a) i) Given that show that tan = 3 ii) Solve the equation for 0

Question:

a) i) Given that

show that tanθ = 3

ii) Solve the equation

for 0° ≤ θ ≤ 360°.

iii) Solve the equation


for 0° ≤ 0≤ 360°. 

b) i) Given that 2 sin² 2θ − cos2θ = 1, show that 2 cos² 2θ + cos²θ − 1 = 0.

ii) Solve the equation 2 sin² 2θ − cos 2θ = 1 for 0° ≤ θ ≤ 720°.

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