Math, asked by murugan21283, 8 months ago

show that 2power5cos6theta=cos6theta+6cos4theta+15cos2theta+10

Answers

Answered by hanshu123444

0

Step-by-step explanation:

cos6θ+6cos4θ+15cos2θ+10

=(cos6θ+cos4θ)+5(cos4θ+cos2θ)+10(cos2θ+1)

=(2cos(26θ+4θ)cos(26θ−4θ))+5(2cos(24θ+2θ)cos(24θ−2θ))+10(2cos2θ)

=2cos5θcosθ+10cos3θcosθ+20cos2θ

=2(cos5θ+5cos3θ+10cosθ)cosθ

∴cos5θ+5cos3θ+10cosθcos6θ+6cos4θ+15cos2θ+10=2cosθ

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