Solving Trigonometric Equations (Grade 10 NSC Matric Mathematics): Flashcards

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Solving Trigonometric Equations
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Formula for sine ratio in right-angled triangle

sin⁡θ=oppositehypotenuse\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}

Formula for cosine ratio in right-angled triangle

cos⁡θ=adjacenthypotenuse\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}

Formula for tangent ratio in right-angled triangle

tan⁡θ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}

Mnemonic to remember trig ratios

SOH CAH TOA

When do you use inverse trig functions?

When finding angles from known side ratios

Calculator key needed for inverse trig functions

SHIFT key (or 2nd)

Maximum value of sine and cosine functions

1

When does a trig equation have no solution?

When sin or cos value > 1 or < -1

Definition of hypotenuse in right-angled triangle

Longest side opposite the right angle

Rounding convention: angles vs lengths

Angles: 1 d.p., Lengths: 2 d.p.

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