# Trigonometry

**Geometry/Trig**

A plane is flying and show an air speed of 130 mi/h. However, there is a 20 mi/hr crosswind. What is the resulting speed of the plane.

**Trig**

given that sinx=3/4 and cosy=-5/13 and both x and y are in quadrant II, find the exact value of cos(x-y)

**Trig**

Prove the following: 1/(tanØ - secØ ) + 1/(tanØ + secØ) = -2tanØ (1 - sinØ)/(1 + sinØ) = sec^2Ø - 2secØtanØ + tan^2Ø

**Trig**

Verify the given equations: ____1______ + ____1_______ = -2 tanθ tanθ – secθ tanθ + secθ 1 – sinθ = sec2θ – 2 secθ tan θ + tan2θ 1 + sinθ

**trig**

From the foot of a building i have to look upwards at an angle of 22 degrees 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 degrees to look at the top of the tree. A) How tall is the ...

**Alg/Trig**

The angle of elevation from a point on the ground to the top of a tree is 39.8 degrees. The angle of elevation from a point 51.7 ft farther back to the top of the tree is 19.7 degrees. Help find the height of the tree.

**trig**

a sailor on a boat 580 metres from the base of a vertical cliff sights the top of a lighthouse with an angel of elevation of 31 degrees

**trig**

an=(-1)n+1/2n

**trig**

Use a calculator to find: θ if θ = csc-1 1.7516. θ = _____°. Round to three decimal places.

**math12A TRIG pleas help**

a farmer wishes to fence a field in the form of a right triangle.If one angle of the right triangle is 43.2 degree and the hypotenuse is 200yard,find the amount of fencing needed.

**Trig**

A plane is 48 miles west and 49 miles north of an airport. The pilot wants to fly directly to the airport. What bearing should the pilot take? In degrees and minutes

**Trig**

A straight road slopes upward 14 degrees from the horizontal. A vertical telephone pole beside the road casts a shadow of 60 feet down the road. if the angle of elevation of the sun is 55 degrees, what is the height of the telephone pole?

**Trig**

If f(x)=cos^2x and g(x)=sin^2x, what is (f+g)(pi/15)

**trig**

If $5000 is invested at a rate of 3% interest compounded quarterly, what is the value of the investment in 5 years?

**trig**

Given csc theta= 4, cot theta < 0 Find the exact values of cos theta and tan theta

**math - trig**

Why cant we solve an oblique triangle with the Law of Sines if we are given SAS?

**trig**

City A is 300kilometer due east of city B. city C is 200kilometer on a bearing of 123degree from city B.how far is it from C to A

**trig**

a central angle intercepts an arc on a circle equal in length to the diameter of the circle. find the measure, in radians, of the central angle.

**Math - Trig**

Explain why we cannot solve an oblique triangle with the Law of Sines given SAS.

**Math - Trig**

Use the law of cosines to show that the measure of each angle of an equilateral triangle is 60deg. Explain your reasoning.

**Math - Trig**

What familiar formula can you obtain when you use the third form of the Law of Cosines c^2 = a^2 + b^2 - 2ab cos C and you let C = 90deg? What is the relationship between the Law of Cosines and this formula?

**trig**

An advertising blimps hovers over stadium at the altitude of 152 m.the pilot sites a tennis court at in 80 degree angle of depression. Find the ground distance in the straight line between the stadium and the tennis court. (note: in an exercise like this one, and answers ...

**trig**

An advertising blimps hovers over stadium at the altitude of 152 m.the pilot sites a tennis court at in 80 degree angle of depression. Find the ground distance in the straight line between the stadium and the tennis court. (note: in an exercise like this one, and answers ...

**trig**

A kite is flying at an angle of elevation of about 40 degrees. All 80 meters of string have been let out. Ignoring the sag in the string, find the height of the kite nearest ten meters.

**trig**

A kite is flying at an angle of elevation of about 40 degrees. All 80 meters of string have been let out. Ignoring the sag in the string, find the height of the kite nearest ten meters.

**trig**

Find all the solutions from [0, 2pi] cot^2x+csc=x

**Trig**

A fan makes 3 revolutions per second. The blades are 21 inches long. How do I find the angular velocity of a fan blade? in radians per second

**trig**

Your search for A surveyor is trying to determine the width of a river. He forst stands at point A, directly opposite a tree at point B. He then walks 100 feet to point C. He measures the acute angle at point C to be 79 degrees. What is the width of the river?

**Trig**

the sine of an angle is 0.6. the constraint is the angle lies in quadrant II. how do I figure out what x is to solve the six functions?

**trig**

if sin and sec of theta are less than zero what quadrant is it in

**trig**

sin 60 ka man

**trig**

A person stands at a distance from the tower and eyes the top of the tower at 30 degree angle of elevation. He then walks 425 feet towards the tower and eyes the top of the tower at a 58 degree angle of elevation. The person is 5 feet tall. How tall is the tower?

**trig**

csc^4-cot^4= 1+cos^2/sin^2 i need help! please help me

**Trig**

Use a graphical method to find a solution to the following system of equations in the interval –1 ≤ x ≤ 5: y = x2 – 4x + 2 y = x + 2 The solution set to this system of equations in the interval –1 ≤ x ≤ 5 is {} {(2, 0)} {(0, 2), (5, 7)} {(2, 0), (...

**trig**

A computerized spin balance machine rotates a 35-inch-diameter tire at 400 revolutions per minute. (a) Find the road speed (in miles per hour) at which the tire is being balanced. (Round your answer to two decimal places.) (b) At what rate should the spin balance machine be ...

**Algebra 2/ Trig**

Igor is flying a kite. he has let out 300 feet of kite string. the string makes an angle of 64 degrees with the level ground. To the nearest foot, how high is his kite?

**trig**

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

**trig**

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

**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

**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

**TRIG,**

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

**trig**

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

**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?

**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?

**algebra 2 trig**

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

**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.

**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?

**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?

**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.

**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

**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...

**Please help trig proof**

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

**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 :/

**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...

**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...

**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 ...

**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 ...

**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?

**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?

**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 ...

**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 ...

**Trig**

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

**trig**

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

**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.

**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?

**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...

**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 ...

**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 ...

**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.

**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

**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.

**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 ...

**trig**

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

**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?

**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.

**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 ...

**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 ...

**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

**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.

**Trig**

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

**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 ...

**Trig**

sqrt(100+(10cotx)^2)

**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 ...

**Trig**

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

**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?

**Trig**

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

**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 ...

**Trig**

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

**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.

**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.

**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

**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

**pre-calc/ trig**

Sinx=0

**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

**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.

**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...

**Trig**

2x^2+2x>4

**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

**Trig**

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

**Trig**

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