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Flip to reveal answersState SOH-CAH-TOA.
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All 9 Flashcards — Right-angled trig
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Question
State SOH-CAH-TOA.
Answer
sin θ = opp/hyp, cos θ = adj/hyp, tan θ = opp/adj.
Question
Which side is the hypotenuse?
Answer
The longest side, opposite the right angle.
Question
How do you find a side with right-angled trig?
Answer
Pick the ratio linking the angle, the wanted side and a known side; rearrange for the unknown.
Question
How do you find an angle from two sides?
Answer
Form the ratio, then take the inverse (sin⁻¹, cos⁻¹, tan⁻¹).
Question
When do you use Pythagoras instead of trig?
Answer
When you have two sides and need the third with no angle involved.
Question
Side opposite 30° when hypotenuse is 10?
Answer
10 sin 30° = 5.
Question
Angle with opposite 3, adjacent 4?
Answer
tan⁻¹(3/4) ≈ 36.9°.
Question
Common right-angled-trig mistake?
Answer
Calculator in the wrong mode (degrees vs radians), or mislabelling opp/adj.
Question
Hypotenuse from legs 5 and 12?
Answer
√(25 + 144) = 13.
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Full study notes for Right-angled trig
Topic 3.2 hub
Sine & cosine rules
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