Instructor: Kaddour Boukaabar Program: CMAP4 Parts A_B_C_D
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1 Student: Date: Instructor: Kaddour Boukaabar Program: CMAP Parts A_B_C_D Assignment: Review For Math Assessment & Placement: Part D 1. Write as an exponential equation. log 100,000 = = 100, = 100, = 100, ,000 = 10 ID: MC A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ. ( 18, 2) Find sin θ. ID: MC Find the value of the logarithmic expression. log ID: MC /1
2 . Use the power property to rewrite the expression. 2 log 7x 2 log 7x 2 7 log x 2 log x 7 7 log x 2 ID: MC Convert the angle in radians to degrees. π 2 π π 90 ID: MC Find all values that make the expression undefined. 8 m + 0 Never undefined ID: MC Express as the logarithm of a single expression. Assume that variables represent positive numbers. log bx + log by log xy 2b log (x + y) b log xy b log (x + y) 2b ID: MC /1
3 8. Write as a logarithmic equation. 10 = 1,000 log 1,000 = 10 log = 1, log 1,000 = 10 log 10 = 1,000 ID: MC Find a positive angle less than 60 that is coterminal with the given angle ID: MC Express as the logarithm of a single expression. Assume that variables represent positive numbers. log bx log by log b x y log bx y log 2b x y log b y x ID: MC /1
4 11. Solve the equation. log 9 + log x = ID: MC Use an identity to find the value of the expression. Do not use a calculator. 2 2 sin 0 + cos ID: MC Convert the angle in radians to degrees. π 6 1 π 6 0 0π ID: MC /1
5 1. Find the value of the logarithmic expression. log ID: MC Express as the logarithm of a single expression. Assume that variables represent positive numbers. 6 log bq log br 6 log b q r log b 6q r 6 log bq log br log b q 6 r ID: MC Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give an exact answer with a rational denominator. sin θ = sin θ = 97 9 sin θ = 97 9 sin θ = Find sin θ. ID: MC /1
6 17. Write the expression as sums or differences of multiples of logarithms. log y 11x log y11x log y log 6x y log 11 + log x + log y y y log 11 + log x log y y y ID: MC A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ. (, ) Find cos θ. ID: MC Convert the angle in degrees to radians. Express answer as a multiple of π. 60 π radians 2 π radians π radians π radians ID: MC /1
7 20. θ is an acute angle and sin θ is sin θ = 2 2. Use the Pythagorean identity sin 2 θ + cos 2 θ = 1 to findcos θ ID: MC Determine the amplitude or period as requested. Period of y = sin x 2π 2π 1 ID: MC Find the reference angle for the given angle ID: MC Complete the identity. cot x tan x =? sin x ID: MC /1
8 2. Use reference angles to find the exact value of the expression. Do not use a calculator. tan π 1 1 ID: MC A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ. ( 6, 7) Find tan θ ID: MC Find the value of the logarithmic expression. log ID: MC /1
9 27. 2 Given f(x) = x x + 1, find f( 1). 2 6 ID: MC Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give an exact answer with a rational denominator. 7 tan θ = 7 8 tan θ = 7 tan θ = 8 tan θ = 7 Find tan θ. ID: MC Solve the equation. Give an exact solution. x e = 6 ln 6 ln 6 ln 6 2 e ID: MC Draw the angle in standard position. 60 ID: MC /1
10 1. Given the values of f and g, find the function value. f(2) = ; g( 11) = 2 Find (f g)( 11) ID: MC Solve the equation. x = 26 6 ID: MC For the given functions f and g, find the composition. 2 f (x) = x + x; g(x) = x + Find (f g)() ID: MC Express as the logarithm of a single expression. Assume that variables represent positive numbers. log 6 + log x log 6x log x 18 log 6 x log (x + 6) ID: MC /1
11 1. 10 = 100, log x log xy b 8. log 1,000 = log b x y q 6 log b r 16. sin θ = /1
12 17. log 11 + log x log y y y π radians π tan θ = ln /1
13 log 6x 1/1
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