Question

if cos theta=2x/1+x²,then then tan theta.
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Answer 1

Step-by-step explanation:

cosθ = 2x/1+x²

Then, sinθ = (1- cos²θ)½ = (1 - 4x²/(1+x⁴+2x²) )½

= (x⁴-2x²+1/x⁴+2x² +1)½ = (1-x²/1+x²)

Therefore, tanθ = sinθ/cosθ = 1-x²/2x