Pls tell how that step is coming cot theta step please solve step by step example 14 14 - Maths -

Question

Pls tell how that step is coming cot theta step please solve step
by step example 14

14   If   tan 2 θ   =   1  
–   a 2 ,   prove   that   sec θ
  +   tan 3 θ   cosec θ   = 2  
–   a 2 3 2
Also, find the values of a for which the above result holds true

Sneha Apar · Accepted Answer

Pls tell how that step is coming cot theta step please solve step by step example 14 14 . If tan 2 θ = 1 – a 2 , prove that sec θ + tan 3 θ cosec θ = 2 – a 2 3 2 . . Also, find the values of a for which the above result holds true.

Pls tell how that step is coming cot theta step please solve step by step example 14

^{$14 . If \tan^{2} θ = 1 - a^{2}, prove that \sec θ + \tan^{3} θ cosec θ = (2 - a^{2}) \frac{3}{2} .$}.
Also, find the values of a for which the above result holds true.