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BodhiAI
Nov. 9, 2019

Trignometric Ratio of Associated Angles:

Multiple & Submultiple Angles

Trigonometrical Ratios of Compound Angles 

An angle made up by the sum or difference of two or more angles is called a compound angle. Remember the following formulae regarding compound angles.

A. Trigonometrical Ratios of Sum & Difference

a) sin (A+B) = sin A cosB + cosA sinB

b) sin (A-B) = sinA cosB - cosA sinB

c) cos (A+B) = cosA cosB - sinA sinB

d) cos(A-B) = cosA cosB + sinA sinB

e) tan (A+B)

f)

where A, B and

g)

h) where A, B and

i)

j)







B. Trigonometrical Ratios Involving Double Angles & Half Angles

a)

b)

or

c)

or

or

or

d) where

e) where

f) where

g) where

h) where