Saved Bookmarks
| 1. |
Prove that,tantheta/sectheta-1+tantheta/sectheta+1=2cosectheta |
|
Answer» to PROVE that,Solution:Taking the LHS we get:Take the LCM.On applying the IDENTITY (a + B)(a - b) = a² - b² and on taking tanθ as COMMON out from the numerator we get:On applying the identity sec²θ - 1 = tan²θ we get:Cancelling tanθ and tan²θ we get:We know that secθ = 1/cosθ and tanθ = sinθ/cosθ.Substituting these values we get:We know that sinθ = 1/cosecθ. Applying this relation we get:LHS = RHS Hence proved. |
|