Find the values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point. \[ (\sqrt{6},-\sqrt{2}) \] \( \cos \alpha=\frac{-}{2} \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) tan \( \alpha=\square \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Find all solutions of the equation in the interval \( [0,2 \pi) \). \[ \cot ^{2} x+2 \csc x=-1 \] Write your answer in radians in terms of \( \pi \). If there is more than one solution, separate them with commas. \( x=\square \)

5. Suppose the govemment increases the tax on tobacco products, and suppose the demand for these products is inelastic. How should this be analysed on the multiplier model? Which of the following statements is true? A The planned expenditure line will shift upwards, because people will pay more in the shops on tobacco products. B The planned expenditure line will shift downwards, because people will buy fewer cigarettes, so their spending on tobacco after allowing for the tax will be lower. C The withdrawals line will end up shifting downwards, because the rise in the tax will cause people to save less. D The injections line will shift downwards, because this includes all govemment spending net of taxes.

Une classe de 30 élèves dont 12 filles et 18 gar- çons, doit élire un comité composé d'un pré- sident, un vice-président et un secrétaire. 1) Combien de comités peut-on constituer? 2) Combien de comités peut-on constituer sa- chant que le poste de secrétaire doit être occupé par une fille? 3) Quel est le nombre de comités comprenant le chef de classe? 4) Quel est le nombre de comités pour lesquels le président est un garçon et le secrétaire une fille? 5) Quel est le nombre de comités pour lesquels le président et le vice-président sont de sexes dif- férents?

ta is an attorney who has been called into action to oversee and supervise government's litigation in a U.S. Supreme Court case. This might very well olve Greta herself conducting an oral argument before the Court. To which he following titles is Greta MOST LIKELY to answer? Assistant U.S. attorney Chief Justice of the Supreme Court Attorney general Solicitor general

Which of the following statements are true? 1. For cost increases to lead to sustained inflation, there must be persistent rises in costs followed by persistent government efforts to return output to its potential level. 2. For cost increases to lead to sustained inflation, there must be persistent rises in costs coupled with wage flexibility that always returns the labour market to equilibrium. 3. For demand increases to lead to sustained inflation, there must be persistent increases in demand followed by persistent government efforts to return output to its potential level. 4. For demand increases to lead to sustained inflation, there must be persistent increases in demand couplec with wage flexibility that always returns the labour market to equilibrium. 1 and 3 only 1 and 4 only 2 and 3 only 2 and 4 only