Math, asked by ADITHYA505, 3 months ago

using Maclaurin's expansion expand log (sec X)​

Answers

Answered by pds39937
21

Step-by-step explanation:

Let, y=log(secx)∴dydx=1secxsecxtanx=tanxByusingstandardseriesoftanx,∴dydx=tanx=x+x33+2x515+…Onintegrating,∴y=log(secx)=x22+x412+2x66∗15+…=x22+x412+x645+…HenceProved.

Previous Question
Next Question
Similar questions
Math, 1 month ago
The perpendicular from A on side BC of a ABC intersects BC at D such that DB = 3 CD. Prove that 2AB² = 2AC² + BC²​...
English, 1 month ago
4) He had won many national and international awards, (Identify the tense and make it present perfect continuous tense)​...
English, 1 month ago
LCM of 3 and 6 answer it nice ly​...
Economy, 3 months ago
do dhruviyata vishwa ka arth likho ?​
World Languages, 3 months ago
Read this excerpt from The People Could Fly. They say the people could fly. Say that long ago in Africa, some of the people knew magic. And they would walk up on the air like climbin up on a gate. And they flew like blackbirds over the fields. Black, shiny wings flappin against the blue up there. Which word best describes the setting in this excerpt? ordinary stormy calm enchanted...
Chemistry, 9 months ago
Is steel a pure substance.and homogeneous.who will answer this first I Will mark them brainiest...
Math, 9 months ago
answer this please ​...
Social Sciences, 9 months ago
the Indian Constitution guarantee _____ to all citizens of 18 year of age or above​...