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In the above diagram, the angle between y=axy=axy=ax and the xxx-axis is θ\thetaθ and the angle between y=mxy=mxy=mx and the xxx-axis is 3θ.3\theta.3θ. If a=16,a = \frac{1}{6},a=61, what is the value of m?m?m?
If sinθ=13,\sin \theta = \frac{1}{3},sinθ=31, what is sin3θ?\sin 3\theta?sin3θ?
What is 6×(3×tan10∘−tan310∘1−3×tan210∘)2?6\times\left(\frac{3\times\tan10^{\circ}-\tan^3 10^{\circ}}{1-3\times\tan^2 10^{\circ}}\right)^2?6×(1−3×tan210∘3×tan10∘−tan310∘)2?
If sin3θcos3θ+2cosθ=7,\frac{\sin3\theta}{\cos3\theta+2\cos\theta}=7,cos3θ+2cosθsin3θ=7, what is the value of tanθ?\tan\theta?tanθ?
If sin3θcos3θ+2cosθ=4,\frac{\sin3\theta}{\cos3\theta+2\cos\theta}=4,cos3θ+2cosθsin3θ=4, what is the value of tanθ?\tan\theta?tanθ?
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In the above diagram, the angle between y=ax and the x-axis is θ and the angle between y=mx and the x-axis is 3θ. If a=61, what is the value of m?