Trigonometry

1. A bee, after collecting nectar from a flower, flies in a straight line in the bearing S$31^\circ$ W. After flying 2.3meters, it lands on another flower, then, after collecting more nectar, it flies...

Hello !I was wondering if there would be an equation for this sort of a problem or if the solution might need to be brute forced by approximation. example image: https://imgur.com/ql9tAxEThere is a re...

There is a right triangle ABC in the plane, of which angle C is a right angle. If the the line segment through A to the midpoint of BC is on the straight line x+y=0, the line segment through B to the...

Hello!Here is a trig problem I simply do not have the knowledge to solve, please help! Here are the rules:TASK: Create a complex or simple polygon with the smallest possible perimeter adhering the fol...

I've attached a file with the expression screenshooted. The answer is supposed to be (1 + 2 sin x cos x)∧ −1. But I can't arrive at it. Help would be appreciated. 

If two weights, weight 1 = 40lbs, weight 2 = 30lbs, are fastened together and placed on inclined planes (30 degrees for weight 1, and 40 degrees for weight 2), which way will the slide? (Left or right...

A ship leaves port (position 44.67°N, 63.58°W), starting due east and continuing on the great circle. Find its position after it has sailed 1000 nautical miles. Find its direction after it has sailed...

Solve the following sherical triangle a = 122°18' b = 88°21', C = 100°16'.Note that a is the length of a side provided as an angle, while C is an angle of the spherical tirangle. Solving the tirangle...

In a right spherical triangle with C = $\pi /2$ ; , you know angles A and B . How do you find the side b? Provide the formula using Napier's Pentagram.

Calculate the distance along the great circle between Vancouver (49°15'N, 123°6'W) and Palma de Mallorca (39°34'N, 2°39'E).

Hello. I am a pipe fitter and would like some help learning how I would calculate plotting ordinances on the steel tube to cut and fit to the contour of the pipe and the steel plate. 

Hello, thank you to anyone looking at this problem. I recently took a career changing test and did not pass. One problem I'd like to be prepared for next time involves a guywire connected to the top o...

Good morning, I need help to answer question 3 and 4.also to give a drawing of SFD and BMD with information.thank you.

Hello, please could someone help my with math as I am a little stuck. thank you

Say you have a triangle with internal angles of 62°, 48° and 70° and an internal area of 250m^2 how would you solve this?Thanks!

The problem is in the files attached.I have been given the coordinates of the raindrops both start and end.My question is how do I obtain the angle, and after that how do I arrange the equation to get...

How do I prove:(1-tan^2x)/sin2x = sec^2x/tan2xsin2x/cot^2x = (tanx)(1-cos2x)sec^2x/(1-tan^2x) = tan2x/sin2x

Rough sketch: https://drive.google.com/file/d/1Fleqf4ifPyo7R8YNNatIenE7lH0_JVew/view?usp=sharing So Point A is where my Center speaker is.Point B is where I am sitting (in this case 10')The angle (15º...

A camera is mounted on a tripod 4 feet high at a distance of 10 feet from Frank, who is 6' tall. If the camera lens has angles of depression and elevation of 20 degrees, will Frank's feet and head be...

An engineer is asked to design a water sprinkler that will cover a field of 75 square yards that is in the shape of a sector of a circle of radius 12 yards. Through what angle should the sprinkler rot...

Does $x^{2}-10=x \sin{x}$ have a real solution? Solve the task without drawing a graph.Explain the solution step by step, explain how to obtain the answer from the given information methodically, clea...

5. (a) For the triangle, a=10, b=12, B=60°, labelled by convention, find all the angles and sides. (b) Solve the following, 𝑠𝑖𝑛𝜗−𝑐𝑜𝑡^2𝜗=1, express your solution in degrees in the range –180°≤𝜗≤180°, a...

𝑉 = 240sin(2𝑡)An electrical engineer needs to determine when this generator will have a voltage that is exactly +120 V. i) How many times in the interval 0 ≤ 𝑡 ≤ 2𝜋 will the voltage reach +120 V?ii) D...

The volume of object X Is V cm^3 and it’s total surface area is A cm^2. The volume of object Y, which is similar to X, is 2V cm^3. Work out the surface area of object Y in terms of the surface area of...

Evaluate \int_0^{\frac{\pi}{2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} dx.Hint: First show that for any function $f(x)$ the following formula holds