Z1 and 22 are supplementary. Z1 = 124° 22 = (2x + 4)* What is the value of x?

Q: The equation of the line that represents the terminal side of standard position angle is -5x - 3y =…

A: We have given equation of the line that represents the terminal side of the standard position angle…

Q: (d) Find the angles within the range -180<e<180 which satisfy the equation sin30 =-2 cos30. (H.W) 1…

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: Find all solutions of the equation in the interval [0, 2x). tan 0 – 1=0 Write your answer in radians…

A: Find all solutions of the equation in the interval [0,2π)       tanθ-1=0

Q: Find the points of intersection of the graphs of the equations  r = 1 − cos θ,    r = 1 + sin θ

A: To find θ, we equate the graphs.

Q: solve these equatyions on the interval 0&lt; or = to 2pi a)       2cos(theta) + 3=2 b)…

A: a) First, solve for cos(theta) then use cos inverse.

Q: What is the exact value of cos ZPQR? 3 4 R. 16 31 16

A: Here we use the cosine law of triangle

Q: Which equation can we use to find the length of the side labeled æ? 5 30° A cos 30° 5 B tan 30° %3D…

A: Given: To find the value x=?Opposite side=5; hypotenuse side=x

Q: Find the Cartesian equation of r2 sin(20) = 1.

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Q: r2 = sin 20 –3 cos0 %3D

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Q: 11a Use a half-angle formula to find sin( ) 12

A:

Q: Calculate v9+ 8i. Give your answer in a + bi form. Give the solution with smallest positive angle.…

A:

Q: (z) = #, Which of these is a valid solution to the equation tan ( x V3

A: To find the solution of: tanx=33

Q: The following equation involves multiple angles. Solve the equation on the interval [0, 2T) V3 cos…

A: Given,

Q: Solve the cofunction of sec(3pi/10)

A: The given expression is sec3π10. Cofunction identities in radians. sec3π10= csc(π2 -…

Q: Find a rectangular form of the equation. r(7 cos 0 + sin 0) = 4

A: To convert a polar form to rectangular form the following formulae are used.

Q: 2) Determine the quadrant in which the terminal side of Θ lies, subject to both conditions. sec Θ >…

A: Given sec⊝&gt;0 and cosec ⊝&lt;0

Q: -V3 and cosec 0 = 2, without using a calculator, calculate %3D the value of sec20+ tan20 5 answer :…

A: Consider the provided question, Given, cotθ=-3  and  cosecθ=2 We have to find the value of…

Q: Graph the equation r = sin (8/ 7 u) for 0&lt;=u&lt;= 14pai.

A:

Q: Q3 Find the angles within the range -180<0<180 which satisfy the equation sin 30 = -2 cos 30.

A:

Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: 3) d - Find the values of r, sin Θ, cos Θ, tan Θand Θ in standard position if the terminal side of…

A: The given point -6,14 lie in the second  coordinate .In the 2 coordinate tanθ and cotθ are positive…

Q: use the formula x=1/32 v2 sin 2 theta to explain why the projection angle that maximizes the…

A:

Q: Find all angles, 0° << 360° , that satisfy the equation below, to the nearest 10th of a degree. -9…

A: To solve this problem we use sin2θ+cos2θ=1

Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree.…

A:

Q: d. Use the compound angle formulae to expand x, and x2 into the form A sin 100nt + B cos 100nt,…

A: Given,     x1=3.75 sin 100πt+2π9     x2=4.42 sin 100πt-2π5

Q: solve the following trigonometric equation on the interval [-2pi,2pi]  4cos2 x-2=0

A:

Q: 3. When instructed to find the length of ZY in right triangle YZX, Josh wrote ZY the equation sin 46…

A:

Q: a. Which one of the following choices is equal to sin? y – cos² y?

A:

Q: Find sin u and cos u if the given point lies on the terminal side of u.     (3,-4)

A: R=x2+y2sin u= y/Rcos u=x/R

Q: Use a linear approximation to estimate the cosine of an angle of 66° Round your answer to four…

A:

Q: 3. Given 0 < 0< 2T, what are the extraneous solutions for the equation tan 0 sec 0 = 1?

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Q: Which of the following trigonometric equations meets the criteria given? A = 2, B = 3, p = ! %3D y =…

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Q: If cos t 3 and t is in the 3rd quadrant, then cot t = 9 V72 V72 3 V72 9 V72 3 3 V72

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Given, secu = -2 cosu = 1/secu = -1/2 π &lt; u &lt;3π/2 then 2π &lt; 2u &lt;3π

Q: Consider the following trigonometric substitution problem: dx Vx2 + 36 Making the substitution: x =…

A: The given integral is ∫xx2+36dx. Substitute x=6tanθ  and  dx=6sec2θ in the above integral and…

Q: Q2 solve for the angle 8, where 0s e s 27. sin 20 - cos e = 0

A:

Q: 4. 16 30 What is the Cosine R? What is the Cosine S?

A: Assume the followings. ST=a=16RT=b=30SR=c=unknown∠S=x∠R=y

Q: given that t=tan-1(4/3), find the exact value of sec(t)

A: t=tan-1(4/3)

Q: Exer. 15–16: Use half-angle formulas to find the exact values. 15 (a) cos 67°30' (b) sin 15° (c) tan…

A:

Q: 3. Which is the solution to the equation sin?x = 3cos²x, x = 3 3

A: Given the equation: sin2 x=3cos2 x We know that  sin2 θ+cos2 θ=1 So, sin2 x=31-sin2 xsin2 x=3-3sin2…

Q: Find the value of x. Round to the nearest degree. 1. 2. 3. 14 of 13 of 5n

A: The given triangles are right angle triangles. (a) The value of angle x is calculated as,…

Q: Find all angles in the interval [0,2n) that satisfy the following equation: cos(3x) – 1 = 0

A:

Q: Find the remaining trigonometry function if sec 0= -12/11 and 0 terminates in Q2

A:

Q: 4) Consider the following triangle 14 m 120 5m B (a) Use the cosine rule to show that a satisfies…

A: a) To use the cosine rule to show that a satisfies the equation             a2+5a-119=0…

Q: The point P on the circle x2 +y² = r² that is also on the terminal side of an angle 0 in standard…

A:

Q: Find all solutions to the equation V3 tan(30) + 1 = 0

A: Follow the steps.

Q: 3 and t <Os, then sece is equal to: 5 37t - 1. If sin 0 - 5 a) 4 4 b) 5 4 c) -

A: Given:  sin θ = -3/5     π ≤ θ ≤ 3π/2

Q: 2. 16 4F6 Sin O how far is the directrix from the pole poce

A:

Q: 2. Given 0 < 0 < 2n, what are the extraneous solutions for the equation tan 0 – sec 0 = 1? %3D

A: Given: tanθ-secθ=1; 0≤θ&lt;2π We know that sec2x-tan2x=1…

Q: Q1: Find the X- Value of the Trigonometric Equation. 5 sin? nx - 7sin nx cosnx + 10cos? nx = 4

A: Given trigonometric equation is                          5sin2nx-7sinnxcosnx+10cos2nx=4 The given…