evaluate:

sin25*cos65*+cos25*sin65*

  sin25 * cos65 + cos25 * sin65

= sin(90-65) * cos65 + cos(90-65) * sin65

= cos65 * cos65 + sin65 * sin65   

= cos265 + sin265    

= 1

  • 17

sinAcosB+cosAsinB=sin(A+B)

so, your answer is sin90deg.=1

  • 3

sin25 * cos65 + cos25 * sin65

sin(90-65) * cos65 + cos(93-65) * sin65

cos65 * cos65 + sin65 * sin65

sin265 + cos265

1

  • 4
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