Show that 6sin(60◦) + 5tan(60◦) can be written in the form √k where k is an integer.

sin(60◦) = √3 /2 

tan(60◦) = √3

6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192

AG
Answered by Alistair G. Maths tutor

4339 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

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


There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is 2/3 The probability that a girl chosen at random studies French is 3/5. Work out the number of students in the school who study French.


Jessica buys 10kg of chocolate for £20. She divides them into 500g bags which she sells for £1.30 each. Given that Jessica sells all her chocolate, what is her percentage profit?


How to solve an equation when the variable is in the denominator?


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning