 # Core 2 AS level maths formulae OCR

Flashcards by Tess W, updated more than 1 year ago Created by Tess W almost 5 years ago 148 8

### Description

All the formulae and notes needed for Core 2, including those in and out of the formula booklet given. For AS level Maths for OCR ## Resource summary

 Question Answer Summary of Sine, Cosine, and Tangent angles and values 017c748b-f395-4c63-a9e1-a5f1ae254511.png (image/png) The properties of the function cosx Periodic property: cos(x-360) = cosx Even/odd property: cos(-x) = cosx Translation property: cos(x-180) = -cosx Supplementary property: cos(180-x) = -cosx The properties of the function of sinx Periodic property: sin(x-360) = sinx Even/odd property: sin(-x) = -sinx Translation property: sin(x-180) = -sinx Supplementary property: sin(180-x) = sinx The properties of the function tanx Periodic property: tan(x-180) = tanx Odd property: tan(-x) = -tanx Supplementary property: tan(180-x) = -tanx Solving the equation cosx = k Step 1: Find cos-1(k) Step 2: Use the symmetry property cos(-x) = cosx to find another root Step 3: Add or subtract multiples of 360 to find the roots in the required interval Solving the equation sinx = k Step 1: Find sin-1(k) Step 2: Use the symmetry property sin(180-x) = sinx to find another root Step 3: Add or subtract multiples of 360 to find the roots in the required interval Solving the equation tanx = k Step 1: Find tan-1k Step 2: Add or subtract multiples of 180 to find the roots in the required interval Relations between the trigonometric function. Sometimes called Pythagoras' theorem in trigonometry. For all values of x: tanx = sinx/cosx, provided that cosx does not equal 0; cos^2(x) + sin^2(x) = 1

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