Question

$If\:m=cos\theta-sin\theta\:and\\n=cos\theta+sin\theta,\:then\:show\:that,\\\sqrt{\frac{m}{n}}+\sqrt{\frac{n}{m}}=\frac{2}{\sqrt{1-tan^2\theta}}$

Answer 1

HEY THERE!!!



In above Attachment,there two Answers

Given;-

m=Cos∅-Sin∅

n=Cos∅+Sin∅


Using Formula of Trigonometry Identity;

Sin²∅=1-Cos²∅

tan²∅=Sin²∅/Cos²∅


cos²∅/Cos²∅=1

Hence, It's Proved!!!

Cheers!!

Answer 2

Step-by-step explanation:

HEY THERE!!!

In above Attachment,there two Answers

Given;-

m=Cos∅-Sin∅

n=Cos∅+Sin∅

Using Formula of Trigonometry Identity;

Sin²∅=1-Cos²∅

tan²∅=Sin²∅/Cos²∅

cos²∅/Cos²∅=1

Hence, It's Proved!!!

Cheers!!