Friday

July 1, 2016
**trigonometry (Trig Equation)**

4 cos 2x + 3 cos x = 1
*Thursday, February 11, 2016 by alex*

**Trig**

If tan theta = a/b, where a and b are positive, and if theta lies in quadrant III, find sin theta
*Friday, January 29, 2016 by Eka*

**Trig**

The Leaning Tower of Pisa is 55m tall. The tope edge of the tower is 5m out from the bottom edge. What is the angle created between the ground and the tower? Round your answer to the nearest degree. tan -1 (55/5) = 85 degrees but my Brother says I did it wrong that the angle ...
*Friday, January 29, 2016 by Ron*

**Purdue Trig**

A spherical balloon is being inflated so that radius is increasing at a rate of 10 mm/sec.
*Thursday, January 28, 2016 by Dave Thompson*

**Please help me with trig.**

One more problem.. Given sin t= 3/11 and cos t<0, find the values of the remaining 6 trig functions.
*Wednesday, January 27, 2016 by Jane*

**Please help me with Trig**

Given cos 67.5° = [√(2+√2)]/2, find tan 67.5° , simplify where needed, and show work. I'm starting to learn this stuff, and I'm so confused where to start. I know they gave me the coordinate X as in cos 67.5° = [√(2+√2)]/2, and I ...
*Wednesday, January 27, 2016 by Jane*

**Functions & Trig**

evaluate each function at the given value: f(n)=-n^6+31n^4+26n^3+20n^2+-33n-20 when n=6 I was thinking that I should do synthetic division, but I've tried it a few times and I can't get it to work out correctly. Please help!
*Tuesday, January 26, 2016 by Kerry*

**Functions & Trig**

evaluate each function at the given value: f(n)=-n^6+31n^4+26n^3+20n^2+-33n-20 when n=6 I was thinking that I should do synthetic division, but I've tried it a few times and I can't get it to work out correctly. Please help!
*Tuesday, January 26, 2016 by Kerry*

**trig**

Two ships leave port at the same time and travel straight line distances, the first at 30 km/h and the second at 10 km/h. Two hours later they are 50 km apart. What is the angle between their courses?
*Sunday, January 24, 2016 by owen*

**trig**

In a certain right triangle, the two sides that are perpendicular to each other have lengths h = 4.40 m and b = 8.70 m. What is the length of the third side of the triangle?
*Saturday, January 23, 2016 by jojo*

**Calculus**

Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0-pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one.
*Tuesday, January 19, 2016 by Rostrastics*

**Trig**

Distance between the goal posts, 19.5 feet, is the length of an arc on a circle of radius 50 yards. The kicker aims to kick the ball midway between the uprights. To score a field goal, what is the maximum number of degrees that the actual trajectory can deviate from the ...
*Tuesday, January 19, 2016 by moscato*

**Calculus**

Use the identity sin^2x+cos^2x=1 and the fact that sin^2x and cos^2x are mirror images in [0,pi/2], evaluate the integral from (0-pi/2) of sin^2xdx. I know how to calculate the integral using another trig identity, but I'm confused about how to solve this one.
*Monday, January 18, 2016 by Andre*

**Trig**

An air traffic controller tells the pilot of an airplane flying due east to turn the plane so that it has a heading of 120 degrees east of north. What angle does the airplane turn and which direction is the plane now headed?
*Wednesday, January 13, 2016 by Kiana *

**Trig - 9th grade**

Can you help me solve: 5sin2x + 3sinx - 1 = 0 Thanks
*Sunday, January 10, 2016 by Carol*

**Calculus**

∫((cos^3(x)/(1-sin^(2)) What is the derivative of that integral? I have been trying to use trig identities but can't find one to simplify this equation. I can't find one for (cos^3(x) or (1-sin^(2)) My options -sin(x) + C sin(x) + C (1/4)cos^(4)(x) + C None of ...
*Saturday, January 2, 2016 by Henry *

**Trig**

Help me find out how to do csc5pi over6
*Thursday, December 31, 2015 by Anonymous*

**Pre-calculus/ trig**

Given the vectors a= (-1,9) and b= (4,2) explain the difference between a-b and b-a. Thank you for your help! :)
*Thursday, December 17, 2015 by Rachel*

**Math**

Find an equation for the tangent to the curve y=1+ (sqrt2)(csc(X)) + cot(X). I just learned, though my teacher wasn't super good with explaining, derivatives for trig functions but they still aren't making too much sense. Could you please give me a step by step ...
*Wednesday, December 16, 2015 by Cindy*

**Trig**

(tan/cot)- (sec/ cos) Also I need help with tan sin +cos = sec
*Tuesday, December 8, 2015 by N*

**Trig**

(Cos/1-sin)- tan
*Tuesday, December 8, 2015 by N*

**Trig**

Tan^2= csc^2 tan^2 -1
*Tuesday, December 8, 2015 by N*

**Trig**

(Tan/cot)- (sec/cos)
*Tuesday, December 8, 2015 by N*

**Trig**

(Cos/1-sin)- tan
*Tuesday, December 8, 2015 by N*

**algebra 2 trig**

lighthouse b is 9 miles west of lighthouse A. a boat leaves A and sails 5 miles. At this time, it is sighted from B. If the bearing of the boat from B is N64 E, how far from B is the boat?
*Tuesday, December 8, 2015 by Anonymous*

**Trig**

In still air, an airplane is flying at 100 mph. It encounters a wind blowing toward the west at 50 mph. What should be the plane's compass heading for its course to be N30ºW?
*Monday, December 7, 2015 by Annie*

**trig**

find the exact value of each expression. do not use a calculator. Sec 3.14/4 + 2 csc 3.14/3 4 + tan 2*3.14/3
*Monday, December 7, 2015 by Anonymous*

**Math**

Solve simultaneously for the two equations for x and y 5x(cos 45) + 15y(cos 30) = 2,000 5x(sin45) - 15y(sin 30) = 0 I tried adding these two eqn. to elimate y and solve for x by adding [5 x cos 45] and [5 x sin 45] but the value for x is too high. Would I have to use trig ...
*Saturday, December 5, 2015 by Rose*

**Graphing Reciprocal Trig Functions**

a) y=csc(x-3) I understand that there are asymptotes at 0, pi, and 2pi and I know how to graph the base points but I am confused on how to move it with the phase shift. Do I use a table of value for the asymptotes and base points to move?
*Sunday, November 29, 2015 by Mandy*

**Solving Trig Equations**

Solve for x in the interval [-pi,0] a) sin^2x = 3/4 I know that you have +root3/2 and -root3/2 and the positive one gives you an error when doing the inverse of sin, but im confused about the -root3/2. I found that one of the answers of x is -pi/3 (-60 degrees) which fits my ...
*Friday, November 27, 2015 by Mandy*

**Precalc Trig**

here's the question: solve for cos(2theta)=1 if you graph r= cos(2Theta) then graph r=1 you find that there are four places where the graphs intersect. however, when solved algebraically, there are two solutions which can be represented in an infinitely many format as: ...
*Friday, November 20, 2015 by Wulramm*

**Trig right triangle**

A ship leaves port at 6 am and heads due east at 20 knots. At 10 am, to avoid a storm the ship changes course to N 47°. Find the ships distance from port at 4 pm.
*Tuesday, November 17, 2015 by Ken*

**Trigonometry **

Use trig form to find quotient 3/(2+3i)
*Tuesday, November 17, 2015 by Shannon*

**Trig**

A ship leaves port at 6 am and heads due east at 20 knots. At 10 am, to avoid a storm the ship changes course to N 47° E.. (47° east of north). Find the ships distance from port at 4 pm.
*Monday, November 16, 2015 by Isaac*

**Trig **

I've done this one multiply times yet it never seems to work out, I'm supposed to simplify yet it never works out tan(csc^-1(x/x-1)) my first step; sin/cos(1/sin(x/x-1))
*Monday, November 16, 2015 by Anna *

**Math**

The current, I, in amperes, for an electric circuit is given by the formula I=4.3sin120(pi)t, where t is time, in seconds. a)At what time is the current at its max volume? How does your understanding of co terminal angles help in your solution? b)What time is the current at ...
*Friday, November 13, 2015 by Bethany*

**Trig**

Find all angles θ between 0° and 180° satisfying the given equation. (Enter your answers as a comma-separated list. Round your answers to one decimal place.) Sin θ = 1/4
*Monday, November 9, 2015 by Amanda*

**Calculus**

how do you solve this trig identity? i don't get it at all! cos(a+b)cos(a-b)=cos^2a-cos^2b-1
*Monday, November 9, 2015 by sakura*

**trig**

The angle of elevation from a point on the ground to the top of a tree is 38.7 degrees. The angle of elevation from a point 27 ft farther back to the top of the tree is 22.9 degrees. Find the height of the tree to 2 decimal places.
*Monday, November 9, 2015 by jake*

**Physics**

In a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. In one instance, the radius of the circle is 0.608 m. At one point on this circle, the ball has an ...
*Wednesday, November 4, 2015 by Deven*

**trig**

Find the component form of v and sketch the specified vector operations geometrically, where u = 4i − j, and w = i + 5j. v = −u + w v = ( , )
*Monday, November 2, 2015 by Jose*

**trig**

Find the magnitude and direction angle of the vector v. v = 4(cos 125°i + sin 125°j) ||v|| = θ =
*Monday, November 2, 2015 by James*

**trig**

Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Sketch v. Magnitude Angle ||v||= 7/2 45 degrees v=( , )
*Monday, November 2, 2015 by amanda*

**trig**

An airplane is flying in the direction 148° with an airspeed of u = 920 kilometers per hour. Because of the wind, its groundspeed and direction are v = 820 kilometers per hour and 140°, respectively (see figure). Find the direction and speed of the wind.
*Monday, November 2, 2015 by bob*

**Trig application**

I can't figure this out. A famous golfer tees off on a long, straight 459 yard par 4 and slices his drive 10 degrees to the right of the line from tee to the hole. If the drive went 288 yards, how many yards will the golfer's second shot have to be to reach the hole?
*Thursday, October 29, 2015 by William*

**Trig**

I need help with this application. A pier 1250 meters long extends at an angle from the shoreline. A surveyor walks to a point 1500 meters down the shoreline from the pier and measures the angle formed by the ends of the pier. It is found to be 53 degrees. What acute angle ( ...
*Tuesday, October 27, 2015 by Hutch*

**Math**

Find the exact value of the trig expression given that sin u = -5/13 and cos v = -4/5. u and v are in the second quadrant. cos(v - u)
*Sunday, October 25, 2015 by Anonymous*

**trig**

an electric hoist is used to life a piece of equipment y = 2.6 feet. the diameter on the hoist is x = 12 inches. find the number of degrees through which the drum must rotate (round to the nearest integer). *I do apologize, there is a figure in my question, but I cannot paste ...
*Wednesday, October 21, 2015 by xiahou*

**Trig**

mercury rotates around the sun in approx. 89 earth days (or 7,689,600 s. use a calculator to approximate its angular speed. choices: 4.09x10^-7 0.035 0.071 8.17x10^-7
*Wednesday, October 21, 2015 by Bill*

**Trig**

a smokestack is 190 feet high. a guy wire must be fastened to the stack 30.0 feet from the top. the guy wire makes an angle of 39.0deg with the ground. find the length of the guy wire
*Wednesday, October 21, 2015 by Struggler in math*

**Math (Trig)**

A ship leaves port at noon and has a bearing of S 25° W. The ship sails at 15 knots. How many nautical miles south and how many nautical miles west does the ship travel by 6:00 P.M.? (Round your answers to two decimal places.) Miles South? Miles West?
*Wednesday, October 21, 2015 by Rafael*

**Trig**

The width of the box is 9 inch more than its length and the height of the box is 1 inch less than its length write an expression for the volume of the box
*Thursday, October 15, 2015 by Jim*

**functions and trig**

write the transformation of X cubed if it is shifted right four units and then reflected over the X axis
*Monday, October 12, 2015 by sarah*

**physics**

The problem propmpts us with the info: "Two friends play with a card-board box on a grassy hill side. The boy in the box has a mass of 50.0 kg and the box has a mass of 5.00 kg. The incline of the hill is 44° and its height is 10 meter. Assume that friction plays a ...
*Sunday, October 11, 2015 by ana*

**trig**

given cotθ = (1/2) √7, find sinθ and cosθ in quadrant I cotθ = x/y would 1/2 be the x and √7 be the y?
*Saturday, October 10, 2015 by coco*

**trig**

1) given cotθ = 1/2√7, find sinθ and cosθ in quadrant I 2) given tanθ = √5, find secθ and cotθ in quadrant III
*Saturday, October 10, 2015 by coco*

**precalculus**

find the values of the requested trig functions using the given value and quadrant in which the point corresponding to the angle lies. quadrant II; sinθ=4/5 find cosθ and tan θ
*Saturday, October 10, 2015 by glen*

**math**

identify all of the basic trig functions that fit each description. 1) is negative for angles in the 2nd and 4th quadrant 2) is unbounded answer: tan, cot 3) has a range of -1 ≤ y ≤ 1 answer: sin, cos are my answers correct? and i'm not sure what the answer to ...
*Friday, October 9, 2015 by stewie*

**Trig**

Having completed another stimulating school day, Michael and Alyssia both leave at the same time. They walk together for a while and then go their separate ways. These paths make a 60° angle with one another. Michael toddles along at 2ft/sec, while Alyssia speeds off at ...
*Friday, October 9, 2015 by Anon*

**Physics/trig**

A fire hose ejects a stream of water at an angle of 33.6 ° above the horizontal. The water leaves the nozzle with a speed of 29.6 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire?
*Friday, October 9, 2015 by Jenna*

**trig**

1) cos^2(x)/sin^2(x) 2) tan(x)cot(x)-sin^2(x) 3) 1-sin(x)cos(x)tan(x)
*Thursday, October 8, 2015 by gen*

**Math (Trig)**

A triangle ABC has a trisected angle A. The angle trisectors divide side a (opposite angle A) into three segments which are BD, DE, and DC. The lengths are 2, 3, and 6, respectively. What are the lengths of the other sides?
*Monday, October 5, 2015 by Z*

**trig**

The angle relative to the horizontal from the top of a tree to a point 12 feet from its base(on flat ground) is 30*. Find the height of the tree.
*Wednesday, September 30, 2015 by rita*

**calculus**

1. what trig function has an amplitue of 1 and negative values for angles between π/2 and π? 2. what trig function never crosses the x-axis and has a value of 2 at π/6? are these correct? 3. what trig function has a period of π and is undefined for -π/...
*Monday, September 28, 2015 by anon*

**trig**

A skateboard wheel has a radius of 2.08 inches and is turning at a rate of 945 rpm. a. what is the angular speed in radians per second? in degrees per second? b. how fast is the skateboard traveling (in miles per hour)?
*Saturday, September 26, 2015 by Mohamad*

**Precalc**

Identify all of the trig functions that fit each description: 1. Has a amplitude of 1 2. Is discontinuous at odd multiples of π/2 3. Is continuous at odd multiples of π/2 4. Has sin x as a denominator value 5. Is completely bounded 6. Has the exxact same value at &#...
*Tuesday, September 22, 2015 by Anon*

**Trigonometry **

find the value for the indicated trig function for ø, if ø is an angle in standard position with the terminal side defined by the given point. (18,24); find cos ø
*Tuesday, September 22, 2015 by Kimmy*

**Trig**

The foot of a ladder is on level ground 1.5m from a wall. The ladder leans agents the wall. The angle formed by the ladder and the ground is 70 degrees. Calculate how high up the wall the ladder reaches.
*Tuesday, September 15, 2015 by Emily*

**trig **

If each leg has length 5 meters, what are the lengths of the other leg and the hypotenuse
*Thursday, September 10, 2015 by drake *

**Math Trig**

A plane's flight path called for it to fly from J to W. W is 200kms due North and 500kms due west of J. Draw a coordinate picture. What bearing will the pilot fly and what distance will he or she go in air kilometers?
*Monday, September 7, 2015 by K*

**Physics/trig**

During takeoff, an airplane climbs with a speed of 300 m/s at an angle of 36 degrees above the horizontal. The speed and direction of the airplane constitute a vector quantity known as the velocity. The sun is shining directly overhead. How fast is the shadow of the plane ...
*Thursday, September 3, 2015 by Jenna*

**Trig**

Evaluate the following expression: sin(cos^-1(12/13)) tan(sin^-1(3/5)) I do not know what the inverse values would be...how would I work through this?
*Wednesday, August 26, 2015 by Lillian*

**Trig**

Find all solutions of the equation in the interval [0,2pi). 2sin theta+1=0. Write answer in radians in terms of pi.
*Wednesday, August 19, 2015 by James*

**Trig**

cos 13 pi = ?
*Saturday, August 8, 2015 by Anonymous*

**math trig **

Solve for x if 3sin2x - 3sinx = 2 - 4cosx 0<x<180
*Tuesday, August 4, 2015 by ntsoaki*

**trig**

If sinx=3 cosx, then what is sinx∙cosx?
*Thursday, July 30, 2015 by Alexa*

**Trig**

Solve, algebraically or with justification (no graphing calculator solutions allowed), the following equation: tan7x-sin6x=cos4x-cot7x
*Thursday, July 30, 2015 by Alecs*

**Trig**

What is the value of tanx given that sinx+cosx=1/5 and π/2<x<π ?
*Thursday, July 30, 2015 by Erikhelp*

**Trig**

Algebraically find the value of: 10 cot(cot^(-1)3+cot^(-1)R89;7+cot^(-1)13+cot^(-1)21 )
*Thursday, July 30, 2015 by Erikhelp*

**Trig**

Write an algebraic expression for the following: sin(arctan〖(x+1)/(x-1)〗 )
*Thursday, July 30, 2015 by Alexa*

**Trig**

Prove the identity: (sin(2x-y)+siny)/(cos̼9;(2x-y)+cosy )=tanx
*Thursday, July 30, 2015 by Alexa*

**trig**

The hypotenuse of a right triangle has length 8. The area of the triangle is also 8 units squared. What is the perimeter of the triangle?
*Wednesday, July 29, 2015 by Alexa*

**trig**

what is terminal point of 5pi/4?
*Tuesday, July 28, 2015 by KLL*

**trig**

A road has a 10% grade (slope). To the nearest degree what is the angle of elevation of the road?
*Tuesday, July 14, 2015 by Lake*

**Maths trig**

Sketch the graphs of f(x)=3overx+1 and g(x)=-2x-4 on the same set of axes
*Wednesday, June 17, 2015 by Lulu*

**Maths trig**

Sketch the graphs of f(x)=3overx+1 and g(x)=-2x-4
*Wednesday, June 17, 2015 by Lulu*

**trig**

Help with simplest form sin(2pift - pi) + sin(2pift + pi)
*Tuesday, June 16, 2015 by sheree*

**trig**

A radio transmission tower is 471.0 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23.1 degrees with the ground? How many feet long should the guy wire be? I am confused on how to find the equation for this problem so that I may work it ...
*Tuesday, June 16, 2015 by Coaco*

**Trig/ algebra 2**

if f(x) = sin4x-cos2x, find f(pi/8)
*Wednesday, June 10, 2015 by Mika*

**Trig/Geometry**

Wendy spots a pizza delivery car as she is looking down at a 15° angle from the top of her apartment building, which is 145 ft tall. How far away is the car from the base of the building? Round to the nearest hundredth. A. 45.98 ft B. 3.56 ft C. 38.85 ft D. 68.78 ft I keep...
*Thursday, May 28, 2015 by Rothko*

**trig**

An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the northwest at 50 km/hr. how many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground? So here is my work... 50cos(45)+500= 535....
*Thursday, May 28, 2015 by Dan*

**Trig**

Find sin2theta, cos2theta, and tan2theta for costheta = -12/13 in pi < theta < 3pi/2. My answers: 20111/24336 for tan2theta. 144/169 for cos2theta -120/338 for sin2theta
*Wednesday, May 20, 2015 by Anonymous*

**Trig**

For 90<theta<180, cos theta = -(5/13). Which is sin theta? 1. - sqrt 13/9 2. - sqrt 9/13 3. sqrt 9/13 4. sqrt 13/9 3?
*Wednesday, May 20, 2015 by Anonymous*

**Trig**

Which is cos2 theta if sin theta = -2/sqrt13 and 180 < theta < 270? 1. -(13/5) 2. -(5/13) 3. 5/13 4. 13/5 3?
*Wednesday, May 20, 2015 by Anonymous*

**algebra 2 and trig**

The scores on a chemistry test are normally distributed. Approximately 95 percent of the scores fell between 78 and 92. What is the standard deviation for this distribution?
*Monday, May 18, 2015 by caroline*

**Trig**

Solve each equation for the given domain. cos^2 theta + cos theta - 1 = 0 for 0-180.
*Saturday, May 16, 2015 by Anonymous*

**Trig**

Solve the equation for the given domain. 4cos^2 θ = 1 for 0 to 360 degrees. I get 60, 120, 240, and 300. Are these correct? If so, how would I represent them with some sort of expression?
*Saturday, May 16, 2015 by Anonymous*

**Trig Identities**

Prove the following identities: 13. tan(x) + sec(x) = (cos(x)) / (1-sin(x)) *Sorry for any confusing parenthesis.* My work: I simplified the left side to a. ((sinx) / (cosx)) + (1 / cosx) , then b. (sinx + 1) / cosx = (cos(x)) / (1-sin(x)) I don't know how to verify the ...
*Tuesday, May 12, 2015 by Taylor *

**Trig identities**

Sin x/[1-cos(-x)] = csc x + cot x Please Verify the Identity. I have been going in circle with this one... Just a hint would be nice. Thank you.
*Tuesday, May 12, 2015 by Ryan*

**trig**

a vertical pole 35 feet high, standing on sloping ground, is braced by a wire which extends from the top of the pole to a point on the ground 25 feet from the foot of the pole. If the pole subtends an angle of 30 degree at the point where the wire reaches the ground, how long ...
*Sunday, May 10, 2015 by thrish*