Which of the following completes the proof? Given: Segment AC is perpendicular to segment BD Prove ΔΑCB-ΔECD Reflect AECD over AC This establishes that Then, This establishes that ZE'D'C' LABC. Therefore, AACB - AECD by the AA similarity

Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

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Q: x= a cos4 theta y= a sin4 theta by the given equation, find the equation of a and b when theta is…

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Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: (d) Ve > 0 38 > 0 Vx E R, |x|< 8 : x² < ɛ.

A: Choose delta=sqrt(e).

Q: (15) sin 105° (16) cos 75° (17) sin- 12 п (18) cos- 8

A: 15) The value of sin105° can be calculated as,    cos210°=1-2sin2105…

Q: () Sec A sec A + I 1 tan² A sec A - | CSC A = COS X cot x + sec*x + I II

A: Given: cosec2xcot2x +sec2x +1 = cos2x To prove: The given identity.

Q: Find the exact length of r = 3 sin 0 + 4 cos 0. II

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Q: Using trignometrie formula Solve sin e + 2 cose =| for angles between o and 360°

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Q: cot (45°+ e) - tan ( 45°-e) %3D Prove that; 2+an 20

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Q: Solve the problem. Express 15° as a - ß, where cos a and cos ß are known exactly. 47° - 32° 80° -…

A: The objective is to find the correct option.

Q: Suppose the point (4,6) sits on a ray from the origin making an angle of A in standard position, and…

A: topic - trigonometric ratios

Q: How many values of theta in the interval 0 < theta < 2pi satisfy 1- 3sintheta + 5cos3theta = 0 ?

A: Given: 1 - 3sin(θ) + 5 cos(3θ) = 0  To find the value of θ in interval 0 &lt; θ &lt; 2π

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: Which measurements of AABC are correct? 12 9. 15 Cos C- [ Select ] 6. tan C [ Select] 12 m C 36.9…

A: Using trigonometric ratios.

Q: 7.3 Express as a cofunction of a complementary angle. (a) sin 89°41' = (b) cos- 3 c) sec 1.2 = %3D

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Q: Find cot theta of 4x + 9y = 0, x is greater than or equal to 0.

A: We will find the concept of slope to get value of cot thetha

Q: 6. Verify identity (cot2t + 1)(sin² t+ 1) = cot? t + 2 (show your work, step by step)

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Q: x= a cos4 theta y= a sin4 theta by the given equation, find the equation of a and b when theta is…

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Q: List all angles (in radian measure) between 0<x<47 2 sin(x) + 1= 0 such that

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Q: 10 Evaluate tan 8 at the following value: = O 0 0 0 0 tan 8√3 e' = tan 8√3 tan 8= -√3 tan 8= -√3 3…

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Q: T 2 r = 2 + 4 cos 0 Option 1 r = 2 + 4 sin 0 Option 3 axis? r=2-4 sin 0 Option 2 r=2 sin 30 Option 4

A: Which of the following is not symmetric with respect to the pi/2

Q: Prove that osIl" + sini = tan s 56° cas 11-sinll %3D

A: -To show:cos11o+sin11ocos11o-sin11o=tan56oBasic formula needed:-tan(A+B)=tanA+tanB1-tanA.tanB…

Q: D 5. Refie)- A)0 B) Im(le) C Im (z) D)-Im(z) . One of the follewing statements is always t A) Arg (z…

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

Q: Verify the identity: (1 - cos t)/(1 + cos t) = (csc t - cot t)2

A: Given: 1-cost1+cost=csc t-cot t2

Q: Ces A

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Q: Which is an appropriate first step in verifying this trig equation? cotx (cotx + tan x) = csc²x %3D…

A: The given Trigonometric identity is,                cotx(cotx+tanx) = csc2x One of the basic…