COMPOUND ANGLE FORMULAE: sin(A + B)

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Presentation transcript:

COMPOUND ANGLE FORMULAE: sin(A + B) Draw a horizontal base line.

COMPOUND ANGLE FORMULAE: sin(A + B) Add a second line at an angle to the first. Label this angle A A

COMPOUND ANGLE FORMULAE: sin(A + B) Label this angle B Add a third line above the second. 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) Time to get serious!! T Q B A O R P

COMPOUND ANGLE FORMULAE: sin(A + B) Can you identify all the equal angles? T Q B A O R P

COMPOUND ANGLE FORMULAE: sin(A + B) Those marked equal (90 – A)o T Q B A O R P

COMPOUND ANGLE FORMULAE: sin(A + B) These angles are equal to angle A A 90 – A T Q B A A O R P

COMPOUND ANGLE FORMULAE: sin(A + B) T S R Q P O 90 – A B A T S R Q P O 90 – A

COMPOUND ANGLE FORMULAE: sin(A + B) T Q B A O R P

COMPOUND ANGLE FORMULAE: sin(A + B) we can rewrite this 90 – A A as.. T 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

COMPOUND ANGLE FORMULAE: sin(A + B) In conclusion: sin(A + B)

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