Question

Find the area of the sector formed by the given central angle  theta in a circle of radius r.

 

 

 

theta = pi/5  , r= 6m

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Trigonometry

Other

Related Trigonometry Q&A

Find answers to questions asked by students like you.

Q: Think About It Because f(t) = sin t andg(t) = tan t are odd functions, what can be said aboutthe fun...

A: Given : It Because f(t) = sin t and g(t) = tant are odd functions,   h(t) = f(t)g(t) = sint tant   T...

Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)...

A: Given vector V→=3, -3

Q: Convert each of the following to radians without using a calculator.       70  0

A: We have to convert into radians: 70° We know the relationship between radians and degrees, π radians...

Q: Find (if possible) the complement and supplement of each angle. (If not possible, enter IMPOSSIBLE.)...

A: When the sum of two angles is 90°, then the angles are known as complementary angles. Two Angles are...

Q: For the equation y = 3 - cos (x - π/4), identify the horizontal shift and verticalshift. Then use th...

A: The given equation is y = 3 - cos (x-π/4). We need to find the horizontal shift and vertical shift. ...

Q: 1. Given the B= 5/13 in QII and (6,-8) is on the terminal side of a, find the exact value f sin(a+B)...

A: Given that, sin beta = 5/13 Angle 'beta' lies on the QII, where (sin beta) > 0 and (cos beta) &lt...

Q: Solving a Trigonometric Equation InExercises 49–56, find the solutions of theequation in the interva...

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: Graph the path of the human cannonball if the initial velocityout of the cannon is 50 miles per hour...

A: Given: Initial velocity is V0=50 miles per hour. Angle of projectile θ=60°. The parametric equatio...

Q: If sin A = 1/5 find cos 2A

A: Click to see the answer

Q: All changes saved You can use the recursion z, = and the process of iteration to estimate the value ...

A: Click to see the answer

Q: Trigonometry Question

A: We have the given integral as The integrand is a improper rational function, as the degree of the n...

Q: For each of the following one-to-one functions, find the equation of the inverse. Write theinverse u...

A: Inverse trigonometry: f(x)=7-x2Let y=f(x)x=f-1(y)

Q: -sin^2(x)=cos(2x) from [-pi, pi]

A: Click to see the answer

Q: Rate of Change The rate of change of the functionf(x) = sin x + csc x is given by the expressioncos ...

A: Consider the provided information, Consider the provided information, cosx-cscx cotx Show that the e...

Q: A plane flying at an altitude of 6 miles above an antenna on level ground is on a path that will tak...

A: Let us consider the points to write d as a function of x.Let A be the point where the plane is direc...

Q: Find the exact value of each trigonometric function. #18

A: Given: cos(300ο)=?

Q: (a3 − 13a2 + 40a + 14) ÷ (a − 7)

A: I will solve this division problem using long division method.

Q: Finding Arc Length In Exercises 51 and52, find the length of the arc on a circle ofradius r intercep...

A: Click to see the answer

Q: Finding a Reference Angle In Exercises47–54, find the reference angle θ′. Sketch θ instandard positi...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: A pair of parametric equations is given. x = 2t, y = t + 4 (a) Sketch the curve represented by the p...

A: Click to see the answer

Q: For triangle FGH, the measure in degrees of angles F, G, and H are 86, 32, and 3x + 5 respectively. ...

A: Given ,  For triangle FGH, ∠F = 86°  ∠G = 32° ∠H = (3x + 5)° We have to find the value of x  We know...

Q: Height A ladder that is 20 feet long leans against theside of a house. The angle of elevation of the...

A:   Height A of the ladder that is 20 feet long It leans against the side of a house. The angle of ele...

Q: Using an Inverse TrigonometricFunction In Exercises 39–44, use aninverse trigonometric function to w...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Use addition of y-coordinates to sketch the graph of each of the following between x =0and x = 4p.  ...

A: Given- y=13x+cosx To use- Addition of y-coordinates to sketch the graph of each of the following bet...

Q: Railroad Grade A train travels 3.5 kilometers on astraight track with a grade of 1.2° (see figure). ...

A: 41. Consider the figure with the cube of side length a. Determine the angle between the diagonal of ...

Q: Convert -78.48 to radians. Round to the nearest hundredth.

A: Given: θ = -78.48° To convert: The given angle in radian.

Q: If Sin(A)=Cos(3A) then Cot(4A)

A: Given  Sin A=Cos 3A To evaluate Cot 4A=?

Q: Converting to Sines and Cosines InExercises 31–36, verify the identity byconverting the left side in...

A: Click to see the answer

Q: Graph one complete cycle for each of the following. In each case, label the axes so that theamplitud...

A: Consider the function: y=-2sinπ2x                                                                   ...

Q: For the function y = d + a cos(bx − c), d represents a ________ ________ of the basic curve.

A: For the function y = d + a cos(bx - c), d represent a ............... of the basic curve.

Q: Show that each of the following is true.sin (180 degree - theta ) = sin theta

A: Click to see the answer

Q: can someone please help me with this equation the image is at right there!

A: Click to see the answer

Q: Evaluating Trigonometric Functions In Exercises13–18, the point is on the terminal side of an anglei...

A: " Since you have asked multiple question, we will solve first question for you. If you want any spec...

Q: 1/cot^2(x) - 1/cos^2(x)

A: To evaluate 1/cot^2(x) - 1/cos^2(x)

Q: Graph y = sin-1 x, and indicate the coordinates of three points on the graph. Give the domain and ra...

A: The graph is shown below:

Q: Docking a Boat A boat is pulled in by means ofa winch located on a dock 5 feet above the deck of the...

A: Let s be the length of the rope and θ be angle of elevation from the boat to the winch Given that, t...

Q: Find the equation of the line that passes through the origin and makes a 60° angle with the x-axis.

A: Given, The line is making 60∘angle with the x-axis. Point through which line is passing = (0,0)

Q: Cost, Revenue, and Profit A roofing contractorpurchases a shingle delivery truck with a shingleeleva...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Solve 2 cos2 θ - cos θ - 1 = 0 for θ if 0o ≤ θ  ≤ 360o.

A: To solve: 2cos2θ-cosθ-1=0 for 0°≤θ≤360°. Solution: Solving the given equation. 2cos2θ-cosθ-1=02cos2θ...

Q: Write in terms of i and then simplify.   . Ï-16 . Ï-49

A: Given : (i - 16).(i - 49)   = i(i - 49) - 16(i - 49)   = i2 - 49i - 16i + 784   = i2 - 65i + 784   =...

Q: True or False? In Exercises 91 and 92, determinewhether the statement is true or false. Justify your...

A: Note: Here we are solving Problem 91 for another problem 92 please resubmit it again.  Given: If f i...

Q: special right triangles 45-45-90

A: Part A Here one angle is 45∘ and one is right angle , therefore third angle must be 180∘-90∘-45∘=45...

Q: Find all six trigonometric functions of theta if the given point is on the terminal side of theta  (...

A: Given, a point (-1, -2) which is on the terminal side of θ. We need to find all the trigonometric fu...

Q: Prove each identity  cos t / 1- sin t = 1+ sin t  / cos t

A: We have to prove the identity: cos t1-sin t=1+sin tcos t Taking LHS part and rationalizing the denom...

Q: Using your calculator and rounding your answers to the nearest hundredth, find theremaining trigonom...

A: It is given that cosecθ=-2.54.

Q: Physiology In the human body, the value of u that makes the following expressionzero is the angle at...

A: Given: The given expression is r4csc2u-R4cscucotu. Simplify the expression in form of cosu. r4csc2...

Q: In AAEC, G is the centroid. 9, C If EG = 6, find GB. O 2 оз о 6 9 B. E. %23

A: Click to see the answer

Q: The notation cos 2  theta is a shorthand for ( ______ ) 2

A: Click to see the answer

Q: A bicycle with 20 inch diameter wheels has its gears set so that the chain has 6 in h radius on the ...

A: Click to see the answer

Q: 7. Rewriting a Trigonometric ExpressionRewrite the expression below in terms of sin θ andcos θ.

A: Given : secθ1+tanθsecθ+cscθ