# pre-cal

Popular questions-
## Pre-Cal

Find sin 2x, cos 2x, and tan 2x from the given information. [1]. sin x = 8/17, x in Quadrant I 1). sin 2x =________. 2). cos 2x =________. 3). tan 2x =________. [2]. sin x = -5/13, x in Quadrant III 1). sin 2x =________. 2). cos 2x =________. 3). tan 2x

*asked by Amber on July 7, 2016* -
## pre-cal

Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship log S = log c + k log A where c and k are positive constants that depend on the type of species and habitat. (a) Solve the equation for S.

*asked by melek on February 19, 2012* -
## PRE-CAL

Complete the table for the time t (in years) necessary for P dollars to triple when interest is compounded continuously at rate r. (Round your answers to two decimal places.) R=2% t=? tried to plug in as A=Pe^rt since continiously 3=e^.02t ? then take the

*asked by RACHEL on September 17, 2016* -
## Pre-Cal

A Ferris wheel is 50 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 9 minutes. You make two

*asked by Alanas on February 14, 2014* -
## Pre-cal

The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for some complex numbers a and b. Find the product ab. Any help?

*asked by Sam on September 1, 2014* -
## Pre-Cal

Two airplanes take off from an airport at the same time. One travels on a heading of 45 at 420 mph and the other on a heading of 150 at 400 mph. After two hours, how far apart are the airplanes? A.650.66 miles B.1,160 miles C.1,301 miles

*asked by Adrianna on March 17, 2012* -
## Pre-Cal

A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 7 minutes. You make two

*asked by Courtney on February 14, 2014* -
## Pre-Cal

An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 cos 2θ − 1 = 0 a). Find all solutions of the equations answer--> θ= (π+6nπ)/6 ,

*asked by Amber on July 11, 2016* -
## Pre-Cal

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-7)/(x+3) and g(x) = (-3x-7)/(x-1) I got to the point where f(g(x)) is plugged in but how would I simplify it? (((-3x-7)/(x-1))-7)/(((-3x-7)/(x-1)+3)

*asked by Michaela on March 7, 2015* -
## Pre-Cal

1)tan 5 degrees + tan 25 degrees / 1 tan 5 degrees tan 25 degrees = sqrt 3 / 3 Am I correct? 2) Complete the identity tan^2Q - 3sinQtanQsecQ = -2tan^2Q Correct?

*asked by Hannah on March 10, 2010* -
## Pre-cal

Define your variables, write a system of equations, use your calculator to solve the system of equations and answer the problem. A grocer sells milk chocolate at $2.90 per pound, dark chocolate at $4.40 per pound, and dark chocolate with almonds at $5.50

*asked by L Stanely on April 20, 2018* -
## Pre-Cal

Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. (tan(74°)-tan(14°))/(1+tan(74°)tan(14°)) =__________ Find it's exact value (not decimal form) =__________ Note: A similar question(but with

*asked by Amber on July 7, 2016* -
## Pre-Cal

Find the exact sine value of the angle in standard position whose terminal side goes through the point (-1,5) I do not know when to start

*asked by Abbey on March 19, 2010* -
## Pre-Cal

A 13-ft ladder leans against a building so that the angle between the ground and the ladder is 63 degrees. How high does the ladder reach on the building? (round your answer to the nearest foot)

*asked by Jennifer on June 15, 2016* -
## Pre-Cal

A baseball player throws baseball at a velocity 139ft per second at an angle of 20 degrees. The ball leaves the players hand at a height of 5 feet. The path of the ball has a parametric equation x=v(o)t cos(o) and y-h+v(o)tsin(o)-16t^2. Write the

*asked by Carlos Garcia on April 20, 2016* -
## pre-cal

find the constant c such that the denominator will divide evenly into the numerator x^4+10x^2+c/x+i

*asked by crystal on October 13, 2015* -
## Pre-cal

a blimp, suspended in the air at a height of 500 feet, lies directly over a line from Soldier Field to the Adler Planetarium on Lake Michigan. if the angle of depression from the blimp to the stadium in 32 degrees and from the blimp to the planeterium is

*asked by Kelley on March 27, 2017* -
## Pre-Cal

A wire 360 inches long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

*asked by Jake on January 12, 2015* -
## Pre-Cal

The total cost (in thousands of dollars) of a machine manufacturing unit is given by the function T(x) = 300 + 5x, where x is the number of machines produced. What is the average cost (in thousands of dollars) of manufacturing 200 machines? (Average cost

*asked by Emily on September 30, 2014* -
## Pre-Cal

A circular gear turns 60 per hour. Through how many radians does it turn in a 24-hour day?

*asked by De'Steven on November 19, 2010* -
## Pre-Cal

This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2008. Assuming that you invest $9,000 in the United States (3.9%), how long (to the nearest year)

*asked by Kim on February 29, 2012* -
## Pre-Cal

Christian is solving the equation x2 – 12x = 4 by completing the square. What number must be added to both sides of the equation to complete the square?

*asked by Anonymous on October 26, 2012* -
## Pre-Cal

A pilot wishes to fly on course 290 with an air speed of 300 knots when the wind blows from 224 at 18 knots. Find the drift angle to the nearest hundredth of a degree. A.3.22° B.5.07° C.86.86° A river is flowing at the rate of 2.4 miles an hour when a

*asked by Adrianna on March 17, 2012* -
## pre-cal

Given that lim x->c f(x)=6 and that lim x->c g(x)= -4, evaluate the following limit. Assume that c is a constant. The x in front of the f is confusing me. lim [xf(x) + 3 g(x)]^2 x->c

*asked by Randy on May 8, 2010* -
## pre-cal

to find the distance AB across a river, a distance BC= 309m is laid off on one side of the river. It is found that B= 105.4 degrees and C= 12.2 degrees. Find AB To find the distance AB across a river, a distance BC= 309m is laid off on one side of the

*asked by devin on June 5, 2007* -
## Pre-Cal

Recursive Sequences: find a formula for: 1,1,2,3,5,8,13,21 It looks like the Fibonacci sequence. Take the first two numbers and add them to get the 3rd. take the 2nd and third to get the fourth...etc. yeah, but how would i write that into a formula?

*asked by James on December 6, 2006* -
## Pre-Cal

Assuming that you invest $12,000 in Japan, how long (to the nearest year) must you wait before your investment is worth $17,000 if the interest is compounded annually? The rate is 0.5%

*asked by Maggie on February 9, 2018* -
## Pre-Cal

Find sin x/2, cos x/2, and tan x/2 from the given information. [1]. sin x = 5/13, 0° < x < 90° 1). sin x/2 =________. 2). cos x/2 =________. 3). tan x/2 =________. [Note: Plz help with these 3]

*asked by Amber on July 7, 2016* -
## Pre-Cal

Evaluate the following. Show you work: A). tan^-1(tan(5π/6)) B). cos^-1(cos(-π/4)) Can someone please show me the steps to evaluating this problem. I've been working this for 2 hours today and all of last night, I still can't seem to figure it out.

*asked by Nicolle on June 24, 2016* -
## Pre-cal

Given that P=(-1,8) and Q=(-2,1), find the component form and magnitude of the vector 3 PQ.

*asked by Derek on May 14, 2016* -
## pre-cal

a page that x inches wide & y inches high contains 26 square inches of print. the margins on the top & bottom are 1.5 inches deep and the margins in the sides are 1 inches wide. a. sketch the situation above b. find the total area of the page c. find the

*asked by Anonymous on May 2, 2016* -
## pre-cal

A small ferris wheel: A student is riding a 20-m-diameter ferris wheel that is making three revolutions per minute. If there are eight equally spaced seats on the Ferris wheel, then what is the length of the arc between two adjacent seats?

*asked by jackie on December 3, 2015* -
## pre-cal

aj uses a lingshot to launch a rock straight up from the a point of 6 ft. above ground level with an initial velocity of 170 ft per second. A) find an equation that models the height of the rock t seconds after it is launched. b) what is the maximum height

*asked by jhon avendano on October 24, 2012* -
## pre-cal

use the given zero to find the remaining zeros of the function. h(x)=x^4-12x^3+36x^2+68x-525 zero:4-3i

*asked by ladybug on October 14, 2012* -
## pre-cal

find the center (h,k) and radius r of the circle and then find the intercepts, if any. 5x^2+30x+5y^2=0

*asked by ladybug on October 13, 2012* -
## Pre-Cal

Find the distance from point (-1, 3) to the line 5x- 4y= 10.

*asked by Adrianna on March 21, 2012* -
## Pre-Cal

Convert the given exponential function to the form indicated. Round all coefficients to four significant digits. f(x) = 9e^3x; f(x) = Ab^x How do i solve the equation with this formula? Thanks

*asked by Anne on February 29, 2012* -
## Pre-Cal

Use the law of cosines to find the angle of Q between the given vectors. v=3i + j w=2i - j

*asked by Hannah on March 28, 2010* -
## Pre-Cal

Perform the operation and write the result in standard form. (2-3i)(5i) over 2+3i Please help!! I do not understand this.

*asked by Kim on March 25, 2009* -
## pre-cal

suppose (-2,3) is on the graph of f(x).what point would be on g(x) if g(x) =-2f(x-3)+1

*asked by Andrea on October 22, 2019* -
## pre-cal

I have 2 sets of coordinates (1, 410) and (12, 788) and need to calculate the rate of change over time using y=ae^bt. Since I don't have a coordinate at 0, I can't figure out how to calculate my starting value, or a, to solve this.

*asked by Sydney on December 19, 2018* -
## Pre-cal

Solve (in radians) sec x = 2csc x When I work it out, it gets to 2cot x - 1 = 0 cot x = 1/2 Would it be ok to use tan^-1 (2) ? I must demonstrate it with a graph as well... would the line go through Q I/III or II/IV ? Thank you!

*asked by A on November 15, 2016* -
## PRE-CAL

Complete the table assuming continuously compounded interest. (Round your answers to two decimal places.) Initial Investment== ? Annual % Rate== ? Time to Double== 11YRS Amount After 10 Years== $1600 Using formula A=Pe^rt ?

*asked by RACHEL on September 17, 2016* -
## pre-cal

The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building?

*asked by carlos on August 21, 2016* -
## Pre-cal

For z1 = 4cis (7pi/6) and z2 = 3cis(pi/3), find z1 * z2 in rectangular form.

*asked by Sam on February 8, 2016* -
## pre-cal

Write a polynomial equation with integral coefficients that has 1/2 and 2i as solutions

*asked by crystal on October 6, 2015* -
## pre-cal

find the length of side b ABC to the nearest whole number if A = 42, B = 87, and a = 24

*asked by sabrina on August 18, 2015* -
## Pre-Cal

Let x and y be real numbers such that x^2 + y^2 = 1. Find the maximum value of 2x - 5y.

*asked by David on September 20, 2014* -
## Pre-Cal

For given functions f and g find formulas for a)f o g and b)g o f. Simplify results as much as possible. f(t)= t-3/t+6 , g(t)= 1/(x+6)^2

*asked by Brenda on September 17, 2013* -
## Pre-Cal

tan-1=43\9.3

*asked by Anonymous on May 1, 2013* -
## pre-cal

change the exponential expression to an equivalent expression involving a logarithm. 4.1=a^2

*asked by ladybug on October 9, 2012* -
## pre-cal

5 t values used to graph (called key pts or inflection pts) and primary cycle? 1) y=2sin(x-pi) 2) y=-sin3x-2 3) -3cos(1/2x+pi/3)+1 4) cospi(x-1)

*asked by Kim on March 5, 2012* -
## Pre-cal

Find the length of side b to the nearest whole number if side a = 105, angle A = 65 degrees, and angle B = 37 degree.

*asked by terry on March 5, 2012* -
## Pre-Cal

I have a piece of paper 22 in. long and 16 in. wide. I cut a 7 in. x 7 in. square from each corner. I then fold up the sides and form a box with an open top. What is the volume of this box?

*asked by Lauren on February 6, 2012* -
## Pre-Cal

I'm trying to do this identities homework and i can't figure this one out. sec^4x + (tan^2x)(sec^2x)= sec^4x

*asked by Jesssica on December 6, 2011* -
## Pre-Cal

Four couples have reserved seats in a row for a concert. How many ways can they be seated if the two members of each couple wish to sit together? How do I go about doing this problem? I'm not sure what/how I should multiply this out...

*asked by Norah on March 29, 2011* -
## pre-cal

verify the identity... cot(-a)cos(-a)+sin(-a)=-csc(a)

*asked by Anonymous on February 2, 2011* -
## Pre-Cal

A person flying a kite holds the string 4 feet above ground level. The string of the kite is taut and makes an angle of 60 degrees with the horizontal. Approximate the height of the kite above level ground if 500 feet of string is payed out.

*asked by Aaron on July 17, 2010* -
## pre-cal

Use logarithms to solve log 8 / log x < 1. I understand that there are 2 cases: when x is negative or positive. I don't understand how it affects the answer though.

*asked by mike on May 24, 2010* -
## Pre-cal

Please determine the following limits if they exist. If the limit does not exist put DNE. lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity lim 4n-3 / 3n^2+2 n-> infinity I did lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity (2+6x-3x²)/(4x²+4x+1) (2/x² + 6/x -3)/(4 + 4/x

*asked by Randy on May 9, 2010* -
## Pre-cal

Sketech the graph of the equation y^2+4y+2x+10=0. Identify the vertex, the focus and the equation for the directrix. Use the completing the square to put the equation into standard form as your first step. This is what I did. y^2 + 4y = -2x-10 y^2 + 4y + 4

*asked by Randy on May 8, 2010* -
## Pre-Cal

Find two functions f and g such that (f X g)(x) = h(x). (There are many correct answers.) h(x) = 4 / (5x + 2)^2 = My answers were: f(x) = 4 / 5x, and g(x) = 5x + 2 Please explain. These answers were wrong and I do not know how to fix them!!

*asked by Hannah on March 25, 2010* -
## Pre-Cal

Find cos(2x) if sin = 7/25 and x lies in quadrant 1 My answer was 336/625 but this was wrong. I do not know how to figure this out.

*asked by Hannah on March 11, 2010* -
## Pre-Cal

Perform the addition or subtraction and use the fundamental identities to simplify. tan x - sec^2 x / tan x I do not know where to start.

*asked by Hannah on February 28, 2010* -
## Pre-Cal

1) verify the identity sec^2 (pi/2 - x) -1 = cot^2 x I think that we can replace sec with csc for the cofunction formulas since there is pi/2. Since there is squared and a 1 I think we could use one of the pythagorean identites but I am not sure which one.

*asked by Hannah on February 28, 2010* -
## pre-cal

what are the steps to solve sec y sin (pi/2-y)=1

*asked by Lori on January 12, 2010* -
## Pre-Cal

Solve 5sinx=-4cosx for 0 less than or equal to x

*asked by james on January 10, 2010* -
## Pre-Cal

The diagonal and the longer side of a rectangle make an angle of 43.2. If the longer side is 12.6cm, find the length of the shorter side.

*asked by Daisy on January 29, 2008* -
## pre-cal

Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos 6x can be expressed as a series of terms that involve sin x or cos x only, but the end result is not a simplification. sin 2x = 2 sinx cosx cos 6x = 32 cos^6 x -48 cos^4 x + 18 cos^2 x -

*asked by ethan on May 17, 2007* -
## pre-cal

Find the roots of the function f(x)= x^2+2x+2 Determine f(x) a) (x+1-i)(x+1+i) b)(x+1-i sqrt of 2)(x+1+i sqrt of 2) c)x-1+i)(x-1-i) d)x-1+i sqrt of 2) (x-1-i sqrt of 2) Please Help! For all of these, use the rule [f(x) + ai]*[(f(x) - ai} = [f(x)]^2 + a^2

*asked by raven 31791 on March 8, 2007* -
## Pre-cal

Can someone help me please? Rewrite the expression so that it is not in fractional form: sin^2 x/1+cos x

*asked by Chris on March 31, 2020* -
## pre-cal

Dan's velocity is miles per min at 7.5 minutes.At what other time is Dans velocity .25 miles per minute

*asked by Andrea on October 27, 2019* -
## pre-cal

if f(x)=x^2+3x+5 , what is f(3+h)?

*asked by Akayla on September 21, 2018* -
## Pre-Cal

What is the domain of f/g, given f(x)= x+2 and g(x)= x-7?

*asked by Kate on December 14, 2017* -
## Pre-cal

A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t)=96t-16t^2 projectile formula: s(t)=1/2gt^2+v+t+h g=acceleration due to gravity. V= the initial

*asked by Lissa on December 5, 2017* -
## Pre-cal

Determine two positive integers such as 5 less than two times the first number is the second number. The sum of the second number and the square of the first is 115.

*asked by John on March 15, 2017* -
## Pre-Cal

A plane has a velocity of 400 mph to the SW. A wind from the west is blowing at 50 mph. Find the resultant speed and direction. How do i find resultant speed without a direction.

*asked by Nikhil on January 26, 2017* -
## Pre-cal

With this equation, y= -2-4sin(3.14/2(x-1/3)), graph two full cycles, scale the x-axis every quarter cycle

*asked by Syd on January 20, 2017* -
## Pre-Cal

Write the standard equation of the ellipse: 1. F1 (-4,0) and F2 (4,0), passing through (4,1)

*asked by Gennelle on January 17, 2017* -
## PRE-CAL

Factor the trigonometric expression. There is more than one correct form of the answer. cot^2 x + csc x − 19 NOT SURE WHETHER TO REPLACE THE COT WITH COS^2X/SIN^2X THEN CSCX TO 1/SINX?

*asked by RACHEL on October 17, 2016* -
## Pre-Cal

Suppose that cosx= -3/5 and x is in the third quadrant, and that siny= 2/9 and y is in the second quadrant. Find the exact values 1). tan(y/2) 2). cos(x+y) 3). tan(x+y)

*asked by Help on July 12, 2016* -
## Pre-Cal

[Note: This one... is super hard for me :( I really need help. please. I only have 2 hours left and I have no idea what I'm doing!! Suppose that cosx= -3/5 and x is in the third quadrant, and that siny= 2/9 and y is in the second quadrant. Find the exact

*asked by Amber on July 12, 2016* -
## Pre-Cal

[Note: I'm still having issues with identities with regard to trig] Verify the Trig. identities: (a). cot(x+y)=(cotxcoty-1)/(cotx+coty) (b). sin0(cot0+tan0)=sec0 [Note: 0=theta symbol]

*asked by Amber on July 11, 2016* -
## Pre-Cal

[Note: i did these wrong apparently.. :( ] Simplify the trigonometry expressions as much as possible. (a). tan^(2)xsecx+secx (b).(csct-sint)/(csct)

*asked by Amber on July 11, 2016* -
## Pre-Cal

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos θ = −1/2 1).θ= Answer-->(2π/3)+2πn, 4π/3+2πn 2). List six specific solutions a). b). c). d).

*asked by Amber on July 11, 2016* -
## Pre-Cal

Write the trigonometric expression in terms of sine and cosine, and then simplify. 1). (csc θ − sin θ)/(cos θ) ____________. 2). Simplify the trigonometric expression. (cos u + 1)/(sin u) + (sin u)/(1 + cos u) ______________.

*asked by Amber on July 6, 2016* -
## Pre-Cal

Write the trigonometric expression in terms of sine and cosine, and then simplify. tan u sin u + cos u _____________.

*asked by Amber on July 6, 2016* -
## Pre-Cal

I really need help on this. Can someone show me step by step how to do this plz. Solve the follow: csc (tan^-1(x))

*asked by Nicolle on June 24, 2016* -
## Pre-Cal

Evalute the expressions: 1). sin(π/3)+cos(π/3) 2). (cos 45°)^2-(sin 45°)^2

*asked by Jennifer on June 15, 2016* -
## Pre-Cal

Simplify and show work: [(X^(2)+3)^(1/3)](-1)(x^(-2))+[1/3(x^(2)+3)^(-2/3)](2x)(x^(-1)) My answer key says that it's this but I have no idea how to get to it. I've tried 4 times already and failed each: [-(x^(2)+9)]/[(3x^(2))(x^(2)+3))^(2/3)]

*asked by Dom on June 1, 2016* -
## Pre-cal

Solving the principle values of x of the equation 4cos^2x-3=0

*asked by Wendy on May 25, 2016* -
## Pre-Cal

Find all Real solutions of the Equation: (ENter as comma sparated answers, if there are no real solutions then just leave as NRS) x^(4/3)-9x^(2/3)+14=0 x=?

*asked by Dom on May 25, 2016* -
## Pre-Cal

Solve the equation for the indicated variable: (ax+b)/(cx+d)=6 , Solve for X

*asked by Dom on May 25, 2016* -
## Pre-cal

*asked by Anonymous on February 10, 2016* -
## Pre-cal

What is the area of triangle ABC if a = 19, b = 14, and c = 23?

*asked by sam on February 5, 2016* -
## pre-cal

Find the zeros, if any exist. Round your answers to two decimal places.

*asked by rhonda on January 31, 2016* -
## Pre-Cal

Sin^2xcosx+4sinxcosx+3cosx=0 I'm not even sure where to start. Help please

*asked by Yolanda on January 28, 2016* -
## Pre-cal

Each of the two congruent sides of an isosceles triangle are 10 centimeters more than 1/2 the length of the base. If the perimeter of the triangle is to be at most 100 centimeters, what is the maximum length of the base?

*asked by Monica on January 21, 2016* -
## pre-cal

A small ferris wheel, a student is riding a 20-m-diameter ferris wheel that is making 3 revolutions per minute. What is the area of the sector between 3 of the seats (3/8) of the wheel?

*asked by vanessa on December 3, 2015* -
## Pre-Cal

A kite string is 400 ft. long. If the kite makes an angle of 42 with the ground, what is the height of the kite?

*asked by Noemi on December 1, 2015*