1.

Sin 15 cos 75+cos²15​

Answer»

Step-by-step EXPLANATION:

cos(90-A) = sin(A)

cos 75 = cos (90-15) = sin 15

sin15 \: cos75 +  {cos}^{2} 15 \:  = sin15 \: sin15 \:  +  {cos}^{2} 15 =  {sin}^{2} 15 \:  +  {cos}^{2} 15 = <klux>1</klux>

therefore sin 15 cos 75+cos²15 = 1



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