Inverse Trigonometric functions Questions and Answers
Math - Others
Inverse Trigonometric functionsThe real income effect states that at higher prices consumers will have reduced purchasing power resulting in a lesser demand at infinite prices consumers will have increased purchasing power resulting in a greater demand at higher prices consumers will have reduced purchasing power resulting in a greater demand at higher prices consumers will have increased purchasing power resulting in a lesser demand
Math - Others
Inverse Trigonometric functionsThe following expression can be written as which algebraic expression in x? cos(cot-¹(x)) √1-x^2 / x √1+x^2 / x x/ √1-x ^2 None of these expressions I don't know.
Math - Others
Inverse Trigonometric functionsConsider the following.
3 + 4/ 1-√3i
(a) Write the trigonometric forms of the complex numbers. (Let 0 ≤ 0 < 2. Round your angles to three decimal places.)
3+4i=
1-√3i =
(b) Perform the indicated operation using the trigonometric forms. (Let 0 ≤ 0 < 2. Round your angles to three decimal places.)
(c) Perform the indicated operation using the standard forms, and check your result with that of part (b). (Round all numerical values to three decimal places.)
Math - Others
Inverse Trigonometric functionsEvaluate the following expressions. Your answer must be an angle in radians and in the interval [-π/2, π/2]
(a) sin-¹ (√2/2) = _________
(b) sin-¹ (-√2/2) = _________
(c) sin-¹ (-√3/2) = __________
Math - Others
Inverse Trigonometric functionsEvaluate the expression sin-¹(cos(π/3))
Give your answer as an exact value
Math - Others
Inverse Trigonometric functionsIF θ = arccos 3/5,
a. then cos θ = 3/5 and 0 < θ < π/2
b. then cos θ = 3/5 and 3π/2 < θ < 2π
c. then cos θ = 3/5 and θ terminates in QIV
d. then cos θ = 3/5 and π/2 < θ < π
Math - Others
Inverse Trigonometric functionsFind the inverse Laplace transform, y(t), of the function
Y(s) = 24/(s+5) + 7/(s²+49)
Math - Others
Inverse Trigonometric functionsLaw of cosines: a²=b²+ c²-2bccos(A)
Find the measure of ∠Q, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. Round the measure to the nearest whole degree.
34°
41°
51°
56°
Math - Others
Inverse Trigonometric functionsReduce the equation to standard form, plot
the vertex, focus ends of latus rectum. Find
the equation of the directrix and trace the
parabola.
a. y^2 + 20y - 10 = 0
b. 4x^2 + 4x 24y + 370
Math - Others
Inverse Trigonometric functionsChoose all solutions to the equation. Use Capital Letters ONLY. If you choose more than one letters, please arrange them in alphabetical order, please.
If tan A = √3, then
A) A= π/3 + 2kπ; k: integer OR
B) A= ± π/3+ kπ, k;π integer OR
C) A=π/3+ kπ; k: Integers.
D) A = arctan √3+kπ, k: integer OR
E) A= ± arctan √3+2kπ, k: integer
A) A,C,E
B) A,C,D
C) B
D) E
Math - Others
Inverse Trigonometric functionsFind the EXACT value of the real number y, if it exists. y = cot ¹(-1)
Math - Others
Inverse Trigonometric functionsFind the exact value of the expression.
sin ^-1 √2/2
π/4
2π/3
3π/4
π/3
Math - Others
Inverse Trigonometric functionsUse a sketch to find the exact value of the expression.
cos (sin ^-1 4/5)
Math - Others
Inverse Trigonometric functions[13] Find the exact value of the given expression. Show all the work needed as if you aren't allowed to use a calculator. Include a pic of the angle in play, terminating in the appropriate quadrant:
Math - Others
Inverse Trigonometric functionsSimplify, showing all the work needed as if you aren't allowed to use a calculator.
Include pics of the angles in play, each terminating in the appropriate quadrant:
Math - Others
Inverse Trigonometric functionsBeginning inventory, purchases, and sales for Item 88-HX are as follows:
July 1 Inventory 96 units @ $16
8 Sale 77 units
15 Purchase 107 units @ $19
27 Sale 90 units
Assuming a perpetual inventory system and using the last-in, first-out (LIFO) method, determine (a) the cost of goods sold on July 27 and (b) the inventory on July 31.
a. Cost of goods sold on July 27
b. Inventory on July 31
Math - Others
Inverse Trigonometric functionsWrite the expression as an algebraic (nontrigonometric) expression in u, u > 0.
tan (arcsin u)
Math - Others
Inverse Trigonometric functionsUse a calculator to give the real number value. (Be sure the calculator is in radian mode.)
cot -¹(-0.036)
cot -¹(-0.036) =
(Round to the nearest hundredth as needed.)
Math - Others
Inverse Trigonometric functionsUse a calculator to give the value in decimal degrees.
cot -¹(-0.041)
cot -¹(-0.041) =°
(Type your answer in degrees. Round to six decimal places as needed.)
Math - Others
Inverse Trigonometric functionsSolve 4 cos(5x) = 3 for smallest
positive solution.
Give answer accurate to atleast two decimal places
Math - Others
Inverse Trigonometric functionsUse your calculator to find the value of the function in terms of degree:
Please round your answer to the hundredth's place.
sin ^-1(5√3/2)
Math - Others
Inverse Trigonometric functionsFind 8 to four significant digits for 0se<2x if tan 0= -0.1111.