du O P A Precalculus H » Matthew Granger - Trig3 Test pdf 14. If cos® = -, find cos²0 . cos²0 =,

Q: uppose that θ=arcsin(4/9) in the first quadrant. What is cos(θ/2)? (round to 4 decimals)

A: Given that: θ=arcsin49 in the first quadrant.

Q: aresin(sin(-5). 3 arcsin( sin( – sin(-"#))- 4 arccos( cos(- 6. IT arccos( cOS 3 II

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Q: Find the exact value of the given expression. Sketch and label a right triangle supporting your…

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Q: Write an equation of a sine function that has the given characteristics.

A: We are trying to determine the parameters of the sinusoidal function                    y=A…

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 19 Period: 4…

A: Given that we need to find the equation of sine function whose  Amplitude = 19 Period = 4…

Q: which of the six trignimetric functions are odd? and which are even?justify the answer using…

A: Even function: f(x)=f(-x) Graph of even function is symmetric with respect to the y-axis, meaning…

Q: sin20 de 1+cos²0

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Q: Give the exact value of csc (cos (). Decimal approximations will receive no credit!

A: We can make it easier for you.

Q: 4. Create a chart of the rules for when to use the Law of Sines verses Law of Cosines, for a new…

A: Solution: To solve a triangle is to find the lengths of each of its sides and all its angles. We use…

Q: What does it mean when we say that the sine and cosine functions are periodic with period 2π?

A: Given: sine and cosine function

Q: 25. cot(cot(-10)) (-tan프) cos (cos" (-) 26. sec-1 27. cos 8.

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Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

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Q: Prove the identity  cscA-sinA = cotAcosA

A: Given,        cscA-sinA = cotAcosA

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 5 Period: π…

A: Here given data about basic sine equation we will find out value of w and phi.

Q: coto=6 in quadrant III sin2o= tan2o= cos2o=

A: Given, cot θ=6 in qudrant IIIcot θ=6 and π≤θ≤3π2Now, θ=cot-1(6)+π θ=9.46°+π θ=189.46°Thus, θ=189.46°

Q: arctan(−1)= arccsc(csc(5π/2))= sec−1(−tan(3π/4))= tan(cos−1(−7/12))= sec−1(−1)=…

A: arc tan(-x) =-arc tan(x) arc csc(csc(x)) =x Note : According to our guideline, we can solve first…

Q: Given: (-8, 6) sine = 3/5 4/5 -4/5 -3/5

A: We know that Sin(theta)=y/r r=√(x^2+y^2)

Q: Verify: cos(A + B) + cos(A – B) = 2 cos A cos B. To receive full credit, show all steps. Edit Viou

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Q: IT Find a cofunction with same value as cos 3 - The cofunction is csc + (| ).

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Q: Let Oses and let 3x = sece. Then sine is 2

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Q: 2 Graph y = cos Ź Amplitude= Period = [0,2] on

A: The standard form of cosine function is y=acosbx-c+d. where amplitude= a and period=2πb.

Q: csce cote 5 sine in

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Q: Write the equation of a sine function that has the given characteristics.

A: Given- Amplitude= 3 unit, Period= π2and phase shift= 2 unit. To Write- The equation of a sine…

Q: Verify the identity. sin 20 cot0 1- cos 20 Statement Rule sin2e OsinO 1 - cos 20 Otun O cot OsecO…

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Q: Write the equation of a sine function that has the given characteristics. Amplitude: 18 Period: 12…

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Q: L{sinat}

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Q: 23 sin-! Option 4 23 cos 9.

A: Explanation and solutions is given below....

Q: (sece +tane)(1+sine)de =

A: Evaluate ∫π6π4secθ+tanθ1+sinθdθ

Q: Sc sinx te Cos

A: Given: The integral ∫cos22x sinx dx To evaluate: The given integral.

Q: Write an equation of the cosine function with amplitude 2 and period 6t. Oy=-2 cos cos O y=2 cos x…

A: Given amplitude = 2 and period = 6π We have to write the equation of the cosine function.

Q: Integrate cosx cos (x-a)

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Q: sin3xdx Cos4x

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Q: 1. arcsin (1/2) 2. cos- (-V3/2) 3. cot- (V3/3)

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Q: 22. What is the minimum amount of information that you must have in order to be able to apply the…

A: The minimum information that you must have in order to be able to apply the law of sines is: 1) Two…

Q: aw of Sines to solve the tria

A: We have to find the following conditions according to the given information

Q: Convert a sine signal into a cosine signal. Let S3(t) = 5 sin(2n100t) Write s3 (t) signal in cosine…

A: Use the identity : sin A = cos A-π2 = cosπ2-A

Q: The simplified value of * (1) - -) + cot 2 tan 2 2 csc 0 2 sec 0 Option 1 Option 2 sin 0 csc e…

A: Given, tan(θ/2)+cot(θ/2)   Formula: 1+tan2 θ = sec2 θ Sin2θ=2sinθcosθ

Q: =a sec2o -Sine I +Sino

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Q: 1. Evaluate: cos [Arcsin (3/5) + Arccos (-V3/2)]. (Do not use calculator. Show your complete…

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Q: Calculate arcsin 0, arcsin 1, arccos V3 arctan 1, arccot(V3) 2

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Q: cOs Ө cot Ө 31-35. Verify 1 — csc Ө = csc 1- sin 0

A: Trigonometry Identities:                     An identity is an equation that is true for all…

Q: Explain the ambiguous case in the Law of Sines.

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Q: the tollowinng 1. cos (Arc cos) 2. cas(Are tanv3) 3. tan (Arc sin) 4. cos(Arc tan1) S.cot (Arc sin…

A: Find your answer below

Q: 3t €7 cosut +3 Sinat

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Q: Differenciate beetween sine centre and sine bar in detial.

A: The objective is to Differentiate between sine centre and sine bar.

Q: intergral of (theta)(cos(theta))(dtheta)

A: To evaluate , I = ∫θCosθ dθ

Q: sinx Differentiate cosx

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Q: Cos cos arcsin 4. arctan 9

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Q: tan(-8) cot(a) sec²(7) cos(3) Compute the value of

A: The objective is to compute the vaule of tan-δcotαsec2γcosβ.

Q: How do you differentiate y=arctan(cosx)?

A: The function given is