Q4) The standard formula for the tangent of the sum of two angles is tan x + tan y tan(x +y) 1- tan x tan y Derive the formula.

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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: 1. ratio of major arc AB to minor arc AB is 2:1, what is mLP? If PÅ and PB are tangents to circle O…

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Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: What angle does the tangent to the curve y(x)=sin2(x/9)+14sin(x/9)y(x)=sin2(x/9)+14sin(x/9) at…

A: The given function is, y(x)=sin2x9+14sinx9 The 1st order derivative of the function is,…

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Q: Arrange the given steps to correctly verify the equation. sec'0-tan 0+tan 0 sin 0 + cos 0 sece sin 0…

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Q: Find the tangent of ZZ. 37 35 12 Y Write your answer as an integer or as a decima tan (Z) = Submit

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Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A: Given: It is given that the limit is limx→0tan27xcot11xx+72sin x. To find: The main aim is to find…

Q: he interval [0,2r) cos (x) sin (x) = 2 cos (x)

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Q: Where are the theta valuss for the horizontal and vertical tangent lines on [0,2pi) of r=1+cos theta

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Q: 6. By using u = tan 0, evaluate | tan 0 sec*e de .

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Q: 8. Which is the exact value of tan 75° using sum of tangent ? A. V2 + 3 B. 2 + V3 C. V2 + V3 D. V2 +…

A: Consider an expression: tan 75°……1

Q: 01: Find the angle () between the tangents lines of the 3 sec 0 and the cardioid r 4(1+ cos 0) at…

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Q: 1-cos y 9. lim y→0 sin? 2 y

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Q: 2. The cancellation property sin (sin x) = x is valid for x in the interval Which of the following…

A: (i) Consider the provided information, sin-1sinπ3=π3 Prove that left hand side is equal to right…

Q: Find the crea trom X = 0 to 2 rad y=2 sin '/2 Tr x.

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Q: 01: Find the angle () between the tangents lines of the 4(1 + cos 0) at the line r 3 sec 0 and the…

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Q: 3. (6れ)-) ANCTAN X (x+1) ² -y=ARCTAN

A: To expand the given function :

Q: Calculate the arc length of y = 15 – 14x over the interval [1,3]. (Use symbolic notation and…

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Q: 4. Draw. Two tangent lines intersect outside o Rat point A and Intersect the circle at points N and…

A: Given information . Two tangent lines intersect outside circle R at point A and Intersect the circle…

Q: 9. у %3D 4sin' (2xх) 10.у %3D tan? (x3) 11.у %3D sec(-х2 + 3х — 4)3

A: Question 9,Given,          y=4sin32x

Q: 01: Find the angle () between the tangents lines of the line r = 3 sec 0 and the cardioid r 4(1 +…

A: The given question can be solved as shown in step2.

Q: < sin!!), w5"1)? aiong.seni-circle. 4) Work done by o trom tJ5, 1) to' (-3,-1) t radius 2 · 个。 3+1…

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Q: If tan-0 = 1- a Prove that sec® + tam Ocosece = (2- a) 3. %3D %3D

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Q: What is the value of 4 (sin x tan dx X)? a) sin x + tan x sec x b) cos x + tan x sec x C) sin x +…

A: ddxsinxtanx= cosxtanx+sinxsec2x=sinx+tanxsecx

Q: 1. Use the formula x =v² sin 20 to explain why the projection angle that 32 maximizes the distance a…

A: For finding the points at which a function takes  maximum or minimum value, we need to solve the…

Q: Find the length of the path over the given interval. (sin θ − θ cos θ , cos θ + θ sin θ ), 0 ≤ θ ≤ 2

A: Given (sinθ-cosθ,cosθ+sinθ)    0≤θ≤2

Q: HW /Prove that: (1) tanx=cot

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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Q: 2. Describe a way of evaluating sin° x dx.

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Q: 01: Find the angle (y) between the tangents lines of the line r = 3 sec 0 and the cardioid r = 4(1 +…

A: Solution is given below:

Q: 2. Prove: cot?x – csc²x = -1

A: To prove the given expression

Q: (b) Can we use the IVT to conclude that f (x) = tan(x) equals 0 for some c in (0, 1)? %3D

A: We can answer first question among which you asked as per the honor policy. please resubmit the…

Q: What angle does the tangent to the curve y(x) = sin² (x/9) + 13sin(x/9) at x = 9n make with the…

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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: Plot point 0 using a negative radius and an angle in standard position. 10 theta | T/2 21/3 TT/3…

A: Here negative radius is 1 Here angle is 60°

Q: 1. If ß be the angle between the lines of regression, show that tan B = (1 -) 0,0/r (o, + o,).…

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Q: 17) In(v600 cos x +9)= T %3D

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Q: Mutiply    (sin theta + 4) (sin theta +3)

A: Trigonometry: (sin θ+4)(sin θ+3) We need to multiply the above factors.

Q: What is the measure of arc RP?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. Write the tangent ratios for LY and ZZ in the triangle below. [Triangle is not drawn to scale.]…

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Q: ´ tan²2x dx, a = tan" (2)

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Q: sin(x + y) – sin(x – y) = 2 cos x sin y

A: sinx+y-sinx-y=sinx cosy+cosx siny-sinx cosy-cosx siny=sinx cosy+cosx siny-sinx cosy+cosx siny=cosx…

Q: tan What is the exact value of sc wdw ialuulexalu fXis thrali

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Q: sin z = -isinh (iz) %3D ulgn

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Q: Q4: Prove that: secx * cscx = tan x + cot x %3D

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Q: a. Show that y = tan u increases on every open interval in its domain. b. If the conclusion in part…

A: (a)  Given,