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.

SM
Answered by Safa M. Maths tutor

10289 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Can you solve these simultaneous equations and find the values of x and y? Equation 1: 2x + y = 14 Equation 2: 4x - y = 10.


How would I solve x^2 + 7x + 10 = 0


What is the value of x if 2X+1: 3 = 5: 9?


The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences