Question

SinA/secA+tanA-1 + cosA/cosecA+cotA+1 = ?

Answer 1

Correct Question

sinA/(secA + tanA - 1) + cosA/(cosecA + cotA - 1)

Solution

(Given in attachment)

Procedure

1. Replace secA by 1/cosA and tanA by sinA/cosA. Similarly, cosecA by 1/sinA and cotA by cosA/sinA.

2. Take sinA cosA common out from fraction.

3. Take L.C.M and cancel same terms

3. Take negative sign common and we know that sin²A + cos²A = 1.

4. Again cancel 1 and - 1 and cancel sinA cosA under division.

5. We are left behind with a numeric value.

Answer: 1