You are here:

- Home
- Teens
- Homework/Study Tips
- Calculus
- Per-Calculus

Advertisement

I need help verifying a trig identity. I have tried several times. This question is totally different than what was presented in class (which the teacher didn't explain very well either).

Sec X + csc X

-------------------- = csc X

1 + tan X

To prove this identity, you need to rewrite sec X & csc X

as 1/cos X & 1/sin X respectively:

Sec X + csc X (1/cos X)+(1/sin X) (sin X+cos X)/(cos X sin X)

--------------- = -------------------------- = -----------------------------------

1 + tan X 1 + (sin X /cos X) (sin X+cos X)/ cos X

1/ (cos X sin X)

= -------------------- (Note that the sin X +cos X factor is eliminated)

1/ cos X

= 1/ sin X = csc X =RHS (shown)

Hope this helps. Peace.

Calculus

Answers by Expert:

I can answer questions concerning calculus, complex numbers, vectors, statistics , algebra and trigonometry for the O level, A level and 1st/2nd year college math/engineering student.

More than 7 years of experience helping out in various homework forums. Latest Presence is over at
http://www.thestudentroom.co.uk/ .
You can also visit my main maths website http://www.whitegroupmaths.com where I have
designed "question locker" vaults to store tons of fully worked math problems.
A second one is currently being built.
Peace.**Organizations**

IEEE(Institute of Electrical and Electronics Engineers )**Education/Credentials**

Former straight As A level student from HCJC (aka HCI); scored distinctions
in both C and Further Mathematics
B Eng (Hons) From The National University Of Singapore (NUS)
B Sc (Hons) From University of London International (Grad Route)