Solve, correct to 2 decimal places, the equation cot(2x)=3 for 0°<x<180°

To start, we use the inverse trigonometric formulae to convert the 'cot' function into a 'tan' function: cot(2x)=1/(tan(2x))=3 Inverting this gives: tan(2x)=1/3 2x=arctan(1/3)=18.43°or (180+18.43)° Therfore dividing by 2 gives the solutions as: x= 9.22° or 99.22°

Answered by Matthew G. Maths tutor

8626 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the turning points of the curve y = x^3 +5x^2 -6x +4


A particle of mass 0.5 kg is moving down a rough slope (with coefficient of friction = 0.2) inclined at 30 degrees to the horizontal. Find the acceleration of the particle. Use g = 9.8 ms^-2.


find dy/dx of x^1/2 + 4/(x^1/2) + 4


If y = exp(x^2), find dy/dx


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