prove : sin^4 a + sin^2 a . cos a = sin^3 a
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Answer:
Let us consider the problem:
LHS=sin4A
RHS=4sinAcos
3
A−4sin
3
AcosA
Let the consider L.H.S =sin4A
⇒ 2sin2Acos2A
⇒ 2[2sinAcos2A][cos
2
A−sin2A]
⇒ 4[sincos
3
A−sin
3
AcosA]
=RHS
Step-by-step explanation:
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