# trigonometry

2,076 results, page 13

### Trigonometry

a 100 pound box hangs between two ropes T1 and T2 the angle at the top of T1 is 28 degrees and the angle at the top of T2 is 35 degrees. what does T1 and T2 equal? Must show work

### algebra & trigonometry

The profit of an organization is calculated by the function P(x) = x2 – 4000x + 7800000, where x is the number of units sold. If the net profit is 3800000, find the number of items sold. Thanks

### Trigonometry

A hill in the Tour de France bike race has a grade of 8%. To the nearest degree, what is the angle that this hill makes with the horizontal ground? Round to the nearest tenth of a degree.

### Trigonometry

A man standing on top of a mountain 1500m high observes the angle of depression of the top of a steeple to be 40 degrees, if the height of the steeple is 50m, how far is it from the mountain ?

### Trigonometry

A plane leaves an airport and flies at 36 mph on a course of 103.25° for 1 hour and 33 minutes. Then it changes course to 236.75° and flies for 48 minutes. How far is it from the airport? If it wished to return, what would be its course?

### Trigonometry

A tree casts a shadow 38 m long. At the same time, the shadow cast by a 34 centimeter tall statue is 69 cm long. Find the height of the tree to the nearest tenth.

### Trigonometry

Use the power-reducing formulas to rewrite the expression in terms of the first power of the cosine. [#1.] (sin^4x)(cos^4x) [#2.] (sin^4x)(cos^2x)

### Trigonometry

r = 1/32 v^2 sin 2 beta v is the initial velocity and beta is the angle of elevation. r = 35000 feet v = 3200 feet per second. What is the angle?

### Trigonometry

Find the counterexample to shows that the equation sec (alpha) - cos (alpha) = sin (alpha) sec (alpha) is not an identity. Please explain.

### Trigonometry

If a ship leaves port at 9:00 a.m. and sails due south for 3 hours at 14 knots, then turns N 60° E for another 2 hours, how far from port is the ship? A. 14 nm B. 17.75 nm C. 21.5 nm D. 22.6 nm PLEASE HELP!

### trigonometry

If a tree casts a shadow of 12 feet at the same time that 6 foot person casts a shadow what is the length of the three to the nearst foot

### trigonometry

Can you draw the ans. To make it clear to me , please? Establish identity: tan∅ + cot∅ -------------- = csc²∅ tan∅

### Trigonometry

Write each expression in the standard form for a complex number, a + bi. A. [3(cos(27°)) + isin(27°)]^5 B. [2(cos(40°)) + isin(40°)]^6 For A i got 2.67+1.36i and for B i got 1.53+1.29i

### trigonometry

the angle of elevation of a tower at place A south of it is 30degrees and at B west of A and a distance of 50 from it the angle of elevation is 18degrees, determined the height of the tower

### trigonometry(height and distance)

The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower.

### trigonometry(height and distance)

The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower.

### Trigonometry

State the amplitude of the following functions: a) y = cos theta b) y = 1/2cos theta c) y = -2cos theta

### trigonometry

Given that tan A = 2 tan B (B is the symbol for Beta) show that tan (A-B) = sin 2B/3- cos2 Beta.

### Trigonometry

find cos (u+v) when cos v=(1/3) and sin u=(2/5) I found sin (v) to equal (sqrt8)/3 and cos (u)= (sqrt21)/5

### maths

prove that sin sqared pie/6+ cos sqared pie/3-tansqare pie/4=1/2 in trigonometry

### trigonometry

The bearing of the lighthouse is N 68 degress E from a ship 43 miles from the lighthouse. How far north of the ship is the lighthouse?

### Trigonometry

a boat travels on a course of bearing n 37 10' W for 79.5 miles. How many miles north and how many miles west has the boat traveled?

### Trigonometry

Let T be a right triangle with a hypotenuse of the length 37. If another side of the triangle is known to be 35, what must the third side of the triangle be?

### Trigonometry

these values right? tan theta=2/3 sec theta=Squareroot(13)/3 sine=2xSquareroot(13)/13 Cos=3xSquareroot(13)/13 Tan=2/3 Cosecant=Square root (13)/2 Secant=Squareroot(3)/3 Cotangent=3/2

### Vectors

Given the vectors below, determine the resultant and the equilibrant using trigonometry. Show all your steps. 330.0 newtons @ 125 degrees 250.0 newtons @ 60.0 degrees

### Trigonometry

I need help with the inverse of si, cos, & tan. So far on one problem I've gotten sinX = 29/14 where do I go from here? I know you have to use cos^-1, but how? Can anyone work this one problem out for me to see how to do it? THANKS!

### trigonometry

Towers A and B are on the east-west line 125 m apart. Jojo, on the north of that line finds that the direction of towers A and B are N 39deg27mins E and N 50deg33mins W, respectively. How far is Jojo from each tower?

### Trigonometry

Add 3+ 4i and -4+2i graphically My class got 1+ 2 radical 10 /2 and 1-2 radical 10 /2 . whenever i put this into the y= graph, nothing shows up on the graph. Can someone tell me how to solve this algebraically and graphically?

### Trigonometry

an airplane over the pacific sights an atoll at a 11 degrees angel angle of depression. if the plane is 410 m above water how many kilometers is it from a point 410 m above the atoll

### Trigonometry

I'm having a lot of trouble with graphing trig functions. Can anyone tell me how to graph this equation on a graphing calculator? Sketch the graph of y= sin x in the interval 0 ≤ x ≤4π

### Trigonometry

Verify the identity algebraically. This problem is very intriguing and awesome at the same time. It's wonderfully amazing! 1.) TAN³α-1/TAN α-1= TAN²α + TAN α + 1

### Math, trigonometry

An observer in a lighthouse 47m high sights a ship at at an angle of depression of 4.25• if the the foot of the light house is at sea level how far is the ship from the foot of the lighthouse

### Trigonometry

In travelling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 4.5°. After you drive 13 miles closer to the mountain, the angle of elevation is 9.5°.

### Trigonometry

Given sin x = 4/7 and cos x = negative square root of 33 over 7, find cot x. I think it's square root of 33 over 4!

### trigonometry

A 36 ft. ladder is used to reach the top of 28ft. wall. If the ladder extends 2 ft. from the top of the wall, find its inclination to the horizontal.

### Plane Trigonometry

A segment of height 3 meters from the center of chord to center of arc has an arc of 1/3 radians. Find the area of the segment.

### Trigonometry

If the distance covered by an object in time t is given by s(t) = t^2 + 5t , where s(t) is in meters and t is in seconds, what is the distance covered in the interval between 1 second and 5 seconds?

### Trigonometry

A segment of height 3 inches (distance from center ofchord to center of arc) has an arc of .4 radian.find the area of a segment.

### Trigonometry

two sightings of the top of a flagpole are taken 75 meters apart on level ground. The two sightings are 21° and 32°. What is the height of the flagpole?

### math(advanced algebra&trigonometry)

If θ is an angle in standard position and its terminal side passes through the point (−3,2), find the exact value of cscθ . I know the answer...but i want to know how you get the answer... The answer is radical 13/2

### Trigonometry

use the appropriate trig identity (sum and difference, half angle, double angle) to find the exact value. 1)cos 255 degrees 2) sin 165 degrees 3) tan 285 degrees

### trigonometry

From a point 55 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 35 degree and 49 degree 20 minutes, respectively, Find the height of the steeple. (Round your answer to one decimal place).

### math(advanced algebra&trigonometry)

The Vietnam Veterans Memorial in Washington, D.C., is made up of two walls, each 246.75 feet long, that meet at an angle of 125.2°. Find, to the nearest foot, the distance between the ends of the walls that do not meet.

### Trigonometry

Usa a right triangle to write each expression as an algebraic expression. Assume the referenced angle is theta, and x is positive and in the domain of the given inverse trig. function. Label the triangle. 1. sec^sq(tan^-1x) 2. sin(arccot x/(sqrt)1-x^2)

### Trigonometry

Solve the following trig equations. Give all positive values of the angle between 0 degrees and 360 degrees that will satisfy each. Give any approximate value to the nearest minute only. 3 sin è - 4 cos è = 2 Can you please help me with this one.

### 12th grade Trigonometry

Solve this trigonometric equation.give all positive values of the angle between 0deg and 360deg that will satisfy. Give any approximate value to the nearest minute only. 3 sin theta - 4 cos theta = 2

### Trigonometry

Suppose a triangular silk scarf has both of its shortest sides 14 inches long. If the angle between these sides is 110º, what is the area of the scarf? Round your answer to the nearest tenth of a square inch. (Enter only the number.)

### Trigonometry

Use a graph of the function to approximate the solution of the equation on the interval [−2π, 2π]. (List the solutions in increasing order from left to right on the x-axis. Round your answers to three decimal places.) cot x = −1

### Trigonometry

A crow is on the ground 80 feet from the base of a 45 foot tall tree. It then flies straight throught the air to the top of the tree. What is the angle of the crow's flight path relative to the ground ?

### Trigonometry

Suppose you have an isosceles triangle, and each of the equal sides has a lenght of 1 foot. Suppose the angle formed by those two sides is 45^\circ. Then the area of the triangle is square feet.

### trigonometry

two points, A and B, are 526 meters apart on a level strecth of road leading to a hill. The angle of elevation of the hilltop from A is 26deg30mins, and the angle of elevation from B is 36deg40mins. How high is the hill?

### trigonometry

Suppose (x, y) =(4, -5) and θ is an angle in standard position with (x, y) on its terminal side. What is the degree measure of angle θ? im not sure how to do this one problem plz show step by step

### Precalculus with Trigonometry

What values of theta between 0 and 2pi solve the following equation? sin squared (2theta)-sin(2theta)-2=0 NOTE: if you choose to plot this, a good WINDOW is (0,2pi) x (-3,3).

### TRIGONOMETRY

3. The rectangular coordinates of a point are given. Find the polar coordinates of each point. b. (0,3) I figured out a, but I canNOT figure out b. Can someone please explain? :)I need to know how to do this for my final next week.

### trigonometry

Can you draw the The solution for this: Establishing identities 1.) Sin²∅ (1+cot²∅) = 1 2.) (tan²B+1) cos²B = 1 3.) tan x ---------- = sin x sec x 4.) 1 1 ------- + ------- = 2csc²∅ 1+cos∅ 1-cos Please help me, i cant understand it.

### Trigonometry

Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is 29'30'. Find the distance between the centers of the circles.

### trigonometry

from a point 3 m above the water surface, the angle of elevation of the top of a certain tree is 30°40', while the angle of depression of its image is 65°10'. Find the height of the tree and its distance from the point of observation.

### Trigonometry

For 0<x<pi/2, sin x and cos x are both less than 1 and greater than 0 (easy to see). We are also given that sin^2x+cos^2x=1. Use this to show that sin^7x+cos^7x<1 for 0<x<pi/2. Unsure on how to proceed?

### trigonometry

using the law of sines, solve the rest of the triangle: side C=14 side B=4 angle c=145 degrees i got angle b= 9.4 angle a=25.6 side A=10.4 but i didn't know if it was correct

### Calculus

So,y(t) = 2.5e^-t cos2t I need to find the derivative, which is y'(t)= -2.5e^-t(2sin 2t +cost 2t) . And now I need to find t when y'(t) = 0 (I know 2.5 e^-t is never zero.) I need to use trigonometry identity to find it ?

### Pre-Calculus ( Trigonometry)

The point P(k, 24) is 25 units from the origin. If P lies on the terminal arm of an angle, theta, in standard position, 0 < theta < 360,determine the measure of theta. Unsure how to go on from here. I'd appreciate if someone can guide me through the first few steps Thank...

### trigonometry

A wheel with a 21-inch diameter is turning at the rate of 58 revolutions per minute. To the nearest inch, what is the velocity of a point on the rim in inches/minutes? 3879 inches/minutes is my answer correct??

### Trigonometry

Hi, this question concerns a right angled triangle. If I know the hypotenuse of the triangle is 16cm and I know the adjacent side to an unknown angle is 14cm which trigonometric ratio would I need to find the unknown angle? Many thanks

### trigonometry

Express as a function : c.tan (810degrees + theta ) I'm confused between two answers . 1. that it would be tan 90 deg (which is undefined) 2. it would be cot theta ?? can you tell me what i should do to get the right answer.

### trigonometry

Two buildings with flat roofs are 60m apart. From the roof of the shorter building, 40m in height, the angle of elevation to the edge of the roof of the taller bldg. is 40°. How high is the taller bldg.?

### math trigonometry

A ladder 8.5m long is placed with its foot at a distance of 4m from the wall of a house and just reaches a window will . find the height of a window will and the sine and tan of the angle which the ladder makes with the wall

### trigonometry

Find all solutions on the interval [0.2pi) A) -3sin(t)=15cos(t)sin(t) I have no clue... b) 8cos^2(t)=3-2cos(t) All i did was move around the equation to make an quadratic for B. so -8cos^2(t)-2cos(t)+3 = 0

### Trigonometry damon plz help

If the angle of a h meters long tower is in a straight line between two observers A and B angle of elevation of the top of the tower from A and B are alpha and beta respectively and AB=D meters find h/d

### plane and spherical trigonometry

a ladder 38 feet long is leaning against the side of a wall. if the angle between the ladder and the wall is 54 (degrees) approximately how far is the bottom of the ladder from the wall?

### trigonometry

1) Perform the operation and leave the result in trig. form. [3/4(cos pi/3 + i sin pi/3)][4(cos 3pi/4 + i sin 3pi/4)] Thanks

### Math (Trigonometry)

Given that sin 53∘ = T, how many values of N, subject to 0 ≤ N ≤ 1000 are there, such that sin N∘ = T?

### Math (Trigonometry)

1. If sec x + tan x = 3/2 and 0 ≤ x ≤ pi/2 then the value of sin x is... 2. If 0 ≤ x ≤ pi/2 and tan²x + sec x = 5 then cos x = ... Please help

### Trigonometry

Simplify each expression using fundamental identities. 1. Sin theta cot theta 2. 1-sin^2 theta / cos theta

### Trigonometry

Help please? I'm getting really confused. >>>csc^2A+sec^2A = sec^2A csc^2A >>>1+{(tan^2A)/(1+secA)] And the "1" is getting me frustrated xO

### trigonometry

An airship has an altitude of 800 m , in a distance, a village is seen with an angle of depression 12 °. Find the distance of the airship from the village..

### Trigonometry

a diagram shows a cross section of a triangular prism. AB=BC=7cm. BM=5cm m is the midpoint of the line segment AC. a) explain why angle AMB must be a right angle. b) calculate angle BCM. c) calculate area of the triangle

### Trigonometry

Graph the function y=2sin(x-2pi/3). To draw the graph, plot all x-intercepts, minima and maxima within on period. I need to graph at least 5 points. I have -pi, 0, pi, 2pi, 3pi, and 4pi along the x-axis

### Summer School Calculus

Add the following vectors , 7m/s [N30E] and 2m/s [S17E], using trigonometry. Once you draw these out into diagrams, you use the triangle law yes? How do you find the angles to use in the cosine and sine law? A little confused, thanks for the help.

### trigonometry

Using exact values,find the value of: (A=30degrees) sin 2A + tan 3A/2 - cos A + sec(A+15), when A= 30degrees There were no parentheses and no exponents. please help by showing the work in details. Thank you! I pluged in the numbers and got this I don't know if its right or ...

### trigonometry

can you explain to me in details please of how these type of questions can be answered without using a calculator to find the direct answer. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' C. sin 79degrees 23'30'

### Trigonometry

A triangle has two angles, one 90 degrees, the other (between adjacent and hypotamuse) 26 degrees, and a hypotamuse of 10ft. Find the opposite side's length. Hint: use sine. I think I'm supposed to do 10(sine26), but the answer isn't right. What am I missing? Thanks!

### Graphing - Trigonometry

Below is the graph of y = a cos(bx+c)+d, where a, b, and c are positive, and c is as small as possible. Find a + b + c + d. prntscr. com/20mkyo The link is to a screenshot of the graph. (without spaces) I'm unsure of how to solve - I tried it and got y = 2 cos (2/3x + 5pi/2...

### Trigonometry

Round your answer to three significant digits. Use the distances shown in the following figure to determine the depth of the submarine below the surface of the water. Assume that the line segment between the surface ships is directly above the submarine.

### Trigonometry

5. If a trig equation has one answer, how many answers will it have? (Provided you do not restrict the domain?) 6. Why are the graphs of the inverse functions restricted to one period of the function? I only need to answer these two to finish my homework and I can't figure out...

### Trigonometry

x square root of 2 + 3x =4 all over square root of 2

### Trigonometry

Prove that (cosy/1+siny) + (1+siny/cosy) = 2secy

### Trigonometry

What are the steps in verifying that -ln|secx+tanx| = ln|secx-tanx| Thanks

### trigonometry

tanx-cotx/tanx+cotx=1-2cos squardx

### Calculus/Trigonometry

What is the value of x in the equation of an ellipse??? Equation of an ellipse - (x^2/a^2) + (y^2/b^2) = 1

### maths (trigonometry)

1+sin a- cos a/1+sin a +cos a eual to ?. How?

### maths trigonometry

if sin A + sin^2 A = 1, then the value of cos^A + cos^4 A is (A) 2 (B) 1 (C) -2 (D) 0

### Trigonometry

Prove 1-cosx+sinx / 1+cosx+sinx =tan x/2

### trigonometry

VERIFY:(1-sinx)/(1+sinx)= sec^2x-2secxtanx+sec^2x-1

### Trigonometry

Verify the identity. (Cos x - sin x)^2 + (cos x + sin x)^2=2

### trigonometry.

In a right triangle sinA= 3/5 and C=17. Find a and b. Be sure to draw a right triangle and letter it properly. how can i solve the math in this problem. i know i would have to use the Pythagoream Theorem but i don't know how to set the problem up first.

### Trigonometry (Math)

From the top of a building 70 ft. high, two objects in a straight line from the building are observed at angles of depression of 28° and 41°6' respectively. Find the distance between the two objects. -Complete Solution please. :'(

### Trigonometry

In 2010, the population of a country was 70 million and growing at a rate of 1.9% per year. assuming the percentage growth rate remains constant express the population P, as a function of t, the number of years after 2010.

### College Trigonometry

From a point 200 yards from the foot of a building, the angle of elevation to the top of the building is 37 degrees. Find the measure of the angles of the triangle formed by the building, the ground, and the line of sight to the top of the building?

### check set up trigonometry

Lee is on a cliff 360 m above sea level, the angle of depression of a ship is 28 degrees. To the nearest meter, what is the distance between the ship and the base of the cliff? tan28=x/360?