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

15891 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

proof for the derivative of sin(x) is cos(x) (5 marks)


What is dy/dx when y=ln(6x)?


Three forces of magnitude 50N, PN, QN all act in a horizontal plane in equilibrium. The diagram shows the forces. DIAGRAM: QN = EAST, 50 = SOUTH, PN = 120 DEGREES ANTICLOCKWISE FROM QN a) Find P. b) Find Q.


Express 2Cos(a) - Sin(a) in the form RCos(a+b) Give the exact value of R and the value of b in degrees to 2 d.p.


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