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Draw a horizontal base line. COMPOUND ANGLE FORMULAE: sin(A + B). Label this angle A. Add a second line at an angle to the first. COMPOUND ANGLE FORMULAE: sin(A + B). A. Label this angle B. Add a third line above the second. COMPOUND ANGLE FORMULAE: sin(A + B). B. A.
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Draw a horizontal base line. COMPOUND ANGLE FORMULAE: sin(A + B)
Label this angle A Add a second line at an angle to the first. COMPOUND ANGLE FORMULAE: sin(A + B) A
Label this angle B Add a third line above the second. COMPOUND ANGLE FORMULAE: sin(A + B) B A
COMPOUND ANGLE FORMULAE: sin(A + B) I’m off, so keep up!!! S T Q Call this point O P !! B A O R P
COMPOUND ANGLE FORMULAE: sin(A + B) S Time to get serious!! T Q B A O R P
COMPOUND ANGLE FORMULAE: sin(A + B) S Can you identify all the equal angles? T Q B A O R P
Those marked equal (90 – A)o COMPOUND ANGLE FORMULAE: sin(A + B) S T Q B A O R P
COMPOUND ANGLE FORMULAE: sin(A + B) S These angles are equal to angle A A 90 – A T Q B A A O R P
S S 90 – A 90 – A A A T Q T Q B A O R P B A O R P COMPOUND ANGLE FORMULAE: sin(A + B)
sin(A + B) COMPOUND ANGLE FORMULAE: sin(A + B) S 90 – A A T Q B A O R P
COMPOUND ANGLE FORMULAE: sin(A + B) sin(A + B) S we can rewrite this 90 – A A T as.. Q B A O R P from this
COMPOUND ANGLE FORMULAE: sin(A + B) Continuing…. Rearrange… S sin(A + B) 90 – A A T Q B A O R P
sin(A + B) B A COMPOUND ANGLE FORMULAE: sin(A + B) In conclusion: