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January 28, 2015

January 28, 2015

**Recent Homework Questions About Trigonometry**

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**trig**

establish identity 5csc^2theta-3cot^2theta=2csc^2theta+3
*Friday, July 13, 2012 at 10:00pm*

**trig**

Solve the equation on the interval [0,360) cos^2t+2cos(t)+1=0
*Thursday, July 12, 2012 at 10:51am*

**trig**

Find all solutions in the interval [0,360) sin(4t)=ã3/2
*Thursday, July 12, 2012 at 10:49am*

**TRIG**

A WORKER PRESENT SALARY IS 24 PER ANNUM HIS ANUAL INCREMENT IS 10% OF HIS BASIC SALARY WAT WUD BE HIS ANNUAL SALARY AT THE BEGINNIN OF THE THIRD YEAR
*Wednesday, July 11, 2012 at 10:27am*

**TRIG**

Given that tan¤=3/4 and ¤ is in the second quadrant find sin2¤ (¤=theta)
*Wednesday, July 11, 2012 at 10:17am*

**TRIG**

Given that tan¤=3/4 and ¤ is in the second quadrant find sin2¤ (¤=theta)
*Wednesday, July 11, 2012 at 10:17am*

**trig**

determine the amplitude,period and phase shift of y=-2cos(pix-3)
*Wednesday, July 11, 2012 at 12:19am*

**Airplane trig question**

An airplane, flying at a speed of 420 miles per hour, flies from point A in the direction 131 degrees for 90 min. and then flies in the direction 41 degrees for 30 min. in what direction does the plane need to fly in order to get back to point A?
*Tuesday, July 10, 2012 at 7:34pm*

**Trig**

find all solutions to the equation √3 csc(2theta)=-2 Would the answer be π/6 + 2πn, 5π/6 +2πn or π/6 + πn, 5π/6 +πn? or neither?
*Tuesday, July 10, 2012 at 7:30pm*

**trig**

sin t /1-cos t - 1+ cos t/sin t= 0
*Tuesday, July 10, 2012 at 5:24pm*

**trig**

Prove sin 1 cos 1 cos sin 0 1. Show each step of your proof. 2. Provide written justification for each step of your proof. C. If you use sources, include all in-text citations and references in
*Tuesday, July 10, 2012 at 5:22pm*

**Trig**

Given y=2-4cos(3x-pi/4), find each of the following, giving the general representation of the location of all minimums. Also provide the graph of two full cycles, labeling everything. Domain = Range = Amplitude = Period = Ph. Shft. = Interval for one Complete cycle = ...
*Monday, July 9, 2012 at 4:24pm*

**Trig/Precal**

An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?
*Friday, July 6, 2012 at 7:37pm*

**Alg/Trig**

Write an equation of a circle with center (2, 3) and radius 4.5.
*Friday, July 6, 2012 at 1:13pm*

**trig HELP**

A barn is 30ft. wide by 60ft long; the rafters make an angle of 40degrees with the horizontal. Find the area of each of the two gable ends and the area of the roof. Please Include Solution And If Possible An Illustration. Thank You In Advance :)
*Thursday, July 5, 2012 at 9:51am*

**Algebra & Trig**

at a throwing speed pf 12.2 meters per seconds,what is the angle that produce a distance of 13 meters
*Wednesday, July 4, 2012 at 6:24pm*

**Algebra & Trig**

calculate the velocity of 10 meters per second with an angle of 30 degrees
*Wednesday, July 4, 2012 at 6:20pm*

**trig**

determine the period of y = tan 2x
*Wednesday, July 4, 2012 at 10:47am*

**trig**

Find the radius of a circle which a 59-foot chord subtends an angle of 12degrees at the center. I Just Want To See The Illustration. I Can Handle The Rest. Thank You In Advance =)
*Tuesday, July 3, 2012 at 9:51am*

**trig**

using a right triangle with one angle 24 degrees and the opposite side being 57 feet, write an expression to fine the hypotenuse, X? X=57/sin(24) is this correct?
*Friday, June 29, 2012 at 11:47pm*

**trig**

a circular chimney pipe with an 8-inch diameter passes vertically from a heater through a metal plate in the roof. the plate has an elliptical hole that measures 8 inches along one axis. if the roof is slanted at an angel of 40 degrees with the horizontal, what is the length ...
*Friday, June 29, 2012 at 6:22pm*

**trig**

If tan A = 2 and A belongs to [pie,3pie/2] then the expression cos A divided by sin cubed A +cos cubed A is equal to what?
*Friday, June 29, 2012 at 12:41pm*

**trig**

the horizontal speed of an airplane is 173 miles per hour. the magnitude of the planes velocity is 200 miles per hour. what angle is the plane climbing? My answer is Cos-1 173/200. is this correct
*Friday, June 29, 2012 at 9:38am*

**trig**

A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 800 centimeters tall?
*Thursday, June 28, 2012 at 8:10am*

**trig**

sec8A-1/sec4A-1=tan8A/tan2A
*Wednesday, June 27, 2012 at 12:53pm*

**Trig**

From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is 51°30'. Approximate the height of ...
*Tuesday, June 26, 2012 at 11:14pm*

**trig**

explain how you will find the coordinate of P(14pi/3) if you knew the coordinate of P(pi/3)
*Sunday, June 24, 2012 at 3:09am*

**trig**

given cot-A square root of 5, find cot-B at the 4th quadrant.
*Saturday, June 23, 2012 at 9:10pm*

**Trig**

Sketch the graph through at least one complete cycle. Label the axes on the coordinate plane. Use your graph to predict the height of point P above the surface of the water when the stopwatch shows 7 seconds. Round to the nearest tenth of a foot. (Enter only the number.)
*Thursday, June 21, 2012 at 6:11pm*

**Trig**

P was at its maximum after 5 seconds. Use this information to write the value of the last constant, h. (If the value is a fraction, use a slash to separate the numerator from the denominator without spaces, such as 3/4.)
*Thursday, June 21, 2012 at 6:09pm*

**Trig**

Since the center is 6 feet above the water, the horizontal line of symmetry of the sine curve will be 6 units above the x-axis. This information helps you find the value of vertical shift. Write its value.
*Thursday, June 21, 2012 at 5:15pm*

**Trig**

Jessica attains a height of 4.7 feet above the launch and landing ramps after 1 second. Her initial velocity is 25 feet per second. To find the angle of her launch, which equation can you use with the given information to solve for θ? (Answer: 1 or 2). Use the equation ...
*Thursday, June 21, 2012 at 5:02pm*

**trig**

A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above the ground. The angle formed between the wire and the ground is 40° (see figure). (Round your answers to one decimal place.)
*Wednesday, June 20, 2012 at 3:46pm*

**trig**

Two forces of 5 lb. and 14 lb. act on a body at right angles to each other. Find the angle their resultant force makes with the force of 14 lb
*Wednesday, June 20, 2012 at 1:50pm*

**trig**

A roadway rises 55ft in horizontal distance of 1/2 mile (1mile=5280ft) Find the tangent of the angle that it makes with the horizontal.
*Tuesday, June 19, 2012 at 12:26pm*

**trig**

Give the component form of the resultant vector in the following. NOTE: Answer must be typed in using the following format -- including the parentheses: (#,#). u =(10, 5) -3u=
*Friday, June 15, 2012 at 11:15am*

**trig**

A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet. (Answer to the nearest foot.)
*Thursday, June 14, 2012 at 12:59pm*

**trig**

Use a table of trigonometric values to find the angle è in the right triangle in the following problem. Round to the nearest degree, if necessary. cos è =0.9659 A=? H=20
*Wednesday, June 13, 2012 at 4:44pm*

**Trig**

Find sin2theta, cos2theta if csctheta=13/12 and lies in quadrant II. Thank you!
*Wednesday, June 13, 2012 at 2:06am*

**Trig **

The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 16 inches, what is the length of the base?
*Monday, June 11, 2012 at 6:15pm*

**trig/math**

Determine the period, amplitude and phase shift for each given function: A)y = -4 cos 3x + 5 B)y = 2/3 sin (30x-90)-10 c)y = -0.38 tan (x/3+pi/3) d)y = pi cos(2x)+ pi
*Monday, June 11, 2012 at 5:17pm*

**Math/Trig**

How would I evaluate these trig functions without using a calculator? U: sin(-13π/6) cot 11π/6 cot(-14π/4) sec 23π/6 Thanks in advance ^^; and if you'd tell me step by step on how to do problems like these I'd be grateful :D
*Monday, June 11, 2012 at 5:03am*

**Calculus**

integral of cscx^(2/3)(cot^3)x i know that cot^2x is csc^2(x)-1, but i just don't understand how to solve the cscx^(2/3), any help? i also know that its trig integrals/substitution...
*Sunday, June 10, 2012 at 12:05pm*

** trig**

A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of elevation is 36 degrees. From a distance of 150 feet on the other side of the mountain, the angle of elevation is 47 degrees...
*Wednesday, June 6, 2012 at 1:36pm*

** trig**

A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of elevation is 36 degrees. From a distance of 150 feet on the other side of the mountain, the angle of elevation is 47 degrees...
*Tuesday, June 5, 2012 at 8:07pm*

**trig.**

How is it that sin90 is negative?
*Wednesday, May 30, 2012 at 9:35pm*

**trig**

solve equation for the exact solutions if possible put answer in degrees. 2tanx/3-tan^2x=1
*Wednesday, May 30, 2012 at 7:04am*

**trig**

solve equation for exact solution if possible leave answer in degree sinx/2=square root of 2- sinx/2
*Wednesday, May 30, 2012 at 6:59am*

**Trig**

The first 40 rows of seating in a certain section of a stadium have 25 seats, 28 seats, 31 seats, and so on. The 41st through the 75th rows each contain 125 seats. Find the total number of seats in this stadium section.
*Wednesday, May 30, 2012 at 12:18am*

**trig**

1) Use double-angle identities to write the following expression, using trigonometric functions of x instead of 4x. cos 4x 2) Use half-angle identities to write the following expression, using trigonometric functions of x instead of x/4. sin x/4
*Monday, May 28, 2012 at 11:36pm*

**trig**

AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB=50° (a) the length BC (b) The size of angle ABC; (c) The size of angle CAD (d) The area of triangle ACD
*Sunday, May 27, 2012 at 5:08pm*

**trig**

An electric pole is supported to stand vertically on a level ground by a tight wire. The wire is pegged at a distance of 6 meters from the foot of the pole. The angle that the wire makes the ground is three times the angle it makes with the pole.
*Sunday, May 27, 2012 at 4:35pm*

**trig**

plot of land ABCD such that AB = 85m, BC = 75m, CD = 60m, DA = 50m and angle ACB = . Determine the area of the plot in hectares correct to two decimal places
*Sunday, May 27, 2012 at 4:33pm*

**algebra 2/trig**

x+5 1 ------- - 1= ------- x^2-2x x^2-2x
*Sunday, May 27, 2012 at 1:23pm*

**Calc- Trig Substitution **

integral of dx/square root(x^2-64) My answer is: ln (x/8 + square root(x^2-64)/8) +c is this right?
*Friday, May 25, 2012 at 2:23am*

**trig**

Solve cos x-1 = sin^2 x Find all solutions on the interval [0,2pi) a. x=pi, x=pi/2, x= 2pi/3 b. x=3pi/7, x=pi/2, x=2pi/3 c. x=3pi/7, x=3pi/2, x=3pi/2 d. x=pi, x=pi/2, x=3pi/2
*Wednesday, May 23, 2012 at 11:12pm*

**trig**

evaluate the expression tan (257pi/4) a.-1 b. -(sqrt2)/2 c. 1 d. (sqrt2)/2
*Wednesday, May 23, 2012 at 9:44pm*

**trig**

A tree casts a shadow of 27 meters when the angle of elevation of the sun is 26 degrees. Find the height of the tree to the nearest meter. a. 24 m b. 15 m c. 320 m d. 13 m
*Wednesday, May 23, 2012 at 9:40pm*

**trig**

a voltmeter's pointer is 3 cm in length. find the degrees through which is rotates when it moves 1.1 cm on the scale?
*Wednesday, May 23, 2012 at 11:11am*

**trig**

6. Compute the modulus and argument of each complex number. I did a-c and f. D. -5 E. -5+5i G. -3-4i 7. Let z= -5sqrt3/2+5/2i and w= 1+sqrt3i a. convert z and w to polar form b. calculate zw using De Moivres Theorem c. calculate (z/w) using De M's theorem Please help with ...
*Wednesday, May 23, 2012 at 12:41am*

**trig**

Find all solutions of cos 2x + √2/2 =0. a) + or - 3/8pi +Kpi b) 2/3pi + Kpi, 5/3pi + Kpi c) + or - 2/5 +Kpi d) 2/3 pi + 2Kpi, 5/3pi + 2Kpi I really need help on this question :(
*Tuesday, May 22, 2012 at 11:27pm*

**Trig**

what are the rectangular coordinates of (-2(pi/6))? please help.
*Tuesday, May 22, 2012 at 11:25pm*

**math trig**

ln(2x-5)= 4 how do i this problem? thanks!
*Monday, May 21, 2012 at 10:45pm*

**TRIG**

I need to state the period and 2 consecutive asymptotes on the graph for the following questions. 1: y = -3 tan pi*x period: pi (?) asymptotes: ? 2: y = 2 sec 4x period: ? asymptotes: ? 3: y = csc (x/3) period: ? asymptotes: ? 4: y = 3 cot (pi*x/2) period: ? asymptotes: ?
*Monday, May 21, 2012 at 6:03pm*

**graphing trig functions**

given y=(3x+2pi) how would i graph one period this without a calculator? amplitude:1 period: 2pi/b = 2pi/3 is this correct? what is the minimum and maximum points?
*Sunday, May 20, 2012 at 10:15pm*

**trig**

how can you find points of a tri equation at orgin 1/4, 1/2, 3/4, and end of the period
*Sunday, May 20, 2012 at 9:53pm*

**Trig**

Find two values of theta that satisfy the equation. give your answers in degrees (0degrees <theta<360degrees ) and radians (0<theta<2pi) a. sin θ= sqrrt3/2 b.sin θ= - sqrrt3/2
*Saturday, May 19, 2012 at 10:44pm*

**Trig**

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.? Radius, r=16 ft Arc length, s=10 ft
*Friday, May 18, 2012 at 12:51pm*

**graphing trig functions**

for graphing basic trig functions such as y=2sinx or y=1/3cosx, how do you know what the points are to graph with out using a calculator?
*Friday, May 18, 2012 at 12:31am*

**trig**

write sin4xcos2 as the sum or difference of two functions. answers: 1/2(cos6x+cos2x), 1/2(cos2x-cos6x), 1/2(sin6x+sin2x), sin6x-sin2x
*Thursday, May 17, 2012 at 9:38pm*

**trig**

write sin4xcos2 as the sum or difference of two functions. answers: 1/2(cos6x+cos2x), 1/2(cos2x-cos6x), 1/2(sin6x+sin2x), sin6x-sin2x
*Thursday, May 17, 2012 at 7:18pm*

**trig**

find the angle between vector U=<2,3> and V=<1,-5> answers: 88 degrees, 45 degrees, 135 degrees, or 92 degrees...?
*Thursday, May 17, 2012 at 7:13pm*

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Please help, thank you!
*Thursday, May 17, 2012 at 7:10pm*

**trig**

write y=sinx-cosx in the form y=ksin (x+a), where the measure of a is in radians. answers: sqrt2sin (x+3pi/4), sqrt2sin (x+5pi/4), sqrt2sin (x+pi/4), or sqrt2sin (x+7pi/4) ...?
*Thursday, May 17, 2012 at 6:49pm*

**trig**

write sin4xcos2 as the sum or difference of two functions. answers: 1/2(cos6x+cos2x), 1/2(cos2x-cos6x), 1/2(sin6x+sin2x), sin6x-sin2x
*Thursday, May 17, 2012 at 6:42pm*

**trig**

Write an equation for simple harmonic motion, given that the amplitude equals 4 inches and the period equals 2 seconds and the max displacement occurs when t=0. answers: y=4sin pi t, y=4cos pi t, y=4cos t, y=4sin2 pi t
*Thursday, May 17, 2012 at 6:24pm*

**trig**

an angle with the radian measure of 9pi/5. find radian measure of its reference angle. answers: -4/5, 4pi/5, -pi/5, or pi/5
*Thursday, May 17, 2012 at 6:21pm*

**trig**

what is the exact value of sin[tan^-1(2/3)]
*Thursday, May 17, 2012 at 6:19pm*

**trig**

U=5i+11j and V=2i-3j, find 2U-7U
*Thursday, May 17, 2012 at 5:02pm*

**trig**

write 2+2 squareroot of 3i in trig form.
*Thursday, May 17, 2012 at 5:01pm*

**trig**

find the angle between vectors U= <2,3> and V= <1, -5>
*Thursday, May 17, 2012 at 4:53pm*

**trig**

a vector has a magnitude of 16 and direction of 120 degrees. write the vector in terms of unit vecotrs i and j.
*Thursday, May 17, 2012 at 4:52pm*

**trig**

what is the magnitude and direction of the vector U= -2i - 3j
*Thursday, May 17, 2012 at 4:50pm*

**trig**

write y=sinx-cosx in the form y=ksin (x+a), where the measure of a is in radians.
*Thursday, May 17, 2012 at 4:48pm*

**trig**

solve 2cos^2x-sinx=1, 0 < or equal to x < 2pie
*Thursday, May 17, 2012 at 4:47pm*

**trig**

write sin4xcos2 as the sum or difference of two functions.
*Thursday, May 17, 2012 at 4:45pm*

**trig**

what's the single trig. function of cos6xcosx-sin6xsinx
*Thursday, May 17, 2012 at 4:44pm*

**trig**

Given sin a = 15/17 with a in Quadrant I and cos beta = 4/5 with beta in QuandrantIV, find the exact value of cos(a+beta)
*Thursday, May 17, 2012 at 4:43pm*

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
*Thursday, May 17, 2012 at 2:51pm*

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
*Thursday, May 17, 2012 at 2:51pm*

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
*Thursday, May 17, 2012 at 2:50pm*

**trig**

what is the amplitude, phase shift, and period of -3sin(2t- pie/3)
*Wednesday, May 16, 2012 at 10:56pm*

**trig**

on a triangle, A = 50 degrees, B = 81 degrees, and c = 12. what does a, b, and C equal?
*Wednesday, May 16, 2012 at 10:54pm*

**trig**

inverse tan x = inverse cos 4/5
*Wednesday, May 16, 2012 at 9:35pm*

**trig**

A wheel rotates at 100 revolutions per second. find the angle velocity in radians per second.
*Wednesday, May 16, 2012 at 9:32pm*

**trig**

find the single term of cos^2 4theta - sin^2 4theta
*Wednesday, May 16, 2012 at 9:23pm*

**trig**

find the period of f(x)=-2cot x/5
*Wednesday, May 16, 2012 at 9:21pm*

**trig**

what is the single term of csc^2 theta-1 over csc^2 theta
*Wednesday, May 16, 2012 at 9:15pm*

**trig**

what is the angle of A? C = 125 degrees, a = 18, and c = 42
*Wednesday, May 16, 2012 at 9:11pm*

**trig**

find the supplimentary angle of pie over 8
*Wednesday, May 16, 2012 at 8:45pm*

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