Question

if tana=3 then find sina +cosa-1/sina-cosa+1

Answer 1

The answer is given below :

Given,

tanA = 3,

So, cosA = 1/√10

=> 1/cosA = √10

Now,

sinA + cosA - 1
--------------------
sinA - cosA + 1

dividing both the numerator and the denominator by cosA, we get :

tanA + 1 - (1/cosA)
= ------------------------
tanA - 1 + (1/cosA)

3 + 1 - √10
= --------------
3 - 1 + √10

4 - √10
= ----------
2 + √10

Thank you for your question.