Express 5cosx - 3sinx in the form Rcos(x+a).

cos(x+a)=cosxcosa-sinxsina so cosa=5 sina=3 which means tana=3/5 a=0.54 RADIANS R=sqrt(52+32). =sqrt(34) so sqrt(34)cos(x+0.54)

EH
Answered by Elizabeth H. Maths tutor

15888 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

In the case of vectors, how do I find the shortest distance between a point and a line?


Solve the equation cos2x - 5cosx = 2


How do I do integration by parts?


(a) Express 9x+11/(2x+3)(x-1) as partial fractions and (b) find the integral of 9x+11/(2x+3)(x-1) with respect to x


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