Question

Prove that
(sin 8 0 - cos 8 )=(sin ²0 - cos²0)
(1-2 sino coso).​

Answer 1

Step-by-step explanation:

Sin A -cosA = (sin²A+cos²A)(1-2sinA cosA). [(a²-b²)=(a-b)(a+b)]

(sinA-cosA)=(sinA-cosA)(sinA+cosA)(1-2sinAcosA)

1=(sinA+cosA)(1-2sinA cosA)

1=sinA-2sin²AcosA+cosA-2sinAcos²A

1=1

henced proved.

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