Basic Trigonometry (Edexcel A-Level Mathematics): Flashcards

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Trigonometry - Definitions
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What is the sine ratio in a right-angled triangle?

sinθ=OppositeHypotenuse\sin \theta = \frac{\text{Opposite}}{\text{Hypotenuse}}

How is the cosine ratio defined in trigonometry?

cosθ=AdjacentHypotenuse\cos \theta = \frac{\text{Adjacent}}{\text{Hypotenuse}}

Define the tangent ratio for an angle θ\theta.

tanθ=OppositeAdjacent\tan \theta = \frac{\text{Opposite}}{\text{Adjacent}}

What is the cosecant ratio?

cscθ=1/sinθ=Hypotenuse/Opposite\csc \theta = 1 / \sin \theta = \text{Hypotenuse} / \text{Opposite}

What defines the secant function in trigonometry?

secθ=1/cosθ=Hypotenuse/Adjacent\sec \theta = 1 / \cos \theta = \text{Hypotenuse} / \text{Adjacent}

What is cotangent in terms of tangent?

cotθ=1/tanθ=Adjacent/Opposite\cot \theta = 1 / \tan \theta = \text{Adjacent} / \text{Opposite}

What does the unit circle represent in trigonometry?

A circle with radius 11 centered at the origin.

What is the Pythagorean identity formula?

sin2θ+cos2θ=1\sin^2 \theta + \cos^2 \theta = 1

How to convert degrees to radians?

Radians = Degrees × π\pi / 180

What are the sine and cosine of 90 degrees?

sin90°=1\sin 90° = 1, cos90°=0\cos 90° = 0

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