Question

tanA+cotA=2 then find the value of tan²A+cot²A..

Answer 1

tan^2a+cot^a = also 2

Answer 2

Answer:

Step-by-step explanation:

Given: It is given that $tanA+cotA=2$

To find: The value of $tan^2A+cot^2A$

Solution:

It is given that $tanA+cotA=2$, then

Squaring on both the sides, we have

$(tanA+cotA)^2=4$

$tan^2A+cot^2A+2tanAcotA=4$

Now, because $tanAcotA=1$, therefore the equation becomes,

$tan^2A+cot^2A+2=4$

$tan^2A+cot^2A=2$

Thus, the value of $tan^2A+cot^2A$ will be 2.