# trigonometry

2,090 results, page 11

### Trigonometry

Triangle PQR has vertices P(0, 1), Q(0, -4), and R(2, 5). Find the coordinates of R' to the nearest hundredth after rotating triangle PQR counterclockwise about the origin 45º.

### Trigonometry

11. If a navigation error puts a plane 2.5° off course, how far off course is the plane after flying for 2 hours at 152 miles per hour?

### Trigonometry

if the lengths of the sides of an oblique triangle are 250 m. and the measure of the angle opposite of the later side is 37 degree 45'30", what are the possible lengths of the other sides?

### trigonometry

A motor cruising south along the highway is 16 km from the nearest town. After travelling a distance of 32 km, he finds that he is 19 km from the same town. Find the bearing of the town from the second position of the motorist.

### Intro to trigonometry

If sin(theta) < 0 and tan(theta) > 0 then: in degrees. Ok I need help with this I couldn't understand the lesson and want to know how to do problems like this. Please help me by showing me step by step! Thank u in advance.

### Trigonometry

Solve the equation for exact solutions in the interval 0 ≤ x < 2π. (Enter your answers as a comma-separated list.) sin 2x cos x + cos 2x sin x = 0

### trigonometry (Course and Bearing)

two lighthouses are situated such that B is 7 km directly east of lighthouse A. A ship at point P observes that A is due north and that the bearing of B is 46°10'. How far is the ship from A and B ?

### Trigonometry

A boat is 100 m from the bottom of a 75 m high cliff. Calculate the angle of elevation from the boat to the top of the cliff. (I've been trying to solve it but i have no idea how

### trigonometry

how to solve cot theta+tan theta=csc^2theta+sec^2theta

### math help trigonometry

Prove the following identity tan x cos x/sin x=1/sin x cos x

### trigonometry

x×sin^3A=y , cos^3A = sinA × cosA , x×sinA= y×cosA , then prove that x^2+ y^2= 1 I have no idea

### Plane Trigonometry

tan A=-4/5;A in Quadrant 2 and cos B=-5/13: B in Quadrant 3. What is the exact value of the expression cos(A+B)?

### Trigonometry

I can't remember what formula to use for these. Note- the X's may be replaced by a theta symbol. I just didn't have one on my keyboard. Use the given information to find sin2X, cos2X and tan2X if 0< X <pi/2 1. sinX=12/13 2. cosX=3/5 3. tanX=2/3

### Trigonometry

A projectile is fired with an initial velocity of 88 ft/sec at an angle of 35° to the horizontal. Neglecting air resistance, what is the time of impact? (Round to the nearest tenth of a second.) Remember: x = (v0 cos θ)t and y = h0 + (v0sinθ)t – 16 t^2

### Trigonometry

The measure of one of the equal angles in an isoscles trinagle is twice the measure of the remaining angle. Determine the exact radian measures of the three angles in the triange

### math(advanced algebra&trigonometry)

A circle has a radius of 4 inches. In inches, what is the length of the arc intercepted by a central angle of 2 radians? which of the following is the answer: 1) 2 radian 2) 2 3) 8 radian 4) 8

### trigonometry

An aeroplane at an altitude of 200m observes the angles of depression of opposite points on the two banks of a river to be 45 degree and 60 degree. Find in metres, the width of river.

### Trigonometry

A ball is thrown with an initial velocity of 65 feet per second, at an angle of 55° with the horizontal. Find the horizontal component of the velocity. Round to two decimal places.

### trigonometry

In the triangle ABC, the sides AB and BC have lengths 7cm and 8cm respectively, and angle B is obtuse. the area of the triangle is 14 root 3 cm^2. Find a.The size of angle B b. The length of AC

### geometry

A tetrahedron is a triangular pyramid in which each face is an equilateral triangle. Calculate the volume of a tetrahedron that has all its edges 6 cm in length. Hint: You will need to know some geometry and trigonometry.

### Trigonometry

Since the radius of the wheel is 7 feet, point P goes 7 feet above and below the center of the wheel. From this information, you can find the amplitude. Write the value of this constant.

### Trigonometry

Solve the equation cos^2A = sin^2A + sinA when 0¨¬¡A¡360¨¬. Select all the solutions from the list below. A. 330 degrees B. 270 degrees C. 150 degrees D. 30 degrees

### Agent HELP! Trigonometry

An isosceles triangle ABC has two sides 17cm in length and a base 10cm in length. Find the size of the angle between the equal sides.

### trigonometry

A sled travels from point A at the top of a hill to Point B at the bottom. If the distance from point A to point B is 120 m and the vertical change is 50 m, find the angle of depression to the nearest degree.

### Trigonometry

Solve the equation for exact solutions in the interval 0 ≤ x < 2π. (Enter your answers as a comma-separated list.) cos 2x cos x − sin 2x sin x = 0

### trigonometry

Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for π6 or DNE if the expression is undefined. arctan(tan(−31π6))

### trigonometry

draw a triangle that maps their route. label the lengths and angles. is hjb a right triangle? no. draw a height, h, from H to point X on bj. what kind of triangles are HXJ and HXB?

### Math - Trigonometry

When calculating the lengths for a square based pyramid, is there a way to calculate the length from a point to the point opposite of it, given the side length and height? Thanks in advanced.

### Math Trigonometry

Hi guys, I was wondering if you guys can help me with this question. I'm not sure how to do this question. As I keep on getting something that's out of the unit circle. Please help! 17sec2(θ)-13tan(θ)sec(θ)-15=0

### trigonometry

FROM THE SKYDOME IN SM NORTH WHICH DIRECTLY ACROSS THE STREET, THE ANGLE OF ELEVATION OF TRINOMA IS 57°20' AND THE ANGLE OF DEPRESSION OF THE BASE IS 18°10'. IF THE BUILDING ARE 105 METERS APART, WHAT IS THE HEIGHT OF THE BUILDING?

### trigonometry

FROM THE SKYDOME IN SM NORTH WHICH DIRECTLY ACROSS THE STREET, THE ANGLE OF ELEVATION OF TRINOMA IS 57°20' AND THE ANGLE OF DEPRESSION OF THE BASE IS 18°10'. IF THE BUILDING ARE 105 METERS APART, WHAT IS THE HEIGHT OF THE BUILDING?

### trigonometry

A rock dropped from the top of the Learning Tower of Pisa falls to a point 14 feet from its base. If the tower is 182 feet tall, at what angle does it lean at the ground?

### Trigonometry

Okay. Love the no help, now he thinks I'm stupid. My friend Nick is quizzing my on stuff I don't know. like this Given: A= 10km S30degreesW and B= 15km S40degreesW Find the resulting vector (magnitude and direction) of the combined vectors Please just help. He's 19 and I'm 14...

### Trigonometry

An observer on a cliff 1000 dm above sea level sights two ships due east. the angles of depression of the ships are 44o and 32o. Find the distance between the ships.

### Trigonometry

Let è be the angle between the x-axis and the line connecting the origin O(0,0) and the point P(−3,−4) , where 180<è<270. Given that sinè+cosè+tanè=−a/b, where a and b are coprime positive integers. What is the value of a+b?

### Trigonometry

If tan theta= 3 and ð<theta< 3ð/2, find cos theta.

### TRIGONOMETRY

5y3 − 16y2 − 38y + 60/ 5y − 6

### trigonometry

sina^2θcos^2θ= 1/8 (1-cos4θ)

### Trigonometry

If sin(theta)=12/13 when 0<theta<pi/2, what is the value of cos(theta/2)?

### trigonometry

A sheet metal worker constructed a triangular metal flashing with sides of 6 ft., 5 ft., and 3 ft. If he charges $2 per square foot for this type of work, then what should he charge? Do not use Heron’s formula. Justify and explain your reasoning.

### Geometry

According to OSHA, a ladder that is placed against a wall should make a 75.5 degree angle with the ground for optimal safety. To the nearest tenth of a foot, what is the maximum height that a 10-ft ladder can safely reach?(trigonometry)

### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) cos(x)(9cos(x) + 4) = 4; [0, 2π)

### 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.)

### Trigonometry

Point P is located at the intersection of the unit circle and the terminal side of angle theta in standard position. Find the coordinates of P to the nearest thousandth. theta = -105degrees Please explain the steps. I'm completely stuck.

### College Preparation

I'm trying to major in history or journalism. Should I take trigonometry, or do you think that's not needed? I know it varies from school to school, but overall, do you think I'll be fine without trig?

### trigonometry

tan 30degrees = sin 60degrees /1+cos 60degrees I pluged in the numebrs and i got this . ã3/3= ã3/2 / 1+1/2 now i don't know how to work the problem to get the answer which is supposed to be ã3/3=ã3/3 i want an explaintion cuz i want to know how to do it.. and let ...

### Trigonometry/ Please Help

The average temperature, in °F, of City B is given by the equation:y=19.5sin(pi/6t-2.06)+62 , where t is the time in months and t = 1 corresponds to January. What is the average temperature in April? Round your answer to the nearest hundredth.

### trigonometry

the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65 degree and 40 degree respectively find the two legs. Answer using law of sines pls

### Trigonometry

The wheel makes 6 complete revolutions every 60 seconds. From this information, you can find the value of constant b. The constant is π/?. (Enter only the value that replaces the question mark.)

### trigonometry

We begin by setting t=sin 18 degrees we weill think of t an an "unknown" angle and solve to get the exact value. Use a double angle formula to show that cos 36 degrees=1-2t^2

### Trigonometry

A pendulum of length 17.6 inches swing 1 degree and 5 minutes to each side of its vertical posisition. To the nearest hundreth of an inch, what is the length of the arc through which the end of the pendulum swings?

### trigonometry, check please

A 12 ft. ladder makes a 33o angle with the side of a house. To the nearest tenth of a foot how high up on the house does the ladder come? I set it up 12xcos33 giving me 10.0

### trigonometry

A barge is being towed south at the rate 2 km/hr. A man on the deck walks from west to east at the rate 4ft/s. Find the magnitude and direction of the man's actual velocity.

### Trigonometry

Your horse on a merry-go-round is 18.3 m from the center. Suppose the merry-go-round makes 12.4 rev per ride. If you take 3 rides, through what angle do you move and how many meters do you travel?

### Trigonometry

Your horse on a merry-go-round is 18.3 m from the center. Suppose the merry-go-round makes 12.4 rev per ride. If you take 3 rides, through what angle do you move and how many meters do you travel?

### Trigonometry

Use a sine function to graph a sound wave with a period of 0.004 of a second and an amplitude of 3 cm. Find the frequency in hertz for this sound wave. (Enter only the number.)

### trigonometry

An electric post is anchored to the ground by two guy wires attached on opposite sides. The guy wires make angles of 35• and 48• with the horizpntal that are 75 m apart. what is the length of each wire?

### Math trigonometry

A cos wave has its first maximum at the point (pie/2, 2) and its first minimum at (5pie/2, -4) what is the equation of the function? I remember writing 3cos(1/2(x-pie/2)-1 but I'm sure that it's wrong ?

### maths(trigonometry)

prove that sinA-cosA+1/sinA+cosA-1=1/secA-tanA

### trigonometry

solve sin(2θ)+1=0 on the interval 0≤θ≤2pi

### Trigonometry

Find cos(76n). Find sec(23n)

### trigonometry

Solve the equation 6 cos x^2+sin x=4 if 0 is less than or equal to x is less than or equal to pi

### Algebra 2/ Trigonometry

The expression 4 - cos² A is equivalent to 1)5 - sec² A 2)5 - sin² A 3)5 + sin² A 4)5/sec² A

### Trigonometry

Cot θ = 1/Tan θ = Cos θ/Sin θ = - SQRT of 15/7 =

### Trigonometry

Prove sin theta ( sec theta+ csc theta)= tan theta+1

### Trigonometry

Sin A =1/2 and Cos B=12/13 where A lies in 1 quadrant and B lies in 3 quadrant. Then find tan(a-b).

### Trigonometry

If Sin Teta =3/5.Find Tan Teta For Teta Degree <teta<90degree

### Math

Hi I'm reviewing the following solution in my trigonometry text book and I can't figure out how they got their answer. If someone can help explain how they calculated 542.25 for a^2 (nothing I do comes up with that number): a2=b2+c2-2bcCosA a2=(16)^2+(11)^2 -2(16)(11)Cos118 a2...

### Trigonometry

A volleyball player spikes the ball from a height of 2.44 meters. Assume that the path of the ball is a straight line. To the nearest degree, what is the maximum angle, θ, at which the ball can be hit and land within the court?

### trigonometry

Find the equation of a line passing through the origin so that the tangent of the angle between the line in quadrantI and the positive x-axis is sqrt3/3. A. y=sqrt3/3x B. y=sqrt3x C.y=x D.y=sqrt2/2x thnks alot:)

### trigo

In a right tringle,/_ABC has a value of 37 degree while its opposite side is equal to 5,where angle c=90 degree find: a.) Remaining sides of the triangle b.) /_ABC using any trigonometry functions

### trigonometry

a ship travels 8km due north then 7km on a bearing of 070 degrees 1. draw a diagram to represent the information 2. calculate the distance and bearing of the ship from its starting point

### Math - Trigonometry

The Earth travels in a circular orbit around the Sun at 29.79 km/sec. If the radius of the orbit is 1.496 x 10^8 km, what is the angular velocity in radians/sec? (Round to three significant digits.)

### TRIGONOMETRY

Can someone please give me a step by step answer on how to find the complex cube roots of 8(cos(4π/5)+isin(4π/5))? I need to know how to do this for my trig final next week.

### Trigonometry

Find all solutions of 4(cos(x))**2-4 sin(x)-5=0 in the interval (6pi, 8pi) I tried to work it out and got: 4(cos**2x)-4cosx -9 = 0, but I can't figure out what cosx = from there to finish the problem.

### algebra & trigonometry

A person wants to purchase two types of items, A and B, from a shop. She has $200 to spend, and she has to purchase at least 10 items. If the price of one unit of each A and B is $10 and $30, respectively, represent this problem graphically.

### algebra & trigonometry

A person wants to purchase two types of items, A and B, from a shop. She has $200 to spend, and she has to purchase at least 10 items. If the price of one unit of each A and B is $10 and $30, respectively, represent this problem graphically. Thanks

### Trigonometry

The wheels of a scooter have a diameter of 4.5 inches. If the person riding the scooter is traveling down hill at 15.0 mph. what is the approximate angular speed of the wheels in radians per second

### Trigonometry

I am having problems with proving identities that has a number and an exponent with it. Like: *2cosxcsc2x = cscx *sin^2 2x = 4sin^2 x cos^2 x *cot2(theta)=csc(theta)-2sin(theta)/2cos(theta)

### Trigonometry

Find exact value of each expression sec^-1 (2root3) / 5 I have no idea what to do to make that into a value. I know that sec^-1 is in quadrants one and two, but I'm not sure how to use that to solve the problem. Thank you!

### trigonometry

A line AB, 125 feet long, is measured along the sraight bank of a river. A point C is on the opposite bank. Angles ABC and BAC are found to be 65° 40' and 54° 30' respectively. How wide is the river?

### Maths - trigonometry

if sec theta*sin(36° + theta )=0 , find the value of theta so that theta and 36°+theta are acute angles

### Trigonometry

Solve the trigonometric equations. 1.) SIN²x(CSC²x-1) 2.) COT x SEC X 3.) COS²[(π/2)-x]/COS X (Note: These mathematical problems are somewhat tricky, but useful for students as of learning how to their fundamental identities. Let's enjoy solving these problems!)

### trig

in the diagram below.A,B and C are three points in the same horizontal plane and AD is a vertical tower.AC=AB=x and DC=DB.the angle of elevetion of D from C is alpha and DB^C=theta 1.express DC in terms of x trigonometry value of alpha 2.prove that BC=2xcostheta/cos alpha

### trigonometry

im really stuck on these, can anyone help me and also explain how to solve them: Find the exact values of s in the given intervals that have the given circular function values. 1. [pi/2, pi]; sin s=sqrt2/2 2. [pi/2, pi]; cos s=-sqrt3/2 thnks:)

### Algebra 2 with trigonometry

A baseball diamond is a square 90 feet on a side. The pitcher's mound is 60.5 feet from home. How far does the pitcher have to run to cover first? (we are using the LAW OF SINES AND COSINES)

### Math - Trigonometry

The Earth travels in a circular orbit around the Sun at 29.79 km/sec. If the radius of the orbit is 1.496 108 km, what is the angular velocity in radians/sec? (Round to three significant digits.)

### math trigonometry

Simplify the following expression to a single trigonometric term sin(360-x)*tan(-x)/cos(180 x)*(sin^2A cos^2A) answer= -sinx*-tanx/cosx*(1) after that how do i continue?

### Trigonometry with right triangles

Given the value of cos 25° ≈ 0.9063, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of complementary angles. cos 25° =___ ° ≈ ____

### trigonometry

A television antenna is on the roof of a building, the angle of elevation of the top and the button of the antenna are 51 degrees and 42 degrees respectively.How tall is the antenna?

### Trigonometry

Given that sin alpha = 15/17 and -360 <alpha<360 find all values of alpha to two decimal places. Help Please!

### Math - Trigonometry

A 2m long ladder leaning against a wall makes an angle of 38 degrees with the wall. how far is the base of the ladder from the wall?

### trigonometry

from a point 35 meter from a building and 2 meter above the ground, the angle of the elevation of the top of the building is observed to be 60 degrees. what is the height of the building?

### Trigonometry college

Use a calculator to solve csc (theta) = -3. I know the answer is 3.48 and 5.94 but I need the steps to take on the calculator to arrive at the answer. I have a ti-84 calculator. thanks!

### Trigonometry

A 22-foot ladder leans against a house. The top of the ladder is 12 feet above the ground. Find the angle the ladder makes with the ground.

### Trigonometry

Given the equation 2cos^2x+sinx-1=0 1. Explain why this equation cannot be factored. 2. Use a trigonometric identity to change the equation into one that can be factored.

### Math

This is trigonometry: A tree's height is unknown so we have to solve for the height of the tree. The tree casts a 11m shadow. And the angle of the triangle is 36 degrees.

### Trigonometry

a. Use graphs to decide if the equation is an identity. b. If the equation is not an identity, find a value of the variable that makes the equation false. sin(pi/2+Beta)=1+sinBeta

### Trigonometry

point A and B are 100m apart and are of the same as the foot of a building. the angle of elevation of the top of the building from point A an B are 21 degrees and 32 degree respectively. how far is A from the building