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Bert261 Bert261
  • 23-07-2014
  • Mathematics
Answered

Simplify the expression by using a double-angle formula or a half-angle formula.

7cos^2(theta/9)-7sin^2(theta/9)

sin(theta/6)cos(theta/6)

Verified Answer :

luana
luana luana
  • 24-07-2014

Double-angle formulas:
2sinФcosФ=sin(2Ф) /:2
sinФcosФ=1/2sin(2Ф)

sin(Ф/6)cos(Ф/6)=1/2sin(2Ф/6)=1/2sin(Ф/3)

cos²Ф-sin²Ф=cos(2Ф)/7
7cos²Ф-7sin²Ф=7cos(2Ф)

7cos²(Ф/9)-7sin²(Ф/9)=7cos(2Ф/9)=7cos(2Ф/9)

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