Target Mathematics

1.98: Trigonometric equations

4PM1/1/January/2016 — Question 6 · 6 marks

Giving your solutions to 3 decimal places, solve the equation
(a) cosx=0.4\cos x=0.4,   π<x<π-\pi<x<\pi (2)
(b) tan ⁣(2θ+π4)=1.5\tan\!\left(2\theta+\dfrac\pi4\right)=1.5,   0<θ<π0<\theta<\pi (4)