If c o s 3 θ = α c o s θ + β c o s 3 θ , then ( α , β ) = Options: A . &nbsp (3,4) B . &nbsp (4,3) C . &nbsp (-3,4) D . &nbsp (3,-4)

If cos3θ = αcosθ+βcos3θ, then (α,β)

Question

If $c o s 3 θ$ = $α c o s θ + β c o s^{3} θ$ , then $(α, β)$ =

Options:

A . (3,4)

B . (4,3)

C . (-3,4)

D . (3,-4)

Answer: Option C
:
C

Given that $c o s 3 θ = α c o s θ + β c o s^{3} θ$

But $c o s 3 θ = 4 c o s^{3} θ - 3 c o s θ$ $\Rightarrow$ $(α, β)$ = (-3, 4).

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