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prove that

sin^2 24 - sin^2 6= (5^1/2 - 1 )/8

5 years ago


Answers : (3)


sin224 - sin26 = (51/2-1)/8

we have to prove this

sin2A - sin2B = sin(A-B)sin(A+B)

taking LHS

sin224 - sin26= sin18sin30=(sin18)/2

sin18 = (51/2-1)/4

so LHS becomes

          = (51/2-1)/8 =RHS

hence proved

5 years ago

Dear student,

We know that

sin(A + B)sin(A - B) = sin^(2)A - sin^2(2)B



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Sagar Singh

B.Tech, IIT Delhi

5 years ago

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5 years ago

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