Question

prove that sin55+cos25=cos35+sin65
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Answer 1

Step-by-step explanation:

Here, We can use Complementary angles property,

Since, Sin(90-theta) = Cos theta

and Cos (90-theta) = Sin (theta)

sin (90-55) = Cos 35,

Sin (90-55) + Cos 25

= Cos 35 + Sin (90-65)

Similarly, Sin (90-65) = Cos 25,

so, Cos 35 + Cos 25 = Cos 35 + Cos 25,

therefore Cos 60 = Cos 60.

As LHS = RHS,

Hence proved

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Answer 2

Answer:

cos(90-55)+sin(90-25)

cos35+sin65

hence proved