Find the solutions of the equation 3cos(2 theta) - 5cos(theta) + 2 = 0 in the interval 0 < theta < 2pi.

3cos^2(theta) - 3sin^2(theta) - 5cos(theta) + 2 = 0

3cos^2(theta) + 3cos^2(theta) - 3 - 5cos(theta) + 2 = 0

6cos^2(theta) - 5cos(theta) - 1 = 0

delta = 25 + 24 = 49

cos(theta) = (5 - 7)/12 = -1/6 or cos(theta) = 1

theta = 0 or arccos(-1/6) or 2pi - arccos(-1/6) or 2pi

Answered by Piotr W. Maths tutor

4166 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find d^2y/dx^2 for y=4x^4−3x^3−6x^2+x


Differentiate the function f(x) = x*sin(x)


What is the gradient of the function f(x) = 2x^2 + 3x - 7 at the point where x = -2?


Solve 2sin2θ = 1 + cos2θ for 0° ≤ θ ≤ 180°


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 2013–2024

Terms & Conditions|Privacy Policy