curve x= c sec 0 Show that the tangent at any point 0 on the curve x = c sec 0, y = c tane is y sin 0 = x- cos 0 .

Q: ind the slope of the tangent line to the curve 4 sin(x) + 5 cos(y) − 5sin(x)cos(y) + x = 3π at the…

A: To find the slope of the tangent line of 4sin x+5cos y-5sin xcos y+x=3π, differentiate it and…

Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

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A:

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A: The given equations are  x=cosθ+θsinθy=sinθ-θcosθ To find horizontal tangency for the given curve,…

Q: The curves 71(t) = (2t, t°, – t) and 72(t) = (sin(3t), sin(2t), t – 7) intersect at the origin. Find…

A: Given : The curves r1(t)→=2t,t6,-t2   and  r2(t)→=sin(3t),sin (2t),t-π intersect at origin(0,0,0).

Q: Express sin 0 cot in terms of first degree sine or cosine function. sin 0 (1+ cos 0) O sin 0 (cos 0…

A:

Q: Find all points (if any) of horizontal and vertical tangency to the curve on the given interval

A: Given Data The first equation is x=cos θ+ θ sin θ. The second equation is y=sin θ- θ cos θ.…

Q: 28) Establish the identity. sin 0 (cot 0 + tan 0) = sec 0

A: We will use basic trigonometric identities mentioned whenevr they are used, to prove this.

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: siny=x^2 Then find the value of tany

A: Given query is to find the value of tany.

Q: tan (0) +1 1) sec(e) = sec(0) cos(@) +1 2) tan (0) cos(@) sec(@)-1

A: See the details solution in below

Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: Determine the amplitude of y = 1/2 sin x. Then graph y = sin x and y = 1/2sin x for 0 ≤ x ≤ 2p.

A: Given y=12sinx

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A: Givensin θ+tan θ1+sec θTo findsimplify thegiven tignometric function

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A:

Q: The curves 7₁(t) = (– 2t, t³, tº) and 7₂(t) = (sin( – 2t), sin( – 4t), t – π) intersect at the…

A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

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A: we have to find slope

Q: Find all points (if any) of horizontal and vertical tangency to the curve                x = 5 + 3…

A:

Q: Find all points (if any) of horizontal and vertical tangency to the curve                 x = 4 cos2…

A: Given: x = 4 cos2 θ,  and  y = 2 sin θ  To find: All points of horizontal and vertical tangency to…

Q: Find the maximum value of  sinx+cosx at [0,pi]

A:

Q: cos(x – y) Prove that tan y + cot x sin x cos y

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Q: snip

A:

Q: cos(sin−1(2/3))= cos(cos−1(−3/8))= cot(cot−1(−10))=

A:

Q: 5. Establish the identity: tan 0 +cot 0 = sec 0 csc LHS COSE Sine Sude

A: consider the given identities

Q: Let f(x)= ln(e^x +2x) -2 Find equation for tan line at x=0

A:

Q: sin(-æ) = - %3D V2 tan(x) = – %3D cos(x) csc(x) cot(x)

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Find the equation of tangent line

Q: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

Q: Find y’ if y = Arc cos (sin 4x).

A:

Q: Find the area of the curve r = sin (3θ) when 0<θ <π. Graph.

A:

Q: Is it possible to Solve all the points with finding Domain and Range. 1) y sin x y = cos x y= tan x…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: ldx on the graph y sec x? + y? = cos2x at point (1, 2).

A:

Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x)…

A:

Q: um point(s) for y=sin 2x- cos. d be in ovprossed in rodians

A:

Q: = (0)1 %3D cos-(0) = %3D sin-(-V2/2) = arccos(1/2) = %3D %3D arctan(1) = %3D arcsin(1) =

A: Part 1,Given,           arcsin1

Q: I+ cosx+ cos 2x (ii)Show that sin x+ sin 2x tan 20 - tan 0 = tan 0 sec20 cotx (iii) (iv) (cose -…

A:

Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

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Q: verify tan(y)/csc(y)=1/cos(y)−1/sec(y)

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Q: Determine the amplitude of the function y = -2 cos x. Also, choose its graph.

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Q: 1+ sine tane + sece - 1 tane – sece +1 Prove that cose

A:

Q: Prove that: (sinA-cosA+1)÷(sinA+cosA-1)=1÷(secA-tanA)

A: To prove: sinA-cosA+1÷sinA+cosA-1=1÷secA-tanA

Q: 1. sec x – tan x sin x = secx 1+cosx 2. = cscx + cotx sinx secosine 3. tan0+cot0 sin20 secß 4. tanß…

A: Here we prove the trigonometry equations.

Q: Prove that: sec (0) +tan (0) cot (0)-cos (0) -=sec (0) tan (0)

A:

Q: Determine the amplitude of y = 3 sin x. Then graph y = sin x and y = 3 sin x for 0 ≤ x ≤ 2π.

A: Given, y=3sinx             ...(1)

Q: Find all points (if any) of horizontal and vertical tangency to the curve                x = cos2 θ,…

A: Given: x=cos2θy=cosθ To Find: Find all points (if any) of horizontal and vertical tangency to the…

Q: Period of y = 2 cos x COS -х 3

A: Given, y=2cos13x ∴ Frequency in radians per sec, ω=13

Q: Determine the amplitude of y = - 1/2 sin x. Then graph y = sin x and y = - 1/2sin x for -π ≤ x ≤ 3π.

A: We have to graph the following functions y=sin x y=-12sin x   We have to find the amplitude of…

Q: sin x cot x (1 – cos x Prove -- sec x | 1) Show all work to receive credit

A: We have to prove