Articles by "Trigonometry"
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Trigonometry Unit Circle




ASTC Diagram



It is an exclusive e-Learning Blog that has been dedicated to help keen learn students to boost their knowledge in different subjects.

Trigonometrical ratios of associated and compound angles

01. (i) sin (A+B) = sinA cosB + cosA sinB
(ii) sin (A-B) = sinA cosB - cosA sinB

02. (i) cos (A+B) = cosA cosB - sinA sinB
(ii) cos (A-B) = cosA cosB + sinA sinB

03. (i) tan (A+B) = (tanA + tanB) / (1 - tanA tanB)
(ii) tan (A-B) = (tanA - tanB) / (1 + tanA tanB)

04. (i) cot (A+B) = (cotA cotB - 1) / (cotB + cotA)
(ii) cot (A-B) = (cotA cotB + 1) / (cotB - cotA)

05. 2 sinA cosB = sin (A+B) + sin (A-B)
06. 2 cosA sinB = sin (A+B) - sin (A-B)
07. 2 sinA sinB = cos (A-B) - cos (A+B)
08. 2 cosA cosB = cos (A+B) + cos (A-B)

09. sinC + sinD = 2 sin(C+D)/2 cos (C-D)/2
09. sinC - sinD = 2 cos(C+D)/2 sin (C-D)/2


Quick navigation: Basic Rules of Trigonometry


Trigonometric Ratios



It is an exclusive e-Learning Blog that has been dedicated to help keen learn students to boost their knowledge in different subjects.

Some common angles: Trigonometry

The following table shows the conversions for some common angles:


Reciprocal Identities:


Quotient Identities:


Pythagorean Identities:


Co-Function Identities:


Even-Odd Identities:


Sum-Difference Formulas:


Double Angle Formulas:


Sum-to-Product Formulas:


Product-to-Sum Formulas:


Half Angle Formulas:





To know more, please read the below image carefully: