# Homework Help: Math: Trigonometry

## Recent Homework Questions About Trigonometry

**trig**

simplify (1-cot^2x sec^2x) / ( cot^2x)

*Thursday, January 16, 2014 by Lola*

**trig**

simplify (1-cot^2x sec^2x) / ( cot^2x)

*Thursday, January 16, 2014 by Lola*

**Trig**

Solve triangle ABC given the following conditions: 1. C = 135.77 deg, b = 10cm, a = 12cm 2. a = 11.5m, b = 10m, c = 16.94m

*Wednesday, January 15, 2014 by Ashley Kate*

**TRIG help quickly please**

Mark any solutions to the equation 2cos2x - 1 = 0. The answer can be more than one. Thank you π/8 -7π/4 15π/4 3π/4

*Tuesday, January 14, 2014 by Greg*

**TRIG,**

Can you solve and show me the work in these two equations? cos(3x)=-1 tan (theta)=-1

*Sunday, January 12, 2014 by Sarah*

**trig**

write a formula f*g*h when f(x)=x+1, g(x)=3x, h(x)=4-x

*Sunday, January 12, 2014 by sabrina*

**trig**

A pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. What should be his angle of elevation to the nearest tenth?

*Wednesday, January 8, 2014 by Reg*

**trig**

Two Airplanes leave an airport at the same time on different runways. One flies on a bearing of N66degreesW at 325 miles per hour. The other airplane flies on a bearing öf S26degreesW at 300 miles per hour. How far apart will the airplanes be after 2 hours?

*Monday, January 6, 2014 by nina*

**algebra 2 trig**

if log3=a then log300 can be expressed as? 1) 100a 2)a+2 3)100+a 4)3a

*Saturday, January 4, 2014 by nikki*

**trig**

From a tower 57 ft high two objects in a straight line from it are sighted at angles of depression of 27degrees and 40degrees5' respectively. Find the distance between the two objects.

*Thursday, January 2, 2014 by renzkie*

**trig**

A lighthouse is 14 miles east of a dock. A ship sails N33degreesE from the dock. What will be its bearing from the lighthouse after having sailed 10 miles?

*Thursday, January 2, 2014 by renzkie*

**trig**

Illustrate and solve. A monument near a dock is 12 miles east of a ship. After the ship has sailed 7 miles, the monument bears N62degreesE. In what direction is the ship sailing?

*Thursday, January 2, 2014 by renzkie*

**trig**

A plane flies 75 miles south from an airfield, and then travels 120 miles more in a different direction. By this time it bears S29degreesE of the airfield. In what direction is it heading. illustrate and solve.

*Thursday, January 2, 2014 by renzkie*

**trig**

The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 30degree and 60degree respectively. find the height of the tower

*Saturday, December 28, 2013 by Arun*

**3-D Coordinates Polar coordinates Precalculus Trig**

The U.S.S. Lollipop is on assignment in the Atlantic Ocean. It travels from a longitude of 70 degrees west to 20 degrees west, along the latitude of 40 degrees north. How far does it travel? (Assume that the radius of the Earth is 6,400 km.) Erm I don't know how to solve this...

*Wednesday, December 18, 2013 by Cambridge*

**Please help trig proof**

((cotx+cscx)/(sinx+tanx))=cotxcscx Please prove left side equal to right side, only doing doing work on the left.

*Monday, December 16, 2013 by Potterhead*

**Simplifying trig expression**

sin(x+90) = ? cos(x+90) = ? Would the first equal like -sin(x)? Would the second equal uh -cos(x)? I'm not quite sure :/

*Monday, December 16, 2013 by bob*

**Math - Trig**

From the foot of a building I have to look upwards at an angle of 22degrees to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50degrees to look at the top of the tree. a. How tall is the tree...

*Saturday, December 14, 2013 by McKenna Louise*

**Math - Trig**

An observer on the ground at point A watches a rocket ascend. The observer is 120 feet from the launch point B. As the rocket rises, the distance d from the observer to the rocket increases. a. Express the measure of angle A in terms of d. b. Find the measure of angle A if d...

*Saturday, December 14, 2013 by McKenna Louise*

**trig**

Juana and Diego Gonzales, ages six and four respectively, own a strong and stubborn puppy named Corporal. It is so hard to take Corporal for a walk that they devise a scheme to use two leashes. If Juana pulls with a force of 23 lbs at an angle of 18° and Diego pulls with a ...

*Thursday, December 12, 2013 by J*

**math - trig**

The airport meteorologists keep an eye on the weather to ensure the safety of the flights. One thing they watch is the cloud ceiling. The cloud ceiling is the lowest altitude at which solid cloud is visible. If the cloud ceiling is too low the planes are not allowed to take ...

*Thursday, December 12, 2013 by Shelley Nicole*

**math - trig**

A submersible traveling at a depth of 250 feet dives at an angle of 15º with respect to a line parallel to the water’s surface. It travels a horizontal distance of 1500 feet during the dive. What is the depth of the submersible after the dive?

*Thursday, December 12, 2013 by Shelley Nicole*

**math - trig**

The tallest television transmitting tower in the world is in North Dakota, and it is 2059 feet tall. If you are on level ground exactly 5280 feet (one mile) from the base of the tower, what is your angle of elevation looking up at the top of the tower?

*Thursday, December 12, 2013 by Shelley Nicole*

**Math - Trig**

From the foot of a building I have to look upwards at an angle of 22° to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50° to look at the top of the tree. a. How tall is the tree? b. How ...

*Thursday, December 12, 2013 by Shelley Nicole*

**Math: Trig**

Help with vectors, please. Thanks 1) Express point in rectangular form. Give EXACT answer, if possible? (2, 4π /11) 2) Given P = (2. -3) and Q = (-3, -4). find the component form of vector PQ 3) The vector v has a magnitude of 25 inches and a direction of 32° , Express ...

*Tuesday, December 10, 2013 by Lilly*

**Trig**

Sum and diffence formula Finding Exact value of Tan 105-Tan 10)-15)/1+ tan(105)Tan(-15)

*Monday, December 9, 2013 by Jacob*

**trig**

prove that: sinC+sinD =2sin((C+D)/2)*cos((C-D)/2)

*Sunday, December 8, 2013 by celina*

**trig**

Points X, Y, and Z are on the circumference of a circle with radius 2 such that <YXZ = 45 degrees and <XZY = 60 degrees. Find the area of triangle XYZ.

*Saturday, December 7, 2013 by Anonymous*

**Trig**

To avoid a steep descent, an airplane flying at 10,000m starts its descent 60km away from the airport. For the angle of descent to be constant, at what angle should the plane descend?

*Saturday, December 7, 2013 by Shelley Nicole*

**Trigonometry/Geometry - Inequalities**

Let a, b, and c be positive real numbers. Prove that sqrt(a^2 - ab + b^2) + sqrt(a^2 - ac + c^2) is greater or equal to sqrt(b^2 + bc + c^2). Under what conditions does equality occur? That is, for what values of a, b, and c are the two sides equal? This looks like a geometry...

*Saturday, December 7, 2013 by Sam*

**Math-Trig**

1. To avoid a steep descent, an airplane flying at 10 000 m starts its descent 60km away from the airport. For the angle of descent to be constant, at what angle should the plane descend? 2. A flagpole that is 20m high casts a shadow that is 18m long. What is the angle of ...

*Thursday, December 5, 2013 by McKenna Louise*

**Math - Trig**

1. When you look down from the top of a building at an angle of 63degrees, you will see a man reading a newspaper. If the building is 50m high, how far is the man from the building? 2. A plane takes off at an angle of 15deg20'. How high will it have risen after it has flown a ...

*Thursday, December 5, 2013 by McKenna Louise*

**Trig-Weird Geometry Problem**

Determine all triangles ABC for which tan(A-B)+tan(B-C)+tan(C-A)=0. There's a hint: "Can you relate A-B to B-C and C-A?" Should I apply the tangent difference formula (tan(x-y))? Help would be appreciated, thanks.

*Thursday, December 5, 2013 by Sam*

**Advanced Functions/Precalculus**

Trigonometry Questions 1.) Find the exaqct value of tan(11π/12) 2.) A linear trig equation involving cosx has a solution of π/6. Name three other possible solutions 3) Solve 10cosx=-7 where 0≤x≤2π

*Wednesday, December 4, 2013 by john*

**Math-Trig**

A helicopter hovers 105 m above the end of an island. If the angle from the helicopter down to the other end of the esland is 13deg30', find the length of the island.

*Wednesday, December 4, 2013 by McKenna Louise*

**Math - Trig**

1. From a point 15m from the base of a tree, the angle of elevation of the top of the tree is 46.48degrees. Approximate the height of the tree. 2. From a point 17.2m from the base of a building, the angle of elevation of the top of the building is 73.5degrees. Aproximate the ...

*Wednesday, December 4, 2013 by McKenna Louise*

**trig**

find cos(θ)ˏsin(θ)ˏtan(θ), if cot (2θ)=5/12 with 0≤2θ≤π Answer this Que

*Wednesday, November 27, 2013 by Anonymous*

**trig.**

a person standing 100ft. from the base of the tree looks up to the top of the tree with an angle of elevation of 52. assuming that the persons eyes are 5ft above ground the ground how tall is the tree?

*Wednesday, November 27, 2013 by maria*

**Math - Trig**

1. Given that points S and R on opposite sides of a lake, triangle SRT is formed. To find the distance RS across the lake, a surveyor lays off RT = 53.1 m, with angle T = 32deg 10' and anagle S = 57deg 50'. Find length RS.

*Wednesday, November 27, 2013 by McKenna Louise*

**Math - Trig**

1. Find the altitude of an isocles triangle having base 184.2 cm if the angle opposite the base is 68deg 44' 2. A 13.5m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the top of the fire truck) if the ladder makes an angle ...

*Wednesday, November 27, 2013 by McKenna Louise*

**Trig-Geometry - Law of sines and cosines**

Hello everyone, I've been struggling on this problem for quite some time. It would be appreciated if you could help. Thanks. (The website is the diagram, it is a screenshot) In the diagram below, triangle ABC has been reflected over its median AM to produce triangle AB'C'. If ...

*Sunday, November 24, 2013 by Sam*

**Trig/Precalc**

a lamp post that is 8 feet high casts a shadow 5 feet long. how tall is the person standing beside the lamp post if his shadow is 3.5 feet long

*Sunday, November 24, 2013 by Marusa*

**Trig-Medians and law of cosines and sines**

In triangle ABC, we have AB=3 and AC=4. Side BC and the median from A to BC have the same length. What is BC? Not making sense to me, I think the answer must be simple, but I don't know how to solve I applied the law of sines but to no avail. Help is appreciated, thanks.

*Wednesday, November 20, 2013 by Sam*

**Trig**

sin^2(34)+sin^2(48)+sin^2(56)+sin^2(42)

*Tuesday, November 19, 2013 by Cam*

**Trig - Law of sines and cosines**

ABC is an equilateral triangle with side length 4. M is the midpoint of BC, and AM is a diagonal of square ALMN. Find the area of the region common to both ABC and ALMN. I drew the diagram but I don't know how to find the answer? I think it has something to do with the law of ...

*Tuesday, November 19, 2013 by Sam*

**Trig**

sqrt(100+(10cotx)^2)

*Tuesday, November 19, 2013 by Cam*

**Calculus**

1) The period of a trig. function y=sin kx is 2pi/k. Then period of y=sin^2(pi.x/a) should be 2pi/(pi/a)=2a, but somewhere it is given as a. Which is correct? 2) The period of r=sin^3(theta/3) is given as 3pi. How is it worked out? Is it because after theta=0, the function ...

*Monday, November 18, 2013 by Anonymous*

**Trig**

2 vectors act on a bolt. vector 1(1200/70 degrees) vector 2(900/205 degrees) then E = ? must show work!

*Friday, November 15, 2013 by Stone*

**Trig**

Plane leaves airport with heading of 110 degrees at 300 mph, the wing out of the southwest is 42 mph. locate the plane after 4 hours? find the distance back to airport and angle from due east?

*Friday, November 15, 2013 by Stone*

**Trig**

2 vectors act on a bolt. vector 1(1200/70 degrees) vector 2(900/205 degrees) then E = ? must show work!

*Friday, November 15, 2013 by Stone*

**Algebra 2 Trig - Probability Question**

help solving a probability problem: probability that a person taking a survey is male "given" that he preferred a European automobile if 112 males prefer european autos out of 188, and 216 of a total of 452 individuals were surveyed were male. Additional information: 85 of ...

*Thursday, November 14, 2013 by Mary*

**Trig**

2 vectors at a Right angle to each other are pulling on a bolt. vector 1 = 650; vector 2 = 300 then R = ?

*Wednesday, November 13, 2013 by Stone*

**Trigonometry - Identities and proof**

Show that cot((x+y)/2) = - (sin x - sin y)/(cos x - cos y) for all values of x and y for which both sides are defined. I tried manipulating both sides in terms of trig identities but I don't really have a solution....help would be appreciated, thanks.

*Wednesday, November 13, 2013 by Sam*

**Math-Trigonometry**

Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? For me, the trig identities don't seem to plug in as well. Help is appreciated, thanks.

*Wednesday, November 6, 2013 by Sam*

**Math - Trigonometry**

If sin theta +cos theta =1.2, then what is sin^3 theta + cos^3 theta? Hmm...I don't understand how to proceed. I know I must apply a trig Identity, but which one? Thanks in advance

*Tuesday, November 5, 2013 by Sam*

**MATH ANALYSIS & TRIG**

At noon, Al is 6km north of point O traveling south at 10km/h. Also at noon, Barb is 2km east of point ) traveling east at 5km/h. A) express the distance "d" between Al and Barb as a function of time "t" hours after noon. B) Find the time at which the distance is a minimum

*Tuesday, October 29, 2013 by francis*

**pre-calc/ trig**

Sinx=0

*Tuesday, October 15, 2013 by Amy*

**Math - Trig**

The equation y = 20sin(0.5θ - 2) + 40 models the monthly temp for a certain city. Use the equation to predict the temperature in the city during December. Thanks

*Thursday, October 10, 2013 by Lilly*

**Trig**

a child puts beads on one spoke of a bicycle wheel. the tire has a diameter of 2ft. if the child rides so that the tire makes one full rotation every 15 sec, and the beads begin in the horizontal outward position, find an equation that models the position of the beads at time t.

*Monday, October 7, 2013 by Bailey*

**MathsSs triG**

Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-360)sin(90-x)tan(-x)/cos(90+x) to a single trigonometric ratio B.hence or otherwise without using a calculator,solve for X if 0<X<360. sin(x-360)sin(90-x)tan(-x)/cos(90+x) =0,5 2.A.prove that 8/sin^2A - 4/1...

*Thursday, October 3, 2013 by katlego ratsoma*

**Trig**

2x^2+2x>4

*Sunday, September 29, 2013 by Kiki*

**math - trig**

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean Theorem and find the following trigonometric functions of the indicated angle. Given: a = 4 and b = 7 Find: sin A, cot B, sec A, tan B

*Wednesday, September 25, 2013 by Annika*

**Trig**

(x+1)(x-4) is greater than or equal to (x-2)^2

*Monday, September 23, 2013 by Kiki*

**Trig**

Rewrite the expression (tan A)(cot A) in terms of a single trigonometric ratio.

*Tuesday, September 17, 2013 by Anonymous*

**Trig**

Use the equation mg sin A = umg cos A to determine the angle at which a waxed wood block on an inclined plane of wet snow begins to slide. Assume the coefficient of friction, u, is 0.17.

*Tuesday, September 17, 2013 by Anonymous*

**Trig**

Find the exact value of sin π/12.

*Tuesday, September 17, 2013 by Anonymous*

**Trig**

Evaluate and simplify cos(-15º). Hint: Substitute 30º-45º for -15º.

*Tuesday, September 17, 2013 by Anonymous*

**Trig**

Suppose sin A = 12/13 with 90º≤A≤180º. Suppose also that sin B = 7/25 with -90º≤B≤0º. Find tan (A - B).

*Tuesday, September 17, 2013 by Anonymous*

**Trig**

Suppose sinA = 12/13 with 90º≤A≤180º. Suppose also that sinB = -7/25 with -90º≤B≤0º. Find cos(A - B).

*Tuesday, September 17, 2013 by Anonymous*

**Trig**

Let sin A = 12/13 with 90º≤A≤180º and tan B = -4/3 with 270º≤B≤360º. Find tan (A + B).

*Tuesday, September 17, 2013 by Anonymous*

**Trig**

suppose tan theta equal 4 and theta lies in the third quadrant. find the values of sec theta

*Friday, September 13, 2013 by Broskie*

**trig**

Let sin A = 12/13 with 90º≤A≤180º and tan B = -4/3 with 270º≤B≤360º. Find tan (A - B).

*Thursday, September 12, 2013 by Matt*

**trig**

Evaluate and simplify tan 5π/12.

*Thursday, September 12, 2013 by Matt*

**trig**

This identity means that translating a basic sine graph 3π/2 units to the right produces a basic cosine graph. True or False? sin(X-(3(pi)/2)) = cosX

*Thursday, September 12, 2013 by Matt*

**trig**

How do you solve sin(e^x)=0 for x? The question is "find the smallest number x such that sin(e^x)=0".... but I can't even get AN answer lol! Much appreciated!

*Wednesday, September 11, 2013 by Luna*

**trig**

How do you solve sin(e^x)=0 for x? The question is "find the smallest number x such that sin(e^x)=0".... but I can't even get AN answer lol! Much appreciated!

*Wednesday, September 11, 2013 by Luna*

**trig**

if 60 m of fencing is available for a rectangular garden, one side of which is against a barn, what areb the dimensions of the garden that will give the maximum area?

*Thursday, August 29, 2013 by Anonymous*

**trig**

u = (9, 2) v = (-5, -2) 2u - 3v = ?

*Wednesday, August 28, 2013 by Vanessa*

**Trig hep, please? Thank you!**

1. Find the exact value of sin(195(degrees)) 2. If cot2(delta)=5/12 with 0(<or =)2(delta)pi, find cos(delta), sin(delta) , tan(delta). 3.find the exact value of sin2(x) if cos(x)= 4/5. (X is in quadrant 1) 4. Find the exact value of tan2(x) if sin(x)=5/13. ((X) in quadrant ...

*Saturday, August 17, 2013 by Michelle*

**trig help much appreciated! :))**

1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove that tan2 – 1 + cos2 = tan2 sin2 . 5. ...

*Friday, August 16, 2013 by suzy*

**trig**

prove that :cosA-sinA+1/cosA+sinA-1=cosecA+cotA

*Friday, August 16, 2013 by rajan*

**trig**

PROVE: Cos 2theta = .5 (cot theta - tan theta) Please help me

*Wednesday, August 14, 2013 by Mike*

**Trig**

Given that csc θ = -4 and tan θ > 0, find the exact value of a. x b. sin θ c. cos θ d. r e. sec θ f. cot θ

*Wednesday, August 7, 2013 by Paula*

**Trig**

Given that tan θ = - (√3/8) and θ is in QII, find the exact value of a. r = b. csc θ c. cos θ d. cot θ

*Wednesday, August 7, 2013 by Paula*

**Trig**

Given that cos θ = 5/13 and θ is in QIV, find the exact value of a. y b. sin θ c. sec θ d. tan θ

*Wednesday, August 7, 2013 by Paula*

**trig**

tan200(cot10-tan10)

*Friday, August 2, 2013 by Pallav*

**trig**

tan200(cot10-tan10)

*Friday, August 2, 2013 by Pallav*

**trig**

Find all solutions of cos (x) + 1/2 sec (x) = -3/2 in the interval (2pi, 4pi) (Leave your answers in exact form and enter them as a comma-separated list.)

*Wednesday, July 31, 2013 by Holly*

**trig**

the base of a trapezoid are 22 and 12 respectively. the angle at the extremities of one base are 65 degree and 45 degree respectively. find two legs?

*Wednesday, July 31, 2013 by kathy*

**trig**

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

*Sunday, July 28, 2013 by tony*

**trig**

Which expression is equivalent to csc x - sin x?

*Monday, July 22, 2013 by Lois*

**trig**

use a half-angle identity to find the exact value of tan 105 degrees.

*Monday, July 22, 2013 by Karen*

**trig**

Write the standard form of the equation where p=π and o=7π/12

*Monday, July 22, 2013 by Sharla*

**trig**

A bird at the top of a tree looks down at a field mouse with an angle of depression of 65 degrees. If the field mouse is 30 meters from the base of the tree, find the distance from which the field mouse to the bird's eyes. Round the answer to the nearest tenth.

*Monday, July 22, 2013 by Jackie*

**Trig**

Find all solutions in the interval 0 degrees<θ<360 degrees. If rounding necessary, round to the nearest tenth of a degree. 17sec2 θ − 15tanθsecθ − 15 = 0

*Monday, July 22, 2013 by Lisa*

**trig**

A barge is pulled by two tugboats. The first tugboat is traveling at a speed of 12 knots with heading 140°, and the second tugboat is traveling at a speed of 17 knots with heading 200°. Find the resulting speed and direction of the barge. (Round your answers to the nearest ...

*Sunday, July 21, 2013 by Priscilla*

**trig**

An object suspended from a spring is oscillating up and down. The distance from the high point to the low point is 30 cm, and the objects take 4 sec to complete 5 cycles.For the first few cycles the distance from the mean position, d(t), in cm with respect to the time t sec is...

*Saturday, July 20, 2013 by Azal - pleaseee helpp*

**trig**

1. A Ferris wheel with a radius of 7m makes one complete revolution every 16 s. The bottom of the wheel is 1.5m above ground. a)Find the equation of the graph b)predict how the graph and the equation will change if the Ferris wheel turns more slowly c) test your predictions ...

*Saturday, July 20, 2013 by Azal*

**trig**

tan(7π/4) + tan(5π/4) Does this = 0

*Thursday, July 18, 2013 by tony*

**trig**

each wheel of a bicycle is of radius is 1.1 ft. if the wheels are making 4 revoultions per second how fast is the bicycle moving

*Thursday, July 18, 2013 by vanessa*