Suppose that places) < 0 < 2T, csc(0)=8/3, find sin(0)=___. 2 (round to 3 decimal

Q: Let sin s=--, with s in quadrant IV and let cos %3D II. Find cach of the following. 4. cos (s +1) 5.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one…

A: given that 2sin2θ=cos2θ to prove that tan2θ=0.5 proceed as follows  2sin2θcos2θ=1tan2θ=12tan2θ=0.5

Q: if cos A=1/2 with A in QIV find sin A/2

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Q: 3 with A e QIII , find sin2A 8 7. If cos A =--

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

Q: – 4T then 3 If 0 sin(0) = %3D cos(0) = Give exact values. No decimals allowed!

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Q: 8. Show that sin a (1+ tan a) + cos a (1 + cot a) = sec a + csc a.

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Q: Q3-Prove that (cos303cos³ 0-3cos 0 sin? 0)

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Q: 1 Let cos A = with A in QIV and find V10 sin(2A) = Preview

A: Please see the answer below

Q: 3. Let sin A = with A in QII and cos B = – -i with B in QIII. Find cos(A+ B). (4pts)

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Q: The smallest positive number for which tan(3z) = 1 is z = .The next larger such number is z =

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Q: S Show that L(cos² 3t – sin² 3t)= 82+36

A: Using Laplace transform,

Q: Let sin 0 = with A in QIV. Find the exact value of cos 20 %3D 315

A: A is in QIV. There cos is positive  So,

Q: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

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Q: 9 If f(0) = cos 01 cos 02· cos 03 ... cos On + tan 0,}=- f (0) Show, {tan 0, + tan 02 + tan 03 +…

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Q: Find the exact values of the following expressions. Decimal approximations will receive no credit!…

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Q: 19T If 0 then = sin(0) = %3D cos(8) = %3D

A: If θ=19π6We have to find sin(θ),cos(θ)

Q: 7 with A in QIII and find the following. 25 Let sin A = - sin 2A

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Q: Find the smallest positive period of the following functions 1) cos(x) Ans. 27 2) sin(x) Ans. 2n

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Q: If 0 = then 3 %3D sin(8) = %3D cos(e) = %3D

A: We have  this can be also written as

Q: 9. Evaluate. Give the exact answer, not a rounded off decimal. a. tan−1 (√3) b. sec (sin−1 ( 5 13))

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Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

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Q: Let sin A 13 12 with A in QII and sin B 3 with B in QIII. Find sin(A + B), %3D - 5 cos(A + B), and…

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Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

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Q: Prove that v2 cos(20+45°) = cos e-2sin Ocos 0-sin 0, where 0 is measured in degrees.

A: *formula:- cos(A+B) = cosA*cosB - sinA*sinB. sin2A = 2sinA*cosA. cos2A = cos^2(A) - sin^2(A).

Q: 14. Find the exact value of sin(-) if cos(r) 1 and 270° < x << 340°. ii) ii) - 2 iv) not listed

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Q: Q2-By using the formula cos(A – B) = cosAcosB + sinAsinB & sin(A – B) = sinAcosB - cosAsinB…

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Q: 1. Calculate the approximate value of the sin with an approximation 5 of ɛ = 10³.

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Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: 2-Find O for: y3tan? (cos x).

A: Using Chain rule we can solve the given derivative problem

Q: If cos (alpha + beta ) = 0 , then sin (alpha - beta ) can be reduced to ?

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Q: 6. Suppose that < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0.

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Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

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Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

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Q: If csc(e) 13 and 90° < 0 s 180° , then the exact simplified value of 12 Hint sin(0) = %3D cos(0) =…

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Q: 16. Evaluate the definite integral cos?

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Q: e). Prove that Sin3A+sinA 25in2A -COSA

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Q: Q2-By using the formula cos(A – B) = cosAcosB + sinAsinB & %3D sin(A – B) = sinAcosB- cosAsinB…

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Q: Find all values of sin-V2 Given Z, = -1 + iv3 and Z, = -v3+i, show that In (Z,.Z2) # lnz, + InZ2 %3D

A: (a) We have to find all values of sin-12

Q: Find z where z = sin (æ²) cos (4²) COS

A: The given function is z=sinx2 cosy2.

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: Prove: sin? xcos?x = - cos(4x). 8.

A: We will use various trigonometric formulas to prove the given identity.

Q: 3. #5. If tan 0: and sin(0 + T) > 0, what is the exact value of cos 0= 2

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Q: 1- cos 0 1+ cos 0 sin 0

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Q: Suppose that 3π/2≤θ≤2π,  csc(θ)=11/4, find sin(θ)=______. (round to 3 decimal places)

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Q: S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. , evaluated at x 1 rad

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Q: 7) Given that tan(a) = with a in QIII and cot(B) = --with B in QIV, find sin(a +B) and cos(2a). %3D…

A: Given : tan(α)=23 with α in QIII and cot(β)=-14 with β in QIV. The objective is to find the value of…

Q: Suppose that π/2≤θ≤π, sin(θ)=2/9, find cos(θ)=______. (round to 3 decimal places)

A: Here, θ is in the second quadrant( π/2≤θ≤π) and cosine is negative in the second quadrant.