03 56 trigonometric functions
Compound angle 57 Transformation of graph 151
Product → Sum/ Difference 72 Boundedness of trigonometric 154
Sum/ Difference → Product 73 function
, Session 1
Introduction to Trigonometric
function
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, Trigonometric Identities
• Study of measurement of three sides surrounded is Trigonometry
𝐻
𝑃 cosec 𝜃 =
• sin 𝜃 =
𝐻
𝑃
𝐵 𝐻 𝐻
cos 𝜃 = sec 𝜃 =
𝐻 𝐵 𝑃
𝑃 𝐵
tan 𝜃 = cot 𝜃 = 𝜃
𝐵 𝑃
𝑃 2 𝐵 2 𝐵
Pythagoras theorem: 𝑃2 + 𝐵2 = 𝐻 2 ⇒ + =1
𝐻 𝐻
sin2 𝜃 + cos 2 𝜃 = 1 1 + cot2 𝜃 = cosec2 𝜃 1 + tan2 𝜃 = sec 2 𝜃
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