# trigonometry

2,077 results, page 10

### Trigonometry

Verify the identities algebraically. 1.) TAN^5 X= TAN³X SEC²X-TAN³X 2.) COS³X SIN²X= (SIN²X-SIN^4X)COS X

### Math (Trigonometry)

θ is an acute angle such that tan(θ)=1/4. What is the value of 17√17*(sinθ+cosθ)?

### algebra & trigonometry

The area of a rectangle is 12 square inches. The length is 5 more than twice the width. Find the length and the width. Thanks

### algebra & trigonometry

The area of a rectangle is 28 square inches. The length is 8 more than thrice the width. Find the length and the width. Thanks

### Trigonometry

Let (7,-3) be a point on the terminal side of theta. Find the exact values of cos of theta, sec of theta and cot of theta?

### Trigonometry

oN A LEVEL GROUND, A 5FT. PERSON AND A FLAGPOLE CAST SHADOWS OF 10 FEET AND 60 FEET RESPECTIVELY. WHAT IS THE HEIGHT OF THE FLAGPOLE?

### Pre-Calculus/Trigonometry

give an example of an arithmetic sequence also give an example of a system of equations with no solutions

### Trigonometry

Can you show steps on deriving the identity from the sum and difference formulas for cosine: sin a sin b = (1 / 2)[cos(a – b) – cos(a + b)]

### Trigonometry Help please

1.Explain the relationship(s) among angle measure in degrees, angle measure in radians, and arc length.

### Trigonometry with right triangles

Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F. m∠DEF = 60°. A √3 B √6 C √2 D √3 √2 *line in between answer D*

### trigonometry

Find the exact value of each expression(no calculator): 1) sin^2(30degrees) + 1/sec^2(20degrees) 2) sec(50degrees)*cos(50degrees)

### Trigonometry

A painter needs to cover a triangular region 62 meters by 68 meters by 70 meters. A can of paint covers 70 square meters. How many cans will be needed?

### trigonometry

Complete the square to Solve Quadratic Equation: Solve the equation. Express the answer in simplest radical form. -x^2-7x=-11 Please Help!!!! Thanks.

### trigonometry

Complete the square to Solve Quadratic Equation: Solve the equation. Express the answer in simplest radical form. -x^2-7x=-11 Please Help!!!! Thanks.

### Trigonometry

Cos D= -3/4. if the sine of the angle is positive, find the sine of the angle and determine the quadrant. Can anyone tell me the steps. I need to learn this.

### Trigonometry Help

Simplify: sin(x-y)cosy+cos(x-y)siny = (sinxcosy-cosxsiny)cosy+(cosxcosy+sinxsiny)siny = ??? What do I do next??? Please Help and Thank You

### Trigonometry

A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without bending?

### Maths-Trigonometry

a kite is attached to a string that is 15m long. If the string makes an angle of 26 degrees to the horizontal the height of the kite is.

### Trigonometry

The value V, of a $100,000 investment that earns 3% annual interest is given by V=f(t) where t is in years. How much is the investment worth in 3 years

### Trigonometry

A ship is 50 miles east and 35 miles south of port. If the captain wants to sail directly to port, what bearing should be taken?

### Math (Trigonometry)

θ is an acute angle such that tan(θ) = 12. What is the value of 5√5⋅(sinθ+cosθ)?

### Trigonometry

a car travels N28 degrees 20 minutes for 86 km and then N61 degrees 40 minutes W for 124 km what is its distance and bearing from the sticking point

### Trigonometry

Find tan theta if theta is an angle in standard position and the point with coordinates (â€“12, 5) lies on the terminal side of the angle.

### Math-Trigonometry

The angles of elevation to the top of a mountain are measured from beacons A(22°) and B(40°) at sea. If the beacons are 125m apart, how high is the mountain?

### Trigonometry- ??????

If vector a= (10,10) and vector b= (4,5) then ||a+b|| ≠ ||a|| + ||b||. Explain. I don't understand what this question is exactly asking, and I'm not sure how to answer it. Please explain. Thank you very much!!!

### trigonometry

A plane flew 50 km on a bearing 63° 20', and then flew on a bearing of 153°20' for 120 km. Find the distance between the starting and ending point.

### Trigonometry

24. Let cscθ = 5 with θ ∈QII and find the following. *use double identity a) cosθ b) cotθ

### Trigonometry

A sine function has an amplitude of 4/7, period of 2pi, horizontal shift of -3pi, and vertical shift of 1. What is the y-value of the positive function at x= pi/2?

### Trigonometry

Which Triangle has 2 solutions? a. A=130 degrees, a=19, b=11 b. A=45 degrees, a= 4(sqrt 2) b=8 c. A=32 degrees, a=16, b= 21 d. A=90 degrees, a=25, b=15 I really don't know how to do this one so I can't put what my answer is.

### Trigonometry

Solve for x in the interval 0<=x<360: 1. 2sin2x+cosx =0 2. cos2x=-2sinx 3. tanx=2sinx 4. 3cos2x+cosx+2=0

### Trigonometry

Given Triangle ABC: Right Triangles 1. If a = 6 and <B = 53º, find b, c, and <A 2. If c = 13 and b = 12, find a, <A, and <B 3. If <A = 20º and b = 10, find <B, a and c 4. If c = 30 and <A = 40º, find <B, a

### Trigonometry

Solve the equation on the interval 0 <= theta < 2pi for cot (theta) = 2. I know the answer is .46,3.61, but I don't know how to arrive at that answer on a ti-84 calculator.

### trigonometry

Derive the identity cot² A+1= csc² A to derive this identity does it mean to change the cot^2 A + 1 into csc^2 A ??

### trigonometry...........

Prove the following identity:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx

### trigonometry

Simplify and write in standard form. 1.) (radical 3 + i radical 15)(radical 3 - i radical 15) 2.) 8 + 16i / 2i Thanks again everyone. Any help is appreciated.

### trigonometry

14. Solve sin 2x + sin x = 0 for 0 ≤ x ≤ 2π. 21. Write 2sin37°sin26° as a sum (or difference).

### Trigonometry

A car wheel has a 13-inch radius. Through what angle does the wheel turn when the car rolls forward 4 ft?

### Trigonometry

On a level ground, a 5 ft. person and a flagpole cast shadows of 10 feet and 60 feet respectively. What is the height og the flagpole?

### math trigonometry

If cos 20=m determine the values of the following in terms of m. (a) cos(-200) (b)sin 250 (c)sin 20 thanks

### trigonometry

The length of AB is 1 mulliken (10 inches) on ΔABC. Calculate the lengths of AC = _____________ mullikens and BC = _____________ mullikens.

### trigonometry

From a ship, the angle of elevation of the top of the lighthouse is 30 45. What is the horizontal distance of the ship from the lighthouse is 42 meters tall?

### Trigonometry

Evaluate please: a.) arcsin(sin 13pi/16) b.) arccos(cos[-pi/18]) c.) arcsin(sin pi/18 d.) arcsec(-√2) e.) arctan(-√3/3)

### trigonometry

if the vertex of an isosceles triangle is 80 degrees and the side opposite the vertex measures 12 cm, determine the perimeter of the triangle

### Math trigonometry

8sin^2theta+10 sin theta cos theta =3cos^2 theta=0 then general solution for theta is

### Trigonometry

Help trig question involving discriminant? a)Find the value of the discriminant. b)Use any method to find the real roots of the equation if they exist. 2x^2+7x=0

### Trigonometry

Your altitude is 40,000 feet and you detect a target at a depression angle of 6 degrees and a range of 20 miles. what is the altitude of the target? Draw a picture.

### Trigonometry

You are given a right triangle. The Opposit side length is 7 and the hypotenuse length is 9. What is the degree of the bigger angle? (The one closest to the 90* angle)

### Trigonometry

You are given a right triangle. The Opposit side length is 7 and the hypotenuse length is 9. What is the degree of the bigger angle? (The one closest to the 90* angle)

### Trigonometry

in a diagram, PRS is a straight line. PQ = 9.2 cm, QS= 7.6cm and angle QPR =38 degrees.QR is perpendicular to PS. Calculate angle PQS to nearest 0.1 degrees

### trigonometry

Been trying this forever so it says: Simplify 1+sin2x+cos2x/1+sin2x-cos2x ive tried this problem so many times I need help with it...

### Trigonometry

A plane is 160 miles north and 85 miles east of an airport. If the pilot wants to fly directly to the airport, what bearing would be taken?

### Trigonometry

Write the quadratic function whose zeros are: 1. 2+square root of 5, 2-square root of 5 2. 3+7i,3-7i 3. 5±i Please tell me how to get them. I have no clue on how to solve them.

### trigonometry

Write the quadratic function whose zeros are: 1. 2+square root of 5, 2-square root of 5 2. 3+7i,3-7i 3. 5±i Please tell me how to get them. I have no clue on how to solve them.

### Trigonometry (Coterminal Angles)

What is the SMALLEST POSITIVE ANGLE that is coterminal with the angle having the radian measure of -10π/3? Is there any solution for this kind of question?

### Trigonometry

Sarah used her calculator to find sin125 degree. She wrote down sin125 degrees = -.57. How could Sarah recognize that her answer is incorrect?

### Trigonometry

In a parking garage, there are 20 feet between each level. Each ramp to a level is 130 feet long. Find the measure of the angle of elevation.

### Plane trigonometry

A pulley having a diameter of 36 cm is turned by a belt that moves at the rate of 5m/sec . How many revolutions does the pulley make per/sec?

### trigonometry

You are to run a conduit diagonally cross a parking lot that is 200 ft log and 60 ft wide. How much conduit will you need to complete this run?

### Trigonometry

AN AIRPLANE IS FLYING AT A HEIGHT OF 1000 m. THE ANGLE OF DEPRESSION OF AIRPORT A FROM THE PLANE IS 15°. CALCULATE THE HORIZONTAL DISTANCE BETWEEN THE AIRPLANE AND THE AIRPORT.

### Trigonometry

A TREE STANDS ON HORIZONTAL GROUND. THE ANGLE OF ELEVATION OF THE TOP OF THE TREE FROM A POINT 50 m AWAY FROM THE BASE OF THE TREE IS 11.3°. CALCULATE THE HEIGHT OF THE TREE.

### trigonometry

A 15-foot ladder is resting against a wall and makes an angle of 48 degree's with the ground. Find the height to which the ladder will reach on the wall

### Right angle trigonometry

A sailor sights both the bottom and top of a lighthouse that is 20 and m high and which stands on the edge of a cliff. The two angles of elevation are 3 and 42. To the nearest meter, how far is the boat from the cliff?

### Trigonometry

Can you please help me verify these? >sin7x-sin5x= tanx(cos7x-cos5x) >(1-cosx)cot(1/2x) = sinx >1+tanx tan(x/2) = secx Its very confusing because of all the double-half angle formulas >_<

### Trigonometry

over which of the following domains is f(x) = csc(0.1x + 1.2) defined at all points and invertible? x = [0,10] x = [10,20] x = [20,30] x = [30,40] Can someone please explain how to solve this to me and show me all the steps rather than simply giving me the answer so I can ...

### Trigonometry

An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are 4° and 6.5°. How far apart are the ships?

### trigonometry

Peter has three sticks measuring 19 inches, 23 inches, and 27 inches. He lays form a triangle. Find the measure of the angle enclosed by the 19 inch and 23 insides to the nearest degree.

### Trigonometry

The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building.

### Trigonometry

Consider angle C such that sin C= 7/25 Sketch a diagram to represent angle C in standard position if cos C is negative Find the co-ordinates of a point P on the terminal arm of angle C.

### trigonometry

convert the polar equation r^2=2cos^2theta + 3sin^2theta into a rectangular equation

### trigonometry

find the polar form of the complex number: square root 3 minus square root 3i

### Trigonometry

Prove that tan (Beta) sin (Beta) + cos (Beta) = sec (Beta) Please explain.

### Trigonometry

use the double angle formula to rewrite. 6cos^2-3 and (cosx +sinx)(cosx-sinx)

### Trigonometry.

Use the given information to evaluate cos (a-b). Cot a = 3/4, cot b = 24/25; pi<a<3pi/2, 3pi/2<b<2pi.

### Trigonometry

Evaluate the expressions a. arctan(-(sqrt3)) b. Arctan(-(sqrt3)) and tell the difference between the two...

### Math - Trigonometry

I need help proving this identity cscx + secx = (cosx + sinx)(secx)(cscx)

### trigonometry

the wind blows toward 40 degrees with a velocity of 50kph. what is the vertical component of the wind's velocity?

### Trigonometry

Simplify cos{A + (n-3/2)B} - cos{A+ (n+3/2)B}

### trigonometry

find v +u if vector =<6,8>and vector for u + <2,1>

### Trigonometry

Simplify sin{A + (n+1/2)B} + sin{A+(n+1/2)}

### trigonometry

is sin^(2)x the same as sin(x)^2?

### Trigonometry

What is sin(cos^-1 a) when 0 < cos^-1 a < 90

### trigonometry

tanx/2=tanx/secx+1

### trigonometry

Show that: sin^2(45 + A) + sin^2(45 - A ) = 1

### trigonometry (repost) Mathmate

I want to start by saying thank you . You have no idea how much u have helped me understand logarithms, even better then the books i have (it poorly explains the subject of trigonometry let alone logarithms and antilog). Your last explanation was very clear and i even ...

### trigonometry

find the values of y if the distance between the two points (10,y) and (16,2) is 10. i wrote down the distance formula: 10=SQRT(16-10)squared + (2-y)squared now how do i solve for y??

### Trigonometry

How do you verify the equation is an identity? Tan^2x-tan^2y=sec^2x-sec^2y and, how do you factor and simplify, cscx(sin^2x+cos^2xtanx)/sinx+cosx

### Trigonometry

A plane is headed due east with airspeed of 240 mph. if a wind at 40 mph is bloiwing from the north , find the ground speed of the plane.

### trigonometry

A person is standing 21 feet from a building. The angle of elevation between the person and the ground is 59°. Find the height of the building. (Round to the nearest hundredth)

### trigonometry

the end of a pendulum of length 40cm travels an arc length of 5 cm as it swings through an angle alpha.find the measure of the central angle

### Algebra and Trigonometry

A plane if flying at 200 mph with a heading of 45 degrees and encounters a wind of 100 mph from the west. What is the resulting velocity and heading?

### Trigonometry

ABC is a right triangle with AB = 2, BC = 3\sqrt{5}, AC = 7 and \angle ABC = 90^\circ. If \cos \angle BAC = \frac{a}{b}, where a and b are coprime positive integers, what is the value of a + b?

### Trigonometry

What is the maximum integer value of x, where x<200, that satisfies the following inequalities: sin(90+180x/100)<0 and tan(180−180x/100)<0 ?

### 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

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

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.