If `0ltthetaltpi,` prove that `cot\ theta/2ge1+cot theta`

Prove that 1+cot^(2) theta = cosec^(2) theta

Prove that 1+cot^(2) theta = cosec^(2) theta

If theta+phi=45^@ , prove that (cot theta-1) (cot phi-1) =2 .

The base of a triangle is divided into three equal parts. If theta_(1), theta_(2), theta_(3) be thw angles subtended by these parts at the vertex, then prove that (cot theta_(1) +cot theta_(2) ) (cot theta_(2)+ cot theta_(3))=4 cosec ^(2) theta _(2)

The base of a triangle is divided into three equal parts. If theta_(1), theta_(2), theta_(3) be the angles subtended by these parts at the vertex, then prove that (cot theta_(1) +cot theta_(2) ) (cot theta_(2)+ cot theta_(3))=4 cosec ^(2) theta _(2)

The base of a triangle is divided into three equal parts. If theta_(1), theta_(2), theta_(3) be thw angles subtended by these parts at the vertex, then prove that (cot theta_(1) +cot theta_(2) ) (cot theta_(2)+ cot theta_(3))=4 cosec ^(2) theta _(2)

If sin(theta+alpha)=n sin(theta-alpha) , prove that cot theta=(n-1)/(n+1) cot alpha .

Prove that : cot theta-tan theta=2cot2 theta

Prove that cot theta-tan theta=2cot 2 theta .

Prove that cot theta-tan theta=2cot 2 theta .