If y α = 2 t a n α + c o t α 1 + t a n 2 α + 1 s i n 2 α ,   α ∈ 3 π 4 , π , then d y d α at α = 5 π 6 is

Question

If y &#945; = 2 t a n &#945; + c o t &#945; 1 + t a n 2 &#945; + 1 s i n 2 &#945; , &#160; &#945; &#8712; 3 &#960; 4 , &#960; , then d y d &#945; at &#945; = 5 &#960; 6 is

Aicharya · Accepted Answer

Simplifying using Trigonometric Identity, we get,

$y (α) = |1 + \cot (α)|$

or, $y (α) = - (1 + \cot (α))$ , as $α \in (\frac{3 π}{4}, π)$

Hence, $\frac{d y}{d α} = \cos e c^{2} α$

${∴ \frac{d y}{d α}}_{α = \frac{5 π}{6}} = 4$

If y α = 2 t a n α + c o t α 1 + t a n 2 α + 1 s i n 2 α ,   α ∈ 3…

Solution

If y &#945; = 2 t a n &#945; + c o t &#945; 1 + t a n 2 &#945; + 1 s i n 2 &#945; , &#160; &#945; &#8712; 3…

Solution

If y α = 2 t a n α + c o t α 1 + t a n 2 α + 1 s i n 2 α , α ∈ 3…