Show that 12 cos 30° - 2 tan 60° can be written in the form√ k where k is an integer

Firstly work out (using the sin cos tan triangle and soh cah toa) what cos 30° and tan 60° are equal to so tan 60° = √3 and cos 30° = √3 / 2 then substitute these values into the euqation giving 12 x √3 / 2 - 2 √3 which can be simplified to 6 √3 - 2 √3 (because the 12 is divisible by 2) this can be simplified further to 4√3 (because the √3 is consistent in each number you can simply do 6-2 = 4)

EN
Answered by Eve N. Maths tutor

29727 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following simultaneous equations: x^2 + y^2 = 12, x - 2y = 3


What is the inverse of a function and how do you find it?


Find the complex solutions for the following equation: -3x^2+4x+4=0


How can you calculate the distance between 2 points in a grid if they're not on the same horizontal or vertical line?


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