If a + 2 b cos x ) ( a - 2 b cos y = a 2 - b 2 , where a > b > 0 , then d x d y at π 4 , π 4 is:

Question

If a + 2 b cos x ) ( a - 2 b cos y = a 2 - b 2 , where a &#62; b &#62; 0 , then d x d y at &#960; 4 , &#960; 4 is:

Aicharya · Accepted Answer

a + 2 b cos x a &#8722; 2 b cos y = a 2 &#8722; b 2 a &#8722; 2 b cos y &#8722; 2 b sin x d x d y + 2 b sin y a + 2 b cos x = 0 d x d y = 2 b sin y a + 2 b cos x 2 b sin x a &#8722; 2 b cos y = sin y a + 2 b cos x sin x a &#8722; 2 b cos y d x d y &#960; 4 , &#960; 4 = a + b a &#8722; b .

If a + 2 b cos x ) ( a - 2 b cos y = a 2 - b 2 , where a > b > 0 , then d x d y at π 4 , π…

Solution

If a + 2 b cos x ) ( a - 2 b cos y = a 2 - b 2 , where a &#62; b &#62; 0 , then d x d y at &#960; 4 , &#960;…

Solution

If a + 2 b cos x ) ( a - 2 b cos y = a 2 - b 2 , where a > b > 0 , then d x d y at π 4 , π…