Tangent of an angle in surd form from an equation relating a sine and a cosine of compound angles

Tangent of an angle in surd form from an equation relating a sine and a cosine of compound angles

IB Year 6 | Grade 12
5 marks

It is given that \(2\sin(x-60^\circ)=\cos(x+60^\circ)\). Find the value of \(\tan x\) in the form \(a+b\sqrt3\), where \(a\) and \(b\) are integers.[5]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:\(\tan x=-4+3\sqrt3\)

Need help? Join our JC Math tuition classes.

Learn more