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Maths Problem

DavidDaly · 2014-05-04 21:31:48

Make t the subject of equation Cos θ=1-t^2/1+t^2

04-05-2014 9:31pm

#1

DavidDaly

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Make t the subject of equation Cos θ=1-t^2/1+t^2

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Comments

#2 04-05-2014 11:22pm

Yakuza

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I take it you want to express t in terms of θ.
Start by multiplying both sides of the equation by 1+t², you get:
(1 + t²)Cosθ = 1-t²
Cosθ + t²Cosθ = 1-t²
Bring the t terms to one side, and everything else to the other:
t² + t²Cosθ = 1-Cosθ
Factor out the common t²
t²(1+Cosθ) = 1-Cosθ
Can you finish it from here?

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#3 06-05-2014 1:33pm

ZorbaTehZ

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The standard/usual way for solving this is to just draw a right angled triangle with one of the angles as θ, then get an expression for sin θ, and substitute it back in.

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