Question

.
(1+tan² A)cot A/
cos ec²A​

Answer 1

Answer:

tanA

Step-by-step explanation:

here i found answer

Answer 2

Given: The given expression is $(1+tan^2A)cotA/cosec^2A$.

To find: We have to find the value of the expression.

Solution:

The given expression is $(1+tan^2A)cotA/cosec^2A$.

We know that $(sec^2A-tan^2A)=1\\sec^2A=1+tan^2A$.

Putting the value of $(1+tan^2A)$ in the above expression we get-

$sec^2AcotA/cosec^2A$.

Again we know that $sec^2A/cosec^2A=tan^2A$.

Putting the value of $sec^2A/cosec^2A$ in the above expression we get-

$tan^2AcotA$

Again we know that tanA=sinA/cosA and cotA=cosA/sinA

Putting the value of tanA and cotA in the expression we get-

$(sin^2A/cos^2A)×cosA/sinA\\sinA/cosA\\=tanA$.

Thus, the value of the expression is tanA.