Saved Bookmarks
| 1. |
Prove that (1+tan²Q)+(1+1/tan²Q)=1/sin²Q-sin power4 Q |
|
Answer» ONG>Step-by-step explanation: Consider the L.H.S, =sec A(1−sin 4 A)−2tan 2 A =sec 4 A−sec 4 Asin 4 A−2tan 2 A =sec 4 A− 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 |
|