MYTUTOR SUBJECT ANSWERS

1737 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

86 SUBJECT SPECIALISTS

£20 /hr

Larry R.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered: Further Mathematics , Maths

Further Mathematics
Maths

“I am a Mathematics student at Warwick University. My enthusiasm for all things mathematical has no bounds and it's not just Maths that interests me but also the way that people learn it.  I am patient and friendly. Over the last few y...”

£20 /hr

Kirill M.

Degree: Physics (Masters) - Oxford, St Catherine's College University

Subjects offered: Further Mathematics , Physics+ 2 more

Further Mathematics
Physics
Maths
.PAT.

“Me Hi, I'm Kirill, I'm a 3rd year physicist at Oxford. Whether you are looking for exam preparation or for a better understanding of the material that you are covering in your studies of Maths or Physics, I can help you reach your goa...”

£20 /hr

Shaun F.

Degree: Mathematics with International Study (Masters) - Exeter University

Subjects offered: Further Mathematics , Maths

Further Mathematics
Maths

“Hi, I'm Shaun! I'm currently studying for a masters in Mathematics at the University of Exeter..”

MyTutor guarantee

About the author

£24 /hr

Hannah M.

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

Understanding differentiation from first principle.

How do I solve a simultaneous equation with more unknowns than equations?

What is a complex number?

How do I find the vector/cross product of two three-dimensional vectors?

View A Level Further Mathematics tutors

Cookies:

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

mtw:mercury1:status:ok