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study help
mathematics
precalculus

Questions and Answers of Precalculus

In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.– π/6
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.390°
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.405°
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.13π/6
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.8π/4
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.11π/4
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.3π/4
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.240°
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.210°
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.5π/6
In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.2π/3
Find (f ° g)(x) and (g ° f)(x) and graph each of these functions. f(x) = 2 sec x 8(x) 2
Find (f ° g)(x) and (g ° f)(x) and graph each of these functions.f(x) = tan x g(x) = 4x
Find the average rate of change of f from 0 to π/6.f(x) = sec(2x)
Find the average rate of change of f from 0 to π/6.f(x) = tan(2x)
Find the average rate of change of f from 0 to π/6.f(x) = sec x
Find the average rate of change of f from 0 to π/6.f(x) = tan x
Find the exact value of the remaining trigonometric functions.cos θ = 12/13, 3π/2 < θ < 2π
Find the exact value of the remaining trigonometric functions.sin θ = -5/13, 3π/2 < θ < 2π
Find the exact value of the remaining trigonometric functions.cos θ = -3/5, θ is in quadrant III
Find the exact value of the remaining trigonometric functions.sin θ = 12/13, θ in quadrant II
Find the exact value of the remaining trigonometric functions.csc θ = -3/5, cot θ < 0
Find the exact value of the remaining trigonometric functions.sec θ = -4/5, tan θ < 0
Find the exact value of the remaining trigonometric functions.cot θ = 12/5, cos θ < 0
Find the exact value of the remaining trigonometric functions.tan θ = 12/5, sin θ < 0
Find the exact value of the remaining trigonometric functions.tan θ = 1/4, θ is acute
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = -2 csc(πx)
Name the quadrant in which the angle θ lies.cos θ > 0, tan θ < 0
In problem, find the exact value of each expression. Do not use a calculator.sin 45° + cos 60°
Match the given function to one of the graphs (A)–(D). y y = 3 sin 3 3 3 8т 2 2T 8т -3 -3 -3 -3 (A) (B) (C) (D)
In problem, convert each angle to D°M'S'' form. Round your answer to the nearest second.18.255°
Find the exact value of the remaining trigonometric functions.sin θ = 4/5, θ is acute
Find the exact value of expression. Do not use a calculator.cot 200° cot(-70°)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. csc(2x)
Name the quadrant in which the angle θ lies.cos θ > 0, tan θ > 0
In problem, find the exact value. Do not use a calculator.tan (-3π)
In problem, convert each angle to D°M'S'' form. Round your answer to the nearest second.61.24°
Match the given function to one of the graphs (A)–(J). si(-) y = -2 sin || УА УА УА 2 -2 4п -2 /4п -2T 4п -2 (A) (B) (C) УА y. 2 for -2T/ Зп 5т X 3 4 5 2 3 4 5 X TT -2 (D) (E) (F) y.
Find the exact value of expression. Do not use a calculator.sin 400° sec(-50°)
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y = 4 sec
Name the quadrant in which the angle θ lies.sin θ < 0, tan θ < 0
In problem, find the exact value. Do not use a calculator.sec (-π)
Hungarian Adrian Anmus won the gold medal for the hammer throw at the 2004 Olympics in Athens with a winning distance of 83.19 meters.* The event consists of swinging a 16-pound weight attached to a
In problem, convert each angle to D°M'S'' form. Round your answer to the nearest second.40.32°
Find the exact value of expression. Do not use a calculator.tan(-20°) cot 20°
The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, isWhat is the period? What is the amplitude? What is the phase shift? Graph this function over
Name the quadrant in which the angle θ lies.sin θ < 0, cos θ > 0
In problem, find the exact value. Do not use a calculator.sin (-3π)
Logan has a garden in the shape of a sector of a circle; the outer rim of the garden is 25 feet long and the central angle of the sector is 50°. She wants to add a 3-foot-wide walk to the outer rim;
In problem, convert each angle to a decimal in degrees. Round your answer to two decimal places.98°22'45''
Match the given function to one of the graphs (A)–(J). y = -2 cos -х УА УА УА 2 -2 4п -2 /4п -2T 4п -2 (A) (B) (C) УА y. 2 for -2T/ Зп 5т X 3 4 5 2 3 4 5 X TT -2 (D) (E) (F) y. 3 У
Find the exact value of expression. Do not use a calculator. sin(-40°) cos 50° cos
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = -3 csc x
Name the quadrant in which the angle θ lies.sin θ > 0, cos θ < 0
The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, isWhat is the period? What is the amplitude? What is the phase shift? Graph this function over
In problem, find the exact value. Do not use a calculator.cos(-3π/2)
Write an equation for a sinusoidal graph with the following properties:A = -3 Period = 2π/3 phase shift = -π/4
In problem, convert each angle to a decimal in degrees. Round your answer to two decimal places.9°9'9''
Match the given function to one of the graphs (A)–(J). y = -2 cos х
Find the exact value of expression. Do not use a calculator.tan 20°/cot 70°
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 1/2 csc x
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sec 25π/6
Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods. y = -csc 4 TX +
In problem, find the exact value. Do not use a calculator.sec (8π)
Graph the function. TT + 2 y = tan --x + 4
In problem, convert each angle to a decimal in degrees. Round your answer to two decimal places.73°40'40''
Match the given function to one of the graphs (A)–(J). y = 2 sin x 21
Find the exact value of expression. Do not use a calculator.sin 50°/cos 40°
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 2 sec x
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.tan 19π/6
Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods.y = -sec(2πx + π)
In problem, find the exact value. Do not use a calculator.csc 11π/2
Graph the function. х y y = 2 sin т 6.
In problem, convert each angle to a decimal in degrees. Round your answer to two decimal places.1°2'3''
Match the given function to one of the graphs (A)–(J).y = -3 sin(2x) УА УА УА 2 -2 /4п -2 -2T 4п 4п -2 (B) (A) (C) УА y. 2 for -2T/ 3 4 3 4 5 2 Зп 5т X 5 X TT -2 (D) (E) (F) y.
Find the exact value of expression. Do not use a calculator.tan 10° cot 10°
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. IT y = cot
Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods. TT y y = -tan 3x + ||
In problem, find the exact value. Do not use a calculator.cot 7π/2
The point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function.(6, -3), tan θ
In problem, convert each angle to a decimal in degrees. Round your answer to two decimal places.61°42'21''
Match the given function to one of the graphs (A)–(J).y = 3 cos(2x) УА УА УА 2 -2 /4п -2 -2T 4п 4п -2 (B) (A) (C) УА y. 2 for -2T/ 3 4 3 4 5 2 Зп 5т X 5 X TT -2 (D) (E) (F) y. 3
Find the exact value of expression. Do not use a calculator.sec 50° cos 50°
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y = cot
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sec 17π/4
Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods. y = -cot 2x + 2
In problem, find the exact value. Do not use a calculator.tan (6π)
The point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function.(-5, 11), cos θ
In problem, convert each angle to a decimal in degrees. Round your answer to two decimal places.40°10'25''
Match the given function to one of the graphs (A)–(J). y = 2 cos( * X.
Find the exact value of expression. Do not use a calculator. cot 40° cos 40°
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. y = tan
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.csc 9π/2
Apply the methods of this and the previous section to graph each function. Be sure to label key points and show at least two periods. sec(3x – T) y = 2
The point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function.(2, 7), sin θ
Match the given function to one of the graphs (A)–(J). т y = 2 cos( х 2
In problem, draw each angle.21π/4
Find the exact value of expression. Do not use a calculator. sin? 20° + sec2 20°
Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. tan y = y
Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.tan(21π)

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