The time in seconds that it takes for a sled to slide down a hillside inclined at an angle ở is 16 sin(@) where d is the length of the slope in feet. Find the time it takes to slide down a 1900 ft slope inclined at 30°. (Round your answer to one decimal place.)

Q: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

A: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

A:

Q: 2. The water level at an ocean inlet has a depth, d, in metres, that varies with the time, t, in…

A:

Q: I need all the integrals of the trigonometric ratios

A: ∫sin x=-cos x+C∫cos x=sin x+C∫tan x =-ln|cosx|+C

Q: Use a calculator to approximate the value of the expression . tan−1(−1.3) , if possible. Round your…

A: The given expression is the inverse trigonometric expression, hence the calculator helps to find the…

Q: A kite 100ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: Explanation of the answer is as follows

Q: A kite 50ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: First I have drawn the diagram of the given situation and then using them solved the problem and…

Q: Find the equation of a sine wave in the form y = a sin(bx + c) + d that is obtained by vertically…

A: Topic- function

Q: In a circle of radius 40, find the length of the arc spanned by a central angle of E radians. Round…

A: The relationship between arc length, radius and the central angle is,                     l=rθ Where…

Q: Which shows the correct equation to solve for the measure of AC?

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=2 BC=5 AC=?

Q: The sine of an angle is equal to 0.362. What is the value of tangent for this angle? Express your…

A:

Q: In the triangle shown above, if 0 increases at a constant rate of 3 radians per minute, at what rate…

A: Pythagoras formulaa2+b2=c2a and b are the legs and c is the…

Q: Find the equation of a sine wave in the form y = a sin(bx + c) +d that is obtained by Vertically…

A:

Q: In AXYZ, the measure of ZZ=90°, XZ = 63, ZY = 16, and YX 65. What ratio represents the sine of ZX?

A: Given that right triangle XYZin which XZ=65 , ZY=16 and XY=65we have to find sin∠X

Q: Find the value of the trig function indicated. 1) tan 0 2) sin 6 7V5 14

A: Solution: The objective is to find the value of sin(θ)

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0<θ<π2

Q: Find r to the nearest minute. a) sin x 0.242 %3D

A:

Q: Find the tangent of LC. C 89 39 Write your answer as an integer or as a decimal rounded to the…

A:

Q: Use a calculator to approximate sin π/ 8 . Round the answer to two decimal places.

A:

Q: Given that O 1800, determine the numerical value of this %3D sine = %3D -1 1

A: Put  thetha=180°

Q: Use a calculator to solve the following equation for 0 on the interval sin (0) = 0.168

A: using calculator we have to solve the given equation for θ on the interval -π2,π2sin θ=0.168

Q: Find the exact acute angle e for the given function value. sin 0= 2. 3D0

A: Given, sinθ = 12 We have to find the value of θ in degrees

Q: Enter your answer as an exact ratio, or a decimal rounded to at least 4 decimal places. If tan(0)…

A: We find the values by Pythagoras theorem.

Q: Find the equation of a sine wave that is obtained by shifting the graph of y = sin(x) to the right 6…

A:

Q: Use the appropriate sine ratio to solve for x, show your work, and round answers to 3 decimal places

A: Topic-trigonometry

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: In a circle of radius 28, find the length of the arc spanned by a central angle of radians. Round…

A: The radius of the circle is  r = 28 The central angle formed by an arc is  θ = π4 To evaluate: The…

Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

Q: Find the exact value without using a calculator. 5 T 11) tan 6.

A:

Q: A kite 50ft above the ground moves horizontally at a speed of 4ft/s. At what rate is the angle…

A:

Q: The lower right-hand corner of a long piece of paper 6 in wide is folded over to the left-hand edge…

A:

Q: Find the value of s in the interval 0, that satisfies the given statement. sin s-0.8341 radians…

A:

Q: As theta increases from 0 0to 90 0, the value of sin theta tends toward what number?

A: The value of θ increases from  0° to 90°. The value of  sin θ is defined as; θ 0 30° 45° 60° 90°…

Q: In a circle of radius 31, find the length of the arc spanned by a central angle of radians. Round…

A:

Q: Given that sin (x) dx -TT, what is 8. sin (0) de? %3D

A:

Q: In which quadrant is Olocated if tan 0 > 0 and cose < 0?

A:

Q: Evaluate in degrees without using a calculator.      d. sin−1(1)

A: Given problem:- Evaluate in degrees without using a calculator.        d. sin-1 (1)

Q: Suppose that the height, in feet, above ground of one of the cabins of a Ferris wheel at t minutes…

A: The maximum height of the wheel is 66 feet.

Q: The sine of an obtuse angle is 0.53. Calculate the tangent of this angle to 4 decimal places.

A: Let the angle is ∅

Q: Find the exact value of the expression whenever it is defined.

A: To find the exact value of sin arccos -32

Q: To approximate the value of sin44° , we will use y=sin What must be the value of dy ?

A:

Q: Find sin 0. 2 cot 0 = O in quadrant IV 7'

A:

Q: Find the points on the curve where the tangent is horizontal or vertical. Express the answer as…

A: Given, x = 4 cosθ, y = sin2θ

Q: The drive sytem of a compact disc player uses an equation tan y = cos x-r / sin x where r is the…

A: Given,          The drive sytem of a compact disc player uses an equation tany=cosx-rsinx…

Q: If sec A = V 50 with 0° <A <90°, find sin 2A and sin A/2

A:

Q: If cost =3/7 and t is in 3rd quadrant, then sint is

A: If cost =3/7 and t is in the 3rd quadrant, then sint is?

Q: Find the equation of a sine wave in the form y = a sin(bx + c) + d that is obtained by vertically…

A:

Q: As h approaches 0, what value is approached by sin ( +4) - h Hint: sin

A: To find the limit

Q: approximate the acute angle θ to the nearest 0.0001° for (a) and (b) and " for (c) and (d)…

A:

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.