If `t a n(pi/4+theta/2)=t a n^3(pi/4+alpha/2),` prove that `sintheta-(3sinalpha+s in^2alpha)/(1+...

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If `tan(pi//4+theta)+\"\"tan(pi//4-theta)=lambdasec2theta,t h e m` `3` (b) `4` (c) `1` (d)`2` If `tan(pi//4+theta)+\"\"tan(pi//4-theta)=lambdasec2theta,t h e m` `3` (b) `4` (c) `1` (d)`2`
If tan−1(e^ia)=θ+iϕ and α/=π/2,prove that(i)2ϕ =logtan(π/4+α/2)(ii)θ=nπ/2+π/4 If tan−1(e^ia)=θ+iϕ and α/=π/2,prove that(i)2ϕ =logtan(π/4+α/2)(ii)θ=nπ/2+π/4
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If `(3pi)/4 lt alphaltpi`, then simplify the expression `sqrt(2cotalpha+1/(sin^2alpha))` If `(3pi)/4 lt alphaltpi`, then simplify the expression `sqrt(2cotalpha+1/(sin^2alpha))`
If `tan(pi/4+theta)+tan(pi/4-theta)=a `,then `t a n^2(pi/4+theta)+tan^2(pi/4-theta)=` If `tan(pi/4+theta)+tan(pi/4-theta)=a `,then `t a n^2(pi/4+theta)+tan^2(pi/4-theta)=`
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If tan(θ+iΦ) =tanα+isecα, prove that 2θ=nπ+π/2+α If tan(θ+iΦ) =tanα+isecα, prove that 2θ=nπ+π/2+α