Asked by Muneer
Evaluate each expression:
a) ( tan π/12 + tan 7π/4 ) / ( 1 - tan π/12 x tan 7π/4)
b) cos π/4 cos π/12 + sin π/4 x sin π/12
c) sin 7π/5 cos π/15 - cos 7π/5 sin π/15
a) ( tan π/12 + tan 7π/4 ) / ( 1 - tan π/12 x tan 7π/4)
b) cos π/4 cos π/12 + sin π/4 x sin π/12
c) sin 7π/5 cos π/15 - cos 7π/5 sin π/15
Answers
Answered by
oobleck
these are just applications of the addition formulas:
tan(A+B) = (tanA+tanB)/(1 - tanA tanB)
cos(A-B) = cosA cosB + sinA sinB
sin(A-B) = sinA cosB - cosA sinB
tan(A+B) = (tanA+tanB)/(1 - tanA tanB)
cos(A-B) = cosA cosB + sinA sinB
sin(A-B) = sinA cosB - cosA sinB
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