If cos(theta) = 0.2

Question

the find the value of cos(pie - theta) cos(pie + theta) cos(-theta)

Answer 1

Given : cos(θ) = 0.2.

Find : cos(π - θ) * cos(π + θ) * cos(- θ).

cos(π - θ) * cos(π + θ) * cos(- θ).

= - cos(θ) * (- cos(θ)) * cos(θ)

= cos³ (θ)

= (0.2)³

= 0.008.

Therefore, cos(π - θ) * cos(π + θ) * cos(- θ) = 0.008.