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# Trigonometry

### Solving Trigonometic Equations

Please see the attached file for the fully formatted problems. 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit. Show work here:

### Solving Trigonometric Equations: Find Radians and Degrees

Please give a detailed explanation. Please see attached file for full problem description. Find the following exactly in radians and degrees in the restricted range [0, (see attached file). tan-1 (-1) See attached file.

### Solving Trigonometric Equations

Please give detailed explanation. Please see attached file for full problem description. Solve, finding all solutions in [0, 2&#61552;) and [0, 360&#61616;). Express solutions in both radians and degrees. tan &#61553; = 1 / &#61654;3

### Solving Trigonometric Equations

Solve, finding all solutions in [0, 2&#61552;) or [0, 360&#61616;). 12cos2 &#61553; + 8cos &#61553; + 1 = 0 A). &#61553; = 60&#61616; and 240&#6161

### Trigonometry : Angle Conversions and Word Problems

Please see the attached file for the fully formatted problems. MTH212 Unit 5 Individual Project - B 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full

### Asymptotes of Rational Functions and Inverse Trigonometric Functions

1) Rational functions, graph and show asymptotes. a) r(x)=1/x-4 b) r(x)=2x/1-x^2 c) r(x)= x^3+1/x^2-1 2) Define the inverse trigonometric functions for sinx & cosx.

### Small Strain Theory: Impulsively Loaded

Please see the attached file for the fully formatted problems.

### Mathematics: Evaluating Trigonometric Functions

Find the exact value of sin 2&#61553;, cos 2&#61553;, tan 2&#61553;, and the quadrant in which 2&#61553; lies. sin &#61553; = - /10, &#61553; in Quadrant IV A). sin 2&#61553; = 0.6; cos 2&#61553; = -0.8; tan 2&#61553; = -0.75; 2&#61553; in Quadrant II B).

### Trigonometry : Sum and Difference Identities

Use the sum and difference identities to find the exact value of cos(75&#61616;) exactly Which of these is the correct answer? A. &#61654;2 (1- &#61654;3)/2 B. &#61654;2 (&#61654;3-1)/2 C. &#61654;2 (1- &#61654;3)/4 D. &#61654;2 (&#61654;3-1)/4 [show the steps in completing this problem]

### Show that, for all values of the constant k, the equation tan(&#952;+60) tan(&#952;-60) = k^2 has two roots in the interval ...

Show that, for all values of the constant k, the equation tan(&#952; + 60) tan(&#952; - 60) = k^2 has two roots in the interval ......

### Areas under the Curves of Trigonometric Functions

Please do problems numbered : 1,13,19,22,27,33,37,39.

### Trigonometric Equations

.............................................................................................................. Solve the problem cos 5x / 2 + cos 3x/2 2 sin 2x sin x/2 2 sin 2x sin x 2 cos 2x 2 cos 2x cos x/2 ......................................................................................................

### Solving Trigonometric Equations

Solve the equation on the interval [0, 2pi] 1. (tan x + sqrt3)(2cos x + 1) = 0 2. sin 4x = sqrt3/2

### Spherical Symmetry, Wave Equations and Continuity

Please see the attached file for the fully formatted problems. I accept the possibility that there is a typo in part (c) and that instead it asks you to show that u_t is discontinuous at (0,a/c) instead of u.

### Exponential and Trigonometric Proof

Why is e^ik(Pi) = e-ik(Pi)?

### Trigonometry Word Problems for Baseball

The distance from home plate to dead center field in Sun Devil Stadium is 401 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it first base to dead center field. Solve the problem. One number is 6 less than a second number. Twice the second number is 48 more than 5 tim

### Inverse Trigonometric Functions and Appropriate Values

Please explain steps and formula. Only 12, 13, 14, 15. See the attached file.

### Depth Object Trigonometry

Can you tell me how to find the depth of the of the V in this object?

### Trigonometric Representations of Angles

Find cos(2(theta)), sin(theta) = 20/29, theta lies in quadrant I. Find cos(2(theta)), csc(theta) = 5/3, lies in quadrant II. Find another representation, (r,theta), for the point under the given conditions. (6, (3.14/3)), r>0 and 2pi <theta <4pi

### Trigonometry : Angles and Lengths

MTH212 Unit 5 Individual Project - A 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive full credit. Work shown here:

### Trigonometry has many applications in the real world. One particular area in which it can be used is in architecture.

Trigonometry has many applications in the real world. One particular area in which it can be used is in architecture. If you were an architect, describe a specific situation in which you could use right triangle trigonometry to help you design a new hospital. Give a specific example and explain how right triangle trigonometry co

### Transformations of Graphs of Trigonometric Functions

Describe the transformations required to obtain the graph of the given function from a basic trigonometric graph. 43. y=0.5 sin 3x How do you come up with the following answer? starting from y=sinx, horizontally shrink by 1/3 and vertically shrink by 0.5 45. y= -2/3 cos x/3 How do you come up with the following answer? s

### Trigonometry and Plotting Trigonometric Equations

Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is 5.7 centimeters and the radius of the larger wheel is 18.1 centimeters. Through how many degrees will the larger wheel rotate if the smaller one roatates 151 degrees? ans. 47.55 deg

### Trigonometry

Please see the attached file for the fully formatted problems. MTH212 Unit 5 Individual Project - A 1. The following chart shows some common angles with their degrees and radian measures. Fill in the missing blanks by using the conversions between radians and degrees to find your solutions. Show all work to receive fu

### Expressing trigonometry function in algebraic form

Write the given expression in algebraic form sin(arctan x/4)

### Trigonometric Identities, Solving Triangles, Focus, Directrix, Sequences , Sums and Derivatives

Complete the identity (see attached) a. sin q tan q b. -2 tan 2q c. 1+cot q d. sec q + csc q Complete the identity. Sin(a+b) cos b - cos(a+b) sin b a. sin a b. sin a b-sin a b c. 2 sin b cos b(sin a - cos a) d. sin a cos b - cos a sin b Solve the triangle. Round lengths to the nearest tenth and angle meas

### Trigonometric Limit Functions

Graph the function f(x){sin pi/x if x is not equal to o {0 if x = 0 where -0.2<=x<=0.2. then graph f(x) where (x) varies over a smaller interval, for example, -.06<=x<=0.06. determine lim as x approaches o of sin(pi/x) if it exists. describe in a paragraph the behavior of the values of

### Mathematics - Trigonometric Equations - Solutions

Solve for x 1.) 2^(x-5)=3 I know the answer is: log(base 2) of 3 +5 or 5+(ln3/ln2) but I can't figure out how to get it 2.) lnx+ln(x-1)=1 Answer: (1+square root(1+4e))/2 (Don't understand how to get that) 3.) Simplify the expression tan(inverse sinx) Answer: x/(sqaure root(1-x^2)) (Don't kno

### Slope of Incline, Power and Energy

A. A tank of mass 80 metric tons is travelling at a uniform speed of 54 KM/hr on a level terrain. It then starts travelling uphill on an incline of 1 in 10 (sine slope). Calculate the extra power required from the engine in megawatts to maintain the same speed on the incline. b. When it has travelled 100m up the incline the d

### Speed Unit Conversions

1540 mm/microseconds = ___________ m/s 1 X 10^5 cm/mlliseconds = _______1050____ m/s If a sound wave travels through soft tissue at a velocity of 1.54 mm/microsecond for 2203 ms, How far has the sound wave traveled using the echo-ranging formula d=ct, where d= distance, c= velocity, t= time Using the same formula