minajo
- 3
- 0
Homework Statement
Prove that tanx + 1 = secx.
Homework Equations
sinx/cosx + 1 = 1/cosx
Proving the Trigonometric Identity: tanx + 1 = secx
- Thread starter minajo
- Start date
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
7 replies · 3K views
Prove that tanx + 1 = secx.
sinx/cosx + 1 = 1/cosx
- 9,253
- 1,080
minajo said:
Have you tried substituting a value, any value, to confirm this may be true?
It will be rather difficult to prove that it's an identity if it really isn't.
- 1,347
- 12
minajo said:
Check wherever you got this problem from to see if you copied it correctly. It looks like something is missing in the original problem.
Harrisonized
- 206
- 0
Don't you mean tan2x + 1 = sec2x?
minajo
- 3
- 0
I wish I did. I am reviewing precalc with a student as a private tutorto prepare him for H.S. Calc. and this problem was one that neither of us could figure out.
GreenPrint
- 1,186
- 0
I think you forgot the squares... if you meant them then
start with
sin(x)^2+cos(x)^2=1
Do you have any clue or idea were to go from here?
start with
sin(x)^2+cos(x)^2=1
Do you have any clue or idea were to go from here?
- 42,895
- 983
What people are telling you is that you cannot prove tan x+ 1= sec x, it is NOT true. For example if x= 45 degrees ([itex]\pi/4[/itex], the left side is 2 while the right side is [itex]\sqrt{2}[/itex].
You can prove that [itex]tan^2 x+ 1= sec^2(x)[/itex] for all x.
You can prove that [itex]tan^2 x+ 1= sec^2(x)[/itex] for all x.
minajo
- 3
- 0
I realize that and have come to the conclusion that either I miscopied the problem, the book has a misprint, or we both misunderstood the instructions. Thanks everyone. I will look at the problem at our next session and figure out where to go.