Q: What is the Length of the arc of the circle r = sin θ that remains outside of the cardioid r = 1 —…

A: Arc lenght in polar curves: The formula to find the arc length is, Arc length=∫θ1θ2dxdθ2+dydθ2dθ…

Q: A string of a kite is 180 meters long and it makes an angle of 75° with horizontal. Find the height…

A: use trignometric ratio

Q: Find an angle between 0' and 360 that is cotermir 460° is coterminal to - 145 is coterminal to -…

A:

Q: Suppose the angle formed by the line y = 3x and the positive x-axis is theta. Find thetangent of…

A: The given equation of line is y=3x and theta is the angle between positive x-axis and the line.

Q: angle with sec B = %3D

A:

Q: 5. Determine two angles between 0° and 360° that have a secant of - 4. Round your answers to the…

A:

Q: The circles r = sqrt(3) cos u and r = sin u intersect at the point (sqrt(3)/2, pai/3). Show that…

A: For r=sqrt(3)cos(theta) find dr/d theta

Q: 3 Select the angles with a tangent ratio of 4 ZA ZE

A:

Q: Find the angles x such that sec x = 2.

A: Given: sec x = 2 To find: The angles x such that  sec x = 2.

Q: In a certain right triangle, the two sides that are perpendicular to each other are 4.40 m and 6.20…

A: for a triangle, two sides are perpendicular to each other which means the triangle is right angle…

Q: Find the length of the cardioid r = 1 - cos θ.

A: Arc length in polar coordinate is given by:

Q: On one side of a paved path walk is a pedestal with a flagstaff on top of it. The pedestal is 2m in…

A:

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four…

A:

Q: Show that the curves r = a sin θ and r =  a cos θ intersectat right angles.

A:

Q: Sketch a triangle that has acute angle 0. tan(0) = 2

A: See attached file for a step by step explanation.

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to…

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: Which projection of (cost, cos 2t,sin t) is a circle?

A: Which projection of (cost, cos 2t,sin t) is a circle?

Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

A:

Q: Find the angle 0 between w = cos 플 i+ sin푸 7 cos플 i + sin and %3D

A:

Q: 2. Give the values of the six circular functions of the standard angle 0 generated by an arc whose…

A: I have solved the question 2 for you as we can solve one question in one session. f you want the…

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 245∘ (x,y)…

A: We will solve the problem

Q: An angle theta in standard position has a terminal ray that passes through the point (4,7).…

A: Given:              Terminal ray passes through the point (4,7).

Q: a bird is sitting in the top of a tree that is 21 feet tall looking down at a worm on the ground…

A:

Q: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: 2. Evaluate tan 0 for angle shown. (-3,6)

A: We have to find the slope/tangent of given line.

Q: Find the area of the part of the circle r = sin θ + cos θ in the fourthquadrant (see Exercise 28 in…

A: As the given equation of the circle is r=sin θ+cos θ thus square r using the property…

Q: at.p.(I,.0)..and. the directiun. in. whichit.occurs

A:

Q: Find the tirst B secend dericatices %3D

A: y=7x55-x+8ex Differentiating with respect to x, we get dydx=ddx7x55-x+8ex=75·5x4-1+8ex…

Q: Find the coordinates of a point on a circle with radius 30 corresponding to an angle of 250∘(x,y) =…

A: The coordinates of a point on a circle with radius r corresponding to an angle of θo (x,y) = ( r*cos…

Q: A string of a kite is 100 meters long and it makes an angle of 60° with horizontal. Find the height…

A:

Q: Prove that the angle between the tangent and chord is equal to the angle in the opposite sector

A:

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A: Given that two triangles. We observe that the two triangles are right angles and two of sides of two…

Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: Given: Length starts from point (1,0) to positive x-axis, negative x-axis, positive y-axis, and…

Q: An angle u is considered positive if its terminal side has been rotated _____________from the ______…

A: If ray rotate counterclockwise direction then angle are considered positive.

Q: Express x and y in terms of trigonometric Patlos of X = y = P Type here to search

A: Use trigonometric ratio to solve

Q: Indicate the quadrants in which the terminal side of θ must lie in. A): If sin θ 0 and csc θ 0,…

A: Recall: All trigonometry-ratio are positive in 1st quadrant. Sine and cosine are positive in 2nd…

Q: than

A:

Q: Find the coordinates of a point on a circle with radius 30 corresponding to an angle of 200∘…

A:

Q: yepriate trigonomic subititution to rewrite the intya) U se in the form E sec'e de

A:

Q: A ladder placed against a walll such that it reaches the top of the wall of height 6m and the ladder…

A: Given: A ladder is placed against a wall such that it reaches the top of the wall of height 6m and…

Q: Prove that sin(x + y) # sin x + sin y by identifying one pair of angles x and y that shows that this…

A: We have to prove that, sin(x+y) ≠ sinx + siny by identifying one pair of angle x and y.

Q: Given that cos 0 = v2, and the terminal arm i %3D nteasure of the angle in standard position?

A:

Q: Apply the Exterior Angle Theorem 40° (2x+ 20)° X3D

A: Solution: The objective is to find the value of x

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to…

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: Mo is on a baseball team and here's that a ball thrown at a 45° angle from the ground will travel…

A: It is already given that the ball is thrown at a 45° angle from the ground  We know in a projectile…

Q: Find the angle in radians between the planes -2x + z = 1 and -ly+ z = 1.

A: See the answer below

Q: Locate point E such that AE = DE = AB.

A: The Solution is given below-

Q: 1. Express cos-as a cofunction of a complimentary angle 10"

A: we have the formula  sin(π/2 - x ) = cos x Now, we have given  :  cos3π/10 So , x = 3π/10

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and b is %3D %3D Round your…

A: Solution is written in below steps.