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Prove that: tan(pi/4+theta)+tan(pi/4-the...

Prove that: `tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta` .

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`tan(π/4+theta)−tan(π/4−theta)`
`=(tan(π/4)+tantheta)/(1−tan(π/4)tantheta)−(tan(π/4)−tantheta)/(1+tan(π/4)tantheta)`
`=(1+tantheta)/(1−tantheta)−(1−tantheta)/(1+tantheta)`
`=((1+tantheta)^2−(1−tantheta)^2)/(1−tan^2theta)`
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