Using cos2A−sin2B=cos(A+B)cos(A−B):
cos248°−sin212°=cos60°cos36°=21cos36°.
Using sin2A−sin2B=sin(A+B)sin(A−B):
sin224°−sin26°=sin30°sin18°=21sin18°.
Ratio =sin18°cos36°=(5−1)/4(1+5)/4=4(1+5)2=46+25=23+5.
α=3, β=1. α+β=4.
If sin224∘−sin26∘cos248∘−sin212∘=2α+β5, where α,β∈N, then α+β is equal to _____
Held on 22 Jan 2026 · Verified 6 Jul 2026.
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