Linear Trigonometric Equations (AQA A-Level Mathematics): Flashcards

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Linear Trigonometric Equations
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Period of sin\sin and cos\cos

360360^\circ or 2π2\pi radians

Period of tan\tan

180180^\circ or π\pi radians

Quadrants where sin>0\sin > 0

First and second

Quadrants where cos<0\cos < 0

Second and third

Quadrants where sin<0\sin < 0

Third and fourth

Value of sin30\sin 30^\circ

0.50.5

Value of cos120\cos 120^\circ

12-\frac{1}{2}

Value of tan45\tan 45^\circ

11

General solution for tanθ=k\tan \theta = k

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

First step for compound angle equations

Modify domain for the compound angle

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