ACT Exam > ACT Questions > sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2t...
Start Learning for Free
sec4 x - tan4 x is equal to ?
- a)1 + tan2 x
- b)2tan2 x - 1
- c)1 + 2tan2 x
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)N...
Concept:
a2 - b2 = (a - b) (a + b)
sec2 x - tan2 x = 1
a2 - b2 = (a - b) (a + b)
sec2 x - tan2 x = 1
Calculation:
sec4 x - tan4 x
=(sec2 x - tan2 x) (sec2 x + tan2 x) (∵ a2 - b2 = (a - b) (a + b))
= 1 × (1 + tan2 x + tan2 x) (∵ sec2 x - tan2 x = 1)
= 1 + 2tan2 x
sec4 x - tan4 x
=(sec2 x - tan2 x) (sec2 x + tan2 x) (∵ a2 - b2 = (a - b) (a + b))
= 1 × (1 + tan2 x + tan2 x) (∵ sec2 x - tan2 x = 1)
= 1 + 2tan2 x
Most Upvoted Answer
sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)N...
Concept:
a2 - b2 = (a - b) (a + b)
sec2 x - tan2 x = 1
a2 - b2 = (a - b) (a + b)
sec2 x - tan2 x = 1
Calculation:
sec4 x - tan4 x
=(sec2 x - tan2 x) (sec2 x + tan2 x) (∵ a2 - b2 = (a - b) (a + b))
= 1 × (1 + tan2 x + tan2 x) (∵ sec2 x - tan2 x = 1)
= 1 + 2tan2 x
sec4 x - tan4 x
=(sec2 x - tan2 x) (sec2 x + tan2 x) (∵ a2 - b2 = (a - b) (a + b))
= 1 × (1 + tan2 x + tan2 x) (∵ sec2 x - tan2 x = 1)
= 1 + 2tan2 x
|
Explore Courses for ACT exam
|
|
Similar ACT Doubts
Top Courses for ACTView all
sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice sec4 x - tan4 x is equal to ?a)1 + tan2 xb)2tan2 x - 1c)1 + 2tan2 xd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice ACT tests.
|
|
Explore Courses for ACT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup