Question

If tanA+1/tanA=2
Then find cosecA

Answer 1

To find: The value of Cosec A will be ?

Solution:

Step 1: Take LCM

Step 2: Cross multiply tan A

or

it's a quadratic equation in tanA, it can be converted to complete square term.

Thus,

or

or

Step 3: find value of A

as tan 45°=1

So,

cancel tan from both sides

A=45°

Step 4: Find the value of cosec A

cosec 45°=√2

Final answer:

If tanA + 1/tanA =2, then the value of Cosec A will be √2.

Hope it helps you.