Verify the identity by transforming the left-hand side into the right hand side.  cot(-x)cos(-x)+sin(-x)=-cscx

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

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Q: 2. On the unit circle, if sin 0 and e<T, find cos 0 3

A: Here value of sinθ is given         sinθ=23 and θlies in second quadrant (π2&lt;θ&lt;π) given in the…

Q: e in standard position and its terminal side passes through the po- he exact value of cot 0 in…

A: In this question we will use basic of trigonometry i.e application of trigonometric ratios.  We will…

Q: Consider the following. co) X = sin y = cos (a) Eliminate the parameter to find a Cartesian equation…

A: x=sinθ2 sinθ2=x θ2=arcsinx θ=2arcsinx

Q: If x= cos³(e) – sin?(e) and y=1-tan?(e) so: Find for e = 30° and correct to three significant digits…

A: We have to find the first derivative and second derivative.

Q: At which of these x-values is the value of y = cos x greater than the value of y = sin x? Select…

A: We can use diagram to solve the given question.

Q: Use the information given below to find sin (a+B). 4 with a in quadrant IV 5' cos a=' 4 cos B= with…

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Q: Find the exact value. Given that sin e with 0 in quadrant IV, find cos 20.

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Q: 5. DA is tangent to the circle. Find arc AB 133° E

A: Let's name the point F :   To find: Arc AB.

Q: Suppose that a 6-foot tall person is 12 feet away from an18-foot tall lampost. (a) use similar…

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Q: In triangle PQR right angled at Q PR+QR = 25cm and PQ = 5 cm . Determine the values of sinP , cos P…

A: Given information: In triangle PQR right angled at Q, PR + QR = 25, PQ = 5 Concept used: Pythagoras…

Q: Express cot 0 (e in quadrant III ) in terms of cos 0. cos e V1+cos²e cos e V1-cos²e cos e /1-cos²e…

A: we have to express cot θ in term of cos θ where θis in third quadrant we know that cot θ = 1tan θ…

Q: Find cos(s−t) given that cosine s =−513​, with s in quadrant​ II, and sine t=1517, with t in…

A: In quadrant II , cos is negative but sin is positive

Q: The modified EuleriMethad Use to solue Sined y at x= 0.1 h=o.02

A: Given differential equation is y'=x+y, y(0)=1. To find the value of the solution at x=0.1 using…

Q: Express sin e (0 in quadrant IV ) in terms of cot 0.

A: The trigonometric identities are expressions in trigonometric functions that are true for all values…

Q: given cos(t) = 1/7 and t is in the 4th quadrant, find the values of all other trigonometric…

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Q: In terms of A, B, C, and D, write a formula for each of the following characteristics given y = Asin…

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Q: Consider the following unit Circle -By the definition of the sine function, sin(Ø)= x, -x, y, or -y?…

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Q: Which of the following is the equation of the given curve? Or= 20 – 20 cos 0 Or= 10 – 10 sin 0 Or=10…

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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: 16. By making a sketch of a right triangle and labeling the sides appropriately, find tl exact value…

A: soltion is given below

Q: snip

A: Cosine is negative in second and third quadrant and positive elsewhere. Since is positive in first…

Q: For y = 10 sin(10z), %3D the amplitude is the period is Give exact radians using .

A: Given,             y = 10 sin( 10x )

Q: Eliminate the pavameter from. the follawing. X()= cos (2f) Sint

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Q: O in Quadrant I, cos(@) : V5 p in Quadrant II sin(0 + q); sin(0)

A: Consider the given expression. sinθ+φ It is given that sinθ=45 and it is in quadrant I. cosφ=-55 The…

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift‑off point.…

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Q: For what values of x in [0, 27| does the graph of y = cos have a horizontal tangent? List the…

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Q: Given sin a = 0.262 and sin ß = 0.344 with both angles' terminal rays in Quadrant-I, find the…

A: Solution of given question is written in below steps.

Q: At which of these x-values is the value of y = sin x greater than the value of y = cos x? Select…

A: To find : The values of x for which y=sinx is greater than y=cosx

Q: Use the information given below to find tan (a -B). 3 sina ==, with a in quadrant I 3 with B in…

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Q: Consider the following. sin(-e). = co(), X = (a) Eliminate the parameter to find a Cartesian…

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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: A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate (in rad/s) is…

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Q: find the slope of the tangent line to r =8 sin(\theta ) at \theta =\pi /6

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Q: A ladder 12 ft long rests against a vertical wall. Let ? be the angle between the top of the ladder…

A: Given, A ladder 12 feet long rests against a vertical wall. Let θ be the angle between the top of…

Q: 1 + &r? on [1, 2] 15. у 3 4

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Q: Use the given point on the unit circle to find the value of the sine and cosine of t. sin(t) cos(t)…

A: we use Trigonometry ratios

Q: . A point that moves on a coordinate line is in simple ________ ________ when its distance d from…

A: Consider the given equation, d=a sinωt or d=a cosωt the above equation represents the simple…

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: 15. Explain the steps in verifying that the following equation is an identity. sec a sin e sin a cot…

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Q: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1'.

A: Given:                sinθ=0.6612

Q: Use the information given below to find sin (a -ß). 5 with a in quadrant III 13 cos a 15 with B in…

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Q: 10. In the diagram shown below, secant PR and tangent PTU are drawn. It is known that mQR = 85°, mRS…

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Q: 1. Suppose that a bunny is running at a rate of 3 ft per second when r = 4. How fast is the angle 0…

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Q: Sketch the graphs of ? = ?² and y = sin x. Using Newton’s method find, to four decimal places, the x…

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Q: Use the information given below to find tan (a+ß). 5 with a in quadrant IV 13 cos a= 12 sinß= with B…

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Q: b. tan(a + B); cos(a) = 13 for a in quadrant III and sin(B) = 63 for B in quadrant IV %3D 85 65

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Q: Use a calculator to find the following. Round your answer to four places past the decimal point. sin…

A: To determine sin 26.3°

Q: the length to three significant digits of the arc intercepted by a central angle 0 in a circle of…

A: Angle=Arc/radius Angle=5π/9 radians radius=1.57 ft.

Q: Use the given information to find cos(x+y) . 1 1 cos(x) : , x in quadrant III, sin y 3 , y in…

A: Explanation of the answer is as follows