Use exact values to show that each of the following is true.    sin 60 degree = 2 sin 30 degree cos 30 degree

Q: The smallest positive solution of the 3 sin(2z- 1)- 1 = 0

A: Given: 3sin(2x−1)−1=0

Q: Use a calculator to approximate csc (- 304 degree).     0.8290

A: Given to find the value of   csc-304° The trigonometric ratios used here are   cscx=1sinxsin-x=-sinx

Q: A population of animals oscillates sinusoidally between a low of 600 on January 1 and a high of 1500...

A: From the given information:     To calculate the amplitude, A=1500-6002=9002A=450

Q: If cos theta = 1/4 find cos 2 theta   16

A: cosθ=14

Q: - Evaluating Trigonometric Functions Find the exact value of the trigonometric function at the given...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Map Distortion. A map is a 2-dimensional “ flat" representation of a states and roads that are on th...

A: Assuming the earth's in 2D, the distance between two points on surface is given as below, To find t...

Q: How many square yards of canvas will be required to make a conical tent 15 ft. high and 17 ft. in di...

A: Given that the height (h) of conical tent = 15 ft and the diameter is 17 ft, To calculate the radius...

Q: If x = 5 tan theta ,  Write the expression  theta / 2 - sin 2 theta /4 in terms of x

A: Known fact: sin2θ=2tanθ1+tan2θ

Q: Find theta if theta is between 0° and 90°. Round your answers to the nearest tenth of a degree.   co...

A:

Q: Use the given information and your calculator to find u to the nearest tenth of a degree if0 degree,...

A: The given equation is cosecθ=-2.3228 This implies that θ=cosec-1-2.3228

Q: Using the following figure, find z. 10 a) O 2V14 b) O 14 c) O 2/10 d) O 2/35 e) O None of the above

A: In the given tight angles triangle, Use Pythagoras theorem to get z  

Q: An equation is given. Enter answers as a comma separated list & Let k be any integer. round term...

A: The given equation is 23cos3θ=1. (a) Obtain the all solution of the equation as follows: 23cos3θ=1co...

Q: Which expression is equivalent to sinβcscβsecβ for all values of β for which sinβcscβsecβ is defined...

A: According to reciprocal identity csc x=1sin x

Q: Find all solutions of the equation 2sin2x−cosx=12sin2⁡x−cos⁡x=1 in the interval [0,2π).

A: Given equation - 2sin2x-cosx = 12sin2x = 1+cosx21-cos2x = (1+cosx)                         sin2x+cos...

Q: Use a calculator to find each of the following. Round all answers to four places past thedecimal poi...

A: Given- tan 42°15' To find- The value of the above trigonometric expression using calculator to four ...

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C 5 90°given the f...

A: Given that a=1,b=2. Draw the △ABC with C=90° as shown below:

Q: The smallest positive number for which tan(3z) = 1 is z = .The next larger such number is z =

A:

Q: Can you please help me with the questions in the picture

A: the function f(x)=asinx+b. the function g(x)=dcosx+e. the sketch of the functions are:

Q: Write each equation in polar coordinates. Then isolate the variable r when possible.   x2 +y 2 = 6x

A:

Q: For cos z cos 3z - sin z sin 3z =0, use an addition or subtraction formula to simplify the equation ...

A: cosx cos3x-sinx sin3x=0

Q: Q55, chap 7.2. "Find all solutions in radians using exact values only for tan^2(3x) = 1 I did it the...

A: Given, tan23x=1

Q: Solve the equation on the interval 0 s 0 < 2n. tan2 e = - sec Ө

A: To solve the given equation  

Q: Find the value of r, given DE || BC AD = x + 20, BD = x + 8, AE = 18, and CE = 10. A a) О8 b) 09 c) ...

A: Here, given that,DE∥BC, thus, ADDB=AEECx+20x+8=1810x+20x+8=955x+20=9x+85x+100=9x+729x-5x=100-724x=28...

Q: Evaluate each expression without using a calculator, and write your answers in radians.       arcos ...

A:

Q: How do you solve number 12 step by step?

A:

Q: 10. Find the amplitude, period, phase shift, and graph at least one complete cycle for y=3sinx+- 2 4...

A: Given: y = 3 sin12x +π4  To find: Amplitude Period Phase shift

Q: In a right triangle, the longest side opposite the right angle is called the _________and the other ...

A: Consider a right triangles.

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer...

A:

Q: The smallest positive number for which sin(2z) – sin z = 0 is I = Hint: Apply a multiple angle or di...

A:

Q: Convert each equation to polar coordinates and then sketch the graph.      x2 +y2 =25

A: We have to write polar coordinates and have to draw the graph: x2+y2=25 since it is a equation of ci...

Q: Fliminate the parameter t =sect tant

A: We have to eliminate the parameter t where, xt=sec tyt=tan t In case of eliminating the parameter we...

Q: Without using a calculator, can you help you find the exact value of this equation?

A:

Q: Use the unit circle and the fact that sine is an odd function to find each of the following:        ...

A: Since sine is an odd function, and for odd function f(-x)=-f(x) Therefore sin(-θ)=-sinθ

Q: Use the product to sum formula to fill in the blanks in the identity below: sin(10z) cos(7) = (sin( ...

A:

Q: Question 18 Solve the equation on the interval 0 s 0 < 2n. 2 sin? 0 = 3(cos 0 + 1) o f

A: Consider the given equation, 2sin2θ=3cosθ+1 Convert the equation cosine form. 2sin2θ=3cosθ+121−cos2θ...

Q: Find equation of graph

A:

Q: Evaluate each expression below without using a calculator. (Assume any variables repre-sent positive...

A: The given expression is cos2tan-13.  

Q: A radian is the measure of a central angle in a circle that cuts off an arc equal in length tothe __...

A: Fill the blank

Q: A river is flowing due east at 5 mi/h. A man heads his motorboat in the direction N 30° E in the riv...

A: Sketch the figure and resolve the vectors.  

Q: A water pail 12 in. high is in the form of a frustum of a cone. If the diameters of the bases are 10...

A: We have to find capacity of frustum of a cone, which dimension is given as: h=12 in.d=10 in.D=12 in....

Q: First, determine the quadrant for 0; then find x, y, and r; and finally, give all six trigonometric ...

A: Identify the signs of the trigonometric functions sine and cosine, to determine the quadrant for θ. ...

Q: Trigonometry Question

A:

Q: the accompanying figure, find side x to the nearest hundredth millimeter. All dimensions are in mill...

A: Given

Q: Distance Between Two Ships Two ships leave a harbor entrance at the same time. Thefirst ship is trav...

A: we can represent the movement of the ships along given directions using a diagram.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.