Question

Evaluate. Sin25°cos65°+ cos25° sim 65°​

Answer 1

Answer:

Sin80

Step-by-step explanation:

SinACosB+CosASinB is the formula of Sin(A+B) so we would get the answer as Sin(25+65)=Sin80

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Answer 2

Step-by-step explanation:

$\huge\fbox\pink{A}\fbox\blue{n}\fbox\purple{S}\fbox\green{w}\fbox\red{E}\fbox\orange{r}$

$\\ {\bold{\sf{sin25° \: cos65°+cos25° \: cos65°}}}$

${\bold{\sf{sin25°{cos(90°-25°)}+cos25°{sin(90°-25°)}}}}$

${\bold{\sf{(sin25°)(sin25°) \: + \: (cos25°)(cos25°)}}}$

${\bold{\sf{sin²25° \: + \: cos²25°}}}$

${\bold{\sf{\fbox{\red{sin² + cos² = 1}}}}}$

${\bold{\sf{→ \: 1}}}$