Question

if sintheta+costheta=√2 then prove that tantheta+cottheta=2
I am sending the solution please tell if this is correct or not

Answer 1

Answer:it is absolutely correct bro don't worry.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

given

$sin \theta + cos \theta = \sqrt{2} \\ \\ ( {sin \theta + cos \theta)}^{2} = 2 \\ \\ 1 + 2sin \theta cos \theta = 2 \\ \\ sin \theta \cos \theta = \frac{1}{2}$

Now

$tan \theta + cot \theta \\ \\ = \frac{1}{sin \theta cos \theta} \\ \\ = \frac{1}{ \frac{1}{2} } \\ \\ =2$

Its a simple way to prove your problem