Math, asked by himlu, 1 year ago

sin 43+cos 47+cos 47+sin 43=1.solve this without using tringnometric tables

Answers

Answered by poojan
4
LHS:     sin43+cos47+cos47+sin 43
          = 2sin43+2cos47
          = 2(sin43+cos47)

If A+B (43+47) = 90, then α=45
          = 2 (sin²45)
          = 2 (1/√2)²
          = 2×1/2
          = 1 ----------- RHS

therefore, Sin 43+cos 47+cos 47+sin 43=1
Hence it is proved.

himlu: is this right answer
himlu: if yes so thanks
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