# trigonometry

2,128 results, page 11

1. ### trigonometry

tanx/2=tanx/secx+1
2. ### trigonometry

Show that: sin^2(45 + A) + sin^2(45 - A ) = 1
3. ### 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 ...
4. ### 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??
5. ### 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
6. ### 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.
7. ### 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)
8. ### 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
9. ### 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?
10. ### 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?
11. ### 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 ?
12. ### 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.
13. ### 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.
14. ### 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.
15. ### 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?
16. ### 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?
17. ### Trigonometry

The base of a trapezoid are 397.62 and 254.15 respectively, the angles that the sides make with the longer base are 68°39.2' and 72°6.0'. Find the sides and the diagonal. Need help with this pls.
18. ### 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.
19. ### 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.
20. ### 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
21. ### 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 ?
22. ### 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
23. ### trigonometry

how to solve cot theta+tan theta=csc^2theta+sec^2theta
24. ### math help trigonometry

Prove the following identity tan x cos x/sin x=1/sin x cos x
25. ### 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
26. ### 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)?
27. ### 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
28. ### 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
29. ### 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

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
31. ### 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.
32. ### 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.
33. ### 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
34. ### 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.
35. ### 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.
36. ### 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
37. ### 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.
38. ### 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.
39. ### 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
40. ### 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))
41. ### 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?
42. ### 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.
43. ### 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
44. ### 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?
45. ### 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?
46. ### 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?
47. ### 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...
48. ### 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.
49. ### 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?
50. ### Trigonometry

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

5y3 − 16y2 − 38y + 60/ 5y − 6
52. ### trigonometry

sina^2θcos^2θ= 1/8 (1-cos4θ)
53. ### Trigonometry

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

91. ### 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
92. ### 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
93. ### 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)
94. ### 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!
95. ### 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?
96. ### Maths - trigonometry

if sec theta*sin(36° + theta )=0 , find the value of theta so that theta and 36°+theta are acute angles
97. ### 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!)
98. ### Trigonometry

Given that sin(2/(√229))and that 0∘0∘ < θθ < 90∘90∘, with the aid of a diagram and without the use of a calculator determine: a) cosθcos⁡θ = b) tanθtan⁡θ = c) tanθ÷cscθtan⁡θ÷csc⁡θ = d) sinθ÷cosθsin⁡θ÷cos⁡θ = e) tanθ secθtan⁡θ ...
99. ### 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
100. ### 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:)