![]() ![]() ![]() Stay with me, especially if you’re math-averse: I’ll show you how to use school arithmetic, common knowledge and a little imagination to train your emotional sense for the large numbers shaping our daily lives. Happily, anyone who can understand tens, hundreds and thousands can develop habits and skills to accurately navigate millions, billions and trillions. ![]() Unfortunately, math anxiety is widespread even among intelligent, highly educated people.Ĭomplicating the issue further, citizens emotionally undeterred by billions and trillions are nonetheless likely to be ill-equipped for meaningful analysis because most people don’t correctly intuit large numbers. National discussions of crucial importance to ordinary citizens-such as funding for scientific and medical research, bailouts of financial institutions and the current Republican tax proposals-inevitably involve dollar figures in the millions, billions and trillions. The following essay is reprinted with permission from The Conversation, an online publication covering the latest research. ![]()
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In future Lietuvos bankas has the right to use the letter «B» in the serial number in the event it is allocated any future production of banknotes of the first series. (2) Lithuania adopted the euro on 1 January 2015. However, the use of that letter is still uncertain it depends on future production arrangements. ![]() ![]() In future Latvijas Banka has the right to use the letter "C" in the serial number in the event it is allocated any future production of banknotes of the first series. (1) Latvia adopted the euro on 1 January 2014. ![]() ![]() ![]() ![]() Simplify 2 cot 2 x Use cot 2 x 1 = csc 2 x csc 2 x - 1 ■ 2 Use sin x cos x = 1 Use csc x = sin x Sin 2 x cos 2 x ) ■ Decompose into sine and cosine Simplify Use sin 2 x cos 2 x = 1 2 cos x Tan 2 x 3) tan x × (tan x cot x) ( sin x sin x cos x Tan x sec x tan 2 x Use tan 2 x 1 = sec 2 x cos 2 xcot 2 x Answers to Practice 7a#2 Proving Trig IdentitiesĬos x Use sec x = cos x 2 Use tan 2 x 1 = sec 2 x tan x 1 Tan 2 xcot 2 x Worksheet by Kuta Software LLC -3- ©w c2^0Z2a1J RKiuMt[ax sS`oofftCwma_rOew NLoLWCV.x F fATlJlR HrqiMghh`t_st \ruelsDeerHviecdk.k G NMiaSdCep PwniItFhs gIzn`faiOnhiCtJe\ cPBrGecczaKllcJuBlxuJsu. Tan x 5) csc 2 xcos 2 x = csc 2 x - 1 6) tan x - cot xsec 2 x = -csc xcos x Worksheet by Kuta Software LLC -2- ©V q2s0c2v1k cKouBtOaB MSuoCfitmwwaGrceP ML_LZC].b D IAIlDlS TrgiXgHhktks\ brgepsWearKvieGdX.` R KMQabdCei GwyiWtqh] oIonIfSi]n]iItpeA jPFrkeXcYajlEckuOl. 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