MYTUTOR SUBJECT ANSWERS

2776 views

Prove that 1/(tanx) + tanx = 1/sinxcosx

The key here is to realise that tanx = sinx/cosx. If we write out the left hand side of the equation in terms of sine and cosine we get:

cosx/sinx + sinx/cosx

These two fractions can be put over a common denominator of sinxcosx to give:

(cos2x + sin2x)/sinxcosx

If we then use the well-known identity cos2x + sin2x = 1, we see that the above expression is equivalent to 1/sinxcosx, which is the expression we were required to find.

Hannah M. A Level Maths tutor, GCSE Maths tutor, 11 Plus Maths tutor

1 year ago

Answered by Hannah, an A Level Further Mathematics tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

79 SUBJECT SPECIALISTS

£20 /hr

Luke B.

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Further Mathematics , Maths+ 3 more

Further Mathematics
Maths
.STEP.
.MAT.
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

£30 /hr

Ayusha A.

Degree: BEng electrical and electronics engineering (Bachelors) - Newcastle University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

£20 /hr

Sam A.

Degree: Mathematics (Bachelors) - York University

Subjects offered:Further Mathematics , Maths+ 1 more

Further Mathematics
Maths
Biology

“An enthusiastic and engaging undergrad mathematician (University of York, MMath), whose lessons are focused for the student, and never the teacher.”

About the author

Hannah M.

Currently unavailable: for new students

Degree: Mathematics (Bachelors) - Durham University

Subjects offered:Further Mathematics , Maths

Further Mathematics
Maths

“Hi, I'm Hannah and I am studying Maths in my first year at Durham University. I've really loved maths all the way through school (and so far into university!) and have signed up to be a tutor so I can try to share that love with other...”

You may also like...

Posts by Hannah

Express (2x-1)/(x-1)(2x-3) in partial fractions.

Prove that 1/(tanx) + tanx = 1/sinxcosx

Solve the equation 5^x = 8, giving your answer to 3 significant figures.

Other A Level Further Mathematics questions

How do you plot a complex number in an Argand diagram?

Find the square root of i

How do you show that the centre of a group is a subgroup

f(x) = 9x^3 – 33x^2 –55x – 25. Given that x = 5 is a solution of the equation f(x) = 0, use an algebraic method to solve f(x) = 0 completely.

View A Level Further Mathematics tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok