Solution of Trigonometric Equations (VCE SSCE Mathematical Methods): Flashcards

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Solution of Trigonometric Equations
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Quadrants where sint\sin t is positive

1st and 2nd quadrants

Quadrants where sint\sin t is negative

3rd and 4th quadrants

Quadrants where cost\cos t is positive

1st and 4th quadrants

Quadrants where cost\cos t is negative

2nd and 3rd quadrants

Period of sin\sin and cos\cos functions

2π2\pi

Symmetry: sin(πθ)=?\sin(\pi - \theta) = ?

sinθ\sin \theta

Symmetry: sin(π+θ)=?\sin(\pi + \theta) = ?

sinθ-\sin \theta

For sin(nt)\sin(nt) equations, substitute x=?x = ?

ntnt

Definition of reference angle

Acute angle in 1st quadrant

Mode to check on calculator before solving trig equations

Degree or radian mode

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