sin2A sin2B = sin(A B)sin(A+B) taking LHS sin224 sin26= sin18sin30=(sin18)/2 sin18 = (51/2 1)/4 So sin^24 sin^6 = (5^1/2 1)/8 ...

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Factorization Method Form to Remove Indeterminate Form

sin 2 24∘-sin...

Question

Sin²24° - Sin²6°

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Solution

sin²A - sin²B = sin(A-B)sin(A+B)

taking LHS

sin²24 - sin²6=

sin18sin30=(sin18)/2

sin18 = (5^1/2-1)/4

So sin^24 -sin^6 =

(5^1/2 -1)/8

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