Simplify (2sin45 - tan45) / 4tan60

Here we are dealing with 2 concepts: trigonometry and surds.First i would make sure that the student is aware/can identify these trigonometry values.So sin45 = 1/√ 2, tan45 = 1, tan60 = √ 3Now i would insert those values into the equation making it become: (2(1/√2)-1)/4√3Now, i would explain the rules behind the simplification of surds and how to rationalise a demonator. First I would rationalise sin45 = 1/√2 = √2/2. So the fraction now is (2(√2/2)-1)/4√3, which can be simplified to (√2 - 1)/4√3.Now i would rationalise the demonator by multiplying the fraction by √3/√3, so the equation becomes (√3)(√2 - 1)/(4√3)(√3). This can now be written as (√6 - √3)/12.

Answered by Safa M. Maths tutor

9753 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 2(x+4)=4x-6 for x


c is a positive integer. Prove that (6c^3+30c) / ( 3c^2 +15) is an even number.


Completing the square of 2x^2 - 8x + 7 = 0


How do you solve algebraic equations?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences