The value of cos 2 θ in terms of cot θ is

Question

The value of cos 2 θ in terms of cot θ is (A) ( cot 2 θ+1/ cot 2 θ-1) (B) -(1+ cot 2 θ/ cot 2 θ-1) (C) ( cot 2 θ-1/ cot 2 θ+1) (D) (1- cot 2 θ/1+ cot 2 θ)

Tardigrade Admin · Accepted Answer

Use cos 2 θ=(1- tan 2 θ/1+ tan 2 θ)

Q. The value of $cos 2 θ$ in terms of $cot θ$ is

$\frac{c o t ^{2} θ + 1}{c o t ^{2} θ - 1}$

$- \frac{1 + c o t ^{2} θ}{c o t ^{2} θ - 1}$

$\frac{c o t ^{2} θ - 1}{c o t ^{2} θ + 1}$

$\frac{1 - c o t ^{2} θ}{1 + c o t ^{2} θ}$

Use $cos 2 θ = \frac{1 - t a n ^{2} θ}{1 + t a n ^{2} θ}$

Q. The value of cos2θ in terms of cotθ is

cot2θ−1cot2θ+1​

−cot2θ−11+cot2θ​

cot2θ+1cot2θ−1​

1+cot2θ1−cot2θ​

Use cos2θ=1+tan2θ1−tan2θ​

Q. The value of $cos 2 θ$ in terms of $cot θ$ is

$\frac{c o t ^{2} θ + 1}{c o t ^{2} θ - 1}$

$- \frac{1 + c o t ^{2} θ}{c o t ^{2} θ - 1}$

$\frac{c o t ^{2} θ - 1}{c o t ^{2} θ + 1}$

$\frac{1 - c o t ^{2} θ}{1 + c o t ^{2} θ}$

Use $cos 2 θ = \frac{1 - t a n ^{2} θ}{1 + t a n ^{2} θ}$