(a) By using a suitable trigonometrical identity, solve the equation tan(2x-π/6)^2 =11-sec(2x-π/6)giving all values of x in radians to two decimal places in the interval 0<=x <=π .

say (2x-π/6)=qtan2q = sec2q-1so sec2q-1= 11 - sec q sec2q + sec q -12 = 0(sec q -3) (sec q + 4) = 0sec q = 3 or -4because 0<=x<= πso -π/6 <= q <= 11π/6q = 1.23 or 1.82 or 4.46 or 5.05so x = 0.88 or 1.17 or 2.49 or 2.79

ZZ
Answered by Zhaohui Z. Maths tutor

8207 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I differentiate a trigonometric function for something that is not just a single variable (e.g. d/dx (sin(3x))?


Solve the following inequality and shade the region to which it applies on a graph. 10x(squared) < 64x - 24


What actually are sin, cos and tan?


Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.


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