GDL

Mathematical Tools for Physics

The comm on trigon om etric func tions are fami liar to you, bu t d o you know some of the tri cks to rem emb er (or

to derive qu ickl y) th e c om mon i dentities among the m? Given the sin e of an an gl e, wh at is its tangent? Given

its tangent, wh at is its cosi ne? All of thes e sim ple but o ccasionall y use ful rel ations can b e derived in ab ou t two

sec on ds if you und erstan d the ide a b e hin d one pic tu re. Supp os e f or examp le that you kn ow the tangent of θ, what

is sin θ? Draw a right triangle an d d esignate the tan gen t of θ as x, so you c an draw a trian gle with tan θ = x/1

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