MYTUTOR SUBJECT ANSWERS

1286 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

11 months ago

Answered by Hannah, an A Level Maths tutor with MyTutor


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

180 SUBJECT SPECIALISTS

£20 /hr

Eduardo S.

Degree: Bioengineering (Masters) - Sheffield University

Subjects offered: Maths, Spanish+ 3 more

Maths
Spanish
Physics
French
Chemistry

“About Me: I am a first year, Bioengineering MEng student at the University of Sheffield. I was born in Venezuela and have lived in 6 different countries in which I’ve learnt fluent English and proficient French, having already learnt ...”

£20 /hr

James B.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

Maths

“About MeI'm a second year student at Exeter University. I've been passionate about maths from a young age and have carried that love through my school and uni career. I hope that I can generate the same passion for my tutees as well....”

£20 /hr

Becky H.

Degree: Mathematics (Masters) - Exeter University

Subjects offered: Maths

Maths

“I have always loved Maths and have always found it mind-bogglingly enjoyable – this is why I’m doing a degree in Maths at Exeter University. My enthusiasm will shine through from the start and I’m told this can be really infectious! I...”

About the author

Hannah M.

Currently unavailable: for regular students

Degree: Mathematics (Bachelors) - Durham University

Subjects offered: Maths

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 Maths questions

Simplify (7+sqrt(5))/(sqrt(5)-1), leaving the answer in the form a+b*sqrt(5)

What does it mean to differentiate a function?

How do you differentiate X to the power of a?

Differentiation basics: What is it?

View A Level Maths 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