Answer:
1/32v²sin2θ
Step-by-step explanation:
Given the expression r(theta) = 1/16v²sinθcosθ
According to double angle of trigonometry identity;
Sin2θ = sin(θ+θ)
Sin2θ = sinθcosθ + cosθsinθ
Sin2θ = 2sinθcosθ
sinθcosθ = sin2θ/2 ... **
Substituting equation ** into the question
1/16v²sinθcosθ = 1/16v²(sin2θ/2)
1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)
1/16v²sinθcosθ = 1/32v²sin2θ
Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ
Answer:
Step-by-step explanation:
Here you go mate
step 1
x^2+5x-14=0 equation/Question
step 2
x^2+5x-14=0 factor by setting them equal to zero
(x-2)(x+7)=0
answer
x=2 or x=-7
Answer: 2(x-7)
Step-by-step explanation: 2x−14
2x−14
=2(x−7)