Question #04c24

1 Answer
Nov 5, 2017

LHS=tan(θ/2) + cot(θ/2)

=tan(θ/2) + 1/tan(θ/2)

=(tan^2(θ/2) + 1)/tan(θ/2)

=(2(1+tan^2(θ/2) ))/(2tan(θ/2))

=2/((2tan(theta/2))/(1+tan^2(θ/2) ))

=2/(sin(2*1/2*theta))

= 2cscθ=RHS

Formula used

(2tan(x))/(1+tan^2(x))=sin2x