sin³+cos³=(sin+cos)(1-sin.cos)
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sin^3 + cos^3
We know, a^3 + b^3 = (a + b)(a^2 - ab + b^2)
sin^3 + cos^3
(sin + cos)(sin^2 - sin.cos + cos^2)
We know, sin^2 + cos^2 = 1
(sin + cos)(1 - sin.cos)
Hence, proved
i hope this will help you
(-:
We know, a^3 + b^3 = (a + b)(a^2 - ab + b^2)
sin^3 + cos^3
(sin + cos)(sin^2 - sin.cos + cos^2)
We know, sin^2 + cos^2 = 1
(sin + cos)(1 - sin.cos)
Hence, proved
i hope this will help you
(-:
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