Saved Bookmarks
| 1. |
Sec^4A(1-sin^4A)-2tan^A |
|
Answer» Answer: ANSWER Consider the L.H.S, =sec 4 A(1−sin 4 A)−2tan A =sec 4 A−sec 4 Asin 4 A−2tan 2 A =sec 4 A− cos 4 A sin 4 A
−2tan 2 A =sec 4 A−tan 4 A−2tan 2 A =[(sec 2 A) 2 −(tan 2 A) 2 ]−2tan 2 A =[(sec 2 A)−(tan 2 A)][(sec 2 A)+(tan 2 A)]−2tan 2 A We know that sec 2 A−tan 2 A=1 Therefore, =sec 2 A+tan 2 A−2tan 2 A =sec 2 A−tan 2 A =1 Hence, proved Step-by-step explanation: HOPE it's help you |
|