Question

(ü)) sin 25° cos 65° + cos 25° sin 65°
evaluate​

Answer 1

Answer:

sin 25° cos 65° + cos 25° sin 65°

= sin 25° sin(95 degrees - 65 degrees) + cos 25 degrees cos(95 degrees - 65 degrees)

= sin 25 degrees sin 25 degrees + cos 25 degree cos 25 degrees

= sin square 25 degrees + cos square 25 degrees

= 1

Step-by-step explanation:

degrees means" ° "

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Answer 2

Step-by-step explanation:

sin 25° cos 65°+ cos 25° sin 65°

therefore,

sin(A+B)=sinA×cosB+cosA×sinB

therefore,

A=25° B=65°

sin(A+B)=sin(25+65)

=sin(90)

=1