Find the general solution of the equation tan(2x + pi/2) = SQRT(3), giving your answer for x in terms of π in a simplified form.

Assume y = 2x + pi/2,
Since the period of 'tangent' is pi, the general solution of 'y' to valid the equation of tan(y) = SQRT(3) is the form of y = npi+pi/3 where 'n' is any positive or negative integer and zero.
Substitute y back to the equation, it becomes 2x + pi/2 = n
pi+pi/3.
Simplify this equation in the form of 'x', it becomes: x = 1/2(n*pi - pi/6) where 'n' is any positive or negative integer and zero.

CH
Answered by Chunlong H. Maths tutor

4703 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Problem of Optimisation: A company is designing a logo. The logo is a circle of radius 4 inches with an inscribed rectangle. The rectangle must be as large as possible.


Let f(x)=xln(x)-x. Find f'(x). Hence or otherwise, evaluate the integral of ln(x^3) between 1 and e.


Integrate 3x*2 using limits of 3 and 2


June 2008 C1 Paper Differentiation Question


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