The amplitude of the function y = cosx is   Question 23 options:         π     c)  1     d)  2π

Q: ABC is a right angled triangle with AB = 4 units and BC = 3 units Prove that for the angle marked x°…

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Q: The formula for the law of cosines is x2 = y2 + z² - 2yz cos X. O True O False

A: Law of cosine is used to find the unknown side of a triangle if we know other two sides and the…

Q: In AXYZ, the measure of ZZ=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ZX?

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Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( 2'3 5,6 )?

A: Given function is  w=fa,b,c=cos(ab)sin(b)+c

Q: Note: Review your trigonometric ident 1. f(t) = 5sin2t - 6cost 2. f(t) = 3sintcost

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Q: + C,? What should be the value of A so that f A : sin (6x²) dx = - cos(5x-) %3D 4 A. x С. Зх В. 2х…

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Q: Use the information given about the angle 0, 0≤0≤2л, to find the exact value of cos cos () = 3 5'…

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Q: Given that sec(θ)>0 and sin(θ)<0, in which quadrant does θ lie?

A: We know that all trigonometric ratios are positive in 1st quadrant .

Q: In AXYZ, the measure of ZZ=90°, XZ = 63, ZY = 16, and YX 65. What ratio represents the sine of ZX?

A: Given that right triangle XYZin which XZ=65 , ZY=16 and XY=65we have to find sin∠X

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four…

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Q: If it is known that sin a = and < a <n and cos ß = -- and <B < , find the exact %3D value of cos(a +…

A: cos2 α+sin2 α=1  Substitute sin α=13 in the above trigonometric identity: cos2 α+132=1 cos2…

Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: Use the information given about the angle θ,0 ≤ θ &lt;2π, to find the exact value of (a) sin( 2θ )…

A: We have given   sinθ=-33 and 3π2&lt;θ&lt;2π cosθ=1-sin2θ=1--332=1-13=23 cosθ will be positive since…

Q: In a right triangle = x and cos B= y which expression represents the value of sin C + cos C O y+x O…

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Q: Consider right triangle ADEF below. E F D Which expressions are equivalent to cos(ZE)?

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Q: Quiz No. 1 oprnte %e Laplace Trensfom on the following Cos 3t ci; 7Ct) = si) fle) . %3D

A: to find the Laplace transform of ft=cos3t proceed as follows Lft=Lcos3t using the formula…

Q: Show that a formula for the altitude h from a vertex to theopposite side a of a triangle is

A: Given: h=asinB sinCsinA

Q: 22. Determine sin? y cos® y dy

A: Note that the reduction formula for ∫0π2cosnx dx=n-1nn-3n-2...231, if n is oddn-1nn-3n-2...12π2, if…

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. Using the fact that sin 2a = 2 sin a cos a, and the fact that 0 = 2a, rewrite the area of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the approximate value of csc 46° and sec 46°, given that sin 23° 0.3907.

A: We have to find out

Q: Let a be angle such that cos a = -- and sin a > 0. What is the exact value of sin a?

A: Only 2nd quadrant is the only region where cosα is -ve and sinα is +ve

Q: From the information given, find the quadrant in which the terminal point determined by t lies.…

A: The solution are next step

Q: sketch r= la 2 Sin'(o+)

A: Given r=1-2sin2θ+π3 Let us sketch the figure. Taken 0≤θ≤12π

Q: Use the information given about the angle θ,0 ≤ θ &lt;2π, to find the exact value of (a) sin( 2θ )…

A: If an angle lies in the first quadrant then all trigonometric functions of that angle are…

Q: If A is the dgree measure of an acutre angle and sin A =0.8, then cos(90-A) = a) 0.2 b) 0.4 c) 0.5…

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Q: solve for the angle u, where 0 … u … 2π sin 2θ - cos θ = 0

A: To calculate the angle u

Q: Y= COS O 3n O 21 1/3

A: The equation of a sinusoidal function is of the form y=AcosBx+C+D. Here, x and y are variables and…

Q: Let a = ci + j andb = 8i + 15j. Find e so that the angle between a and b is. Round your answers to…

A: Consider the dot product of two vectors

Q: At which angle is cos Ⓒ =-1? 0 O 2 OTT

A: Given query is to find measure of the angle.

Q: of triangle ABC is Show that the given by area (1/2)ab sin C = (1/2)bc sin A = (1/2)ca sin B. a B

A: Consider a triangle ABC having side lengths AB=c, BC=a and CA=b respectively.

Q: Show that the form of the Law of Cosines written 2 = a + b - 2ab cos y reduces to the Pythagorean…

A: c2=a2+b2-2ab cosγ

Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

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Q: If e be a positive acute angle satisfying cos 0+ cos 0= 1 then the value of tan? e+ tan e is 3 2 OA.…

A: As per company's guidelines, we are supposed to solve the first question for you, kindly re-post the…

Q: In a 2-dimensional space, the line element is given by: ds2 = de2 + sin²ed¢2 determine the angle/s…

A: In a 2-dimensional space, the line element is give by ds2=dθ2+sin2θ dϕ2 To find the angle of θ, if…

Q: Given sin a = -, a is in QIIl and cos B = , Bis in QIV. Where is angle (a + B) located? O on the…

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Q: In a right-angled triangle ACB, cot B = the value of sin A is . %3D 12 13 Select one: O True O False

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Q: In AXYZ, the measure of ZZ=90°, XZ = 63, ZY = 16, and YX = 65. What ratio represents the sine of X?

A: First sketch a triangle for the given measures as shown below.

Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

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Q: In AABC, mLB = 90° and tan(A)3D What is cos(C)? O A О в 45 35 53

A: Given that,              In a ∆ABC,⇒                m∠B=90°⇒               tanA =34            find…

Q: sketch r= la 2 Sin'co+)

A: r=1-2sin2(θ+π3)

Q: Explain the following “proof without words” of the law of cosines. (Source: Kung, Sidney H., “Proof…

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Q: The drive sytem of a compact disc player uses an equation tan y = cos x-r / sin x where r is the…

A: Given,          The drive sytem of a compact disc player uses an equation tany=cosx-rsinx…

Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

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Q: 2. Given that csc A = v2, A in QI, and sec B V5, sin B <0, find: a. cos (A- B) b. tan (A- B) %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Given P(A) = (4, -3), what is the value of of cos %3D A?

A: Given that P(A)= (4,-3), Our Aim is to find the value of cos (A) = ?

Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

A: (a).    The sine function is negative in third and forth quadrant.   The cosine function is negative…

Q: Assume csc (0) = sin (0) = cos (0) = sec (0) = || tan (0) cot(0) = C 15 Compute the other five trig…

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