![sin(25) \cos(65 ) + \cos( 25 ) \sin(65) sin(25) \cos(65 ) + \cos( 25 ) \sin(65)](https://tex.z-dn.net/?f=+sin%2825%29++%5Ccos%2865+%29++%2B++%5Ccos%28+25+%29+%5Csin%2865%29++)
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1
Answer:
1
Step-by-step explanation:
Its an identity (called Angle Sum Identity):
sin(a+b) = sin(a)cos(b)+cos(a)sin(b)
so after using it on the given question we get:
sin(25)cos(65)+cos(25)sin(65)
= sin(25+65)
= sin(90)
= 1
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