Linear Trigonometric Equations (Edexcel A-Level Mathematics): Quizzes

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Linear Trigonometric Equations
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What defines a linear trigonometric equation?

Variable appears in linear form only

What is the period of tanθ\tan \theta?

180180^\circ or π\pi radians

In which quadrants is sinθ\sin \theta positive?

First and second quadrants

In which quadrants is cosθ\cos \theta negative?

Second and third quadrants

What are the solutions to sinθ=0.5\sin \theta = 0.5 for 0θ3600^\circ \leq \theta \leq 360^\circ?

30,15030^\circ, 150^\circ

What are solutions to cosθ=12\cos \theta = -\frac{1}{2} for 0θ3600^\circ \leq \theta \leq 360^\circ?

120,240120^\circ, 240^\circ

For cos(2x)=0.2\cos(2x) = 0.2 with 0x3600 \leq x \leq 360, what are the limits for 2x2x?

02x7200 \leq 2x \leq 720

When solving cos(2x)=0.2\cos(2x) = 0.2, when should you divide by 2?

After finding all solutions for 2x2x

What is the general solution for tanθ=k\tan \theta = k?

θ=tan1(k)+180n\theta = \tan^{-1}(k) + 180^\circ n

In which quadrants is sinθ\sin \theta negative?

Third and fourth quadrants

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