Mark M. answered • 08/17/15
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Mathematics Teacher - NCLB Highly Qualified
7π/12 = 4π/12 + 3π/12
7π/12 = π/3 + π/4
sin (7π/12) = sin (π/3 + π/4) Now use the addition formula for sine.
Mark M.
Certain values of the sine function are known, e.g., π/3 and π/4.
The goal is to express 7π/12 as a sum or difference of these known values so that the sum/difference formulas can be used.
Experience (and knowing how to reduce fractions) informs that 4π/12 is equal to π/3 and 3π/12 is equal to π/4.
OK?
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08/17/15
Amber M.
08/17/15