[0.72(cos 235° + j sin235°)* 0.45(cos 84°+j sin 84°) b) Simplify give your answer in algebraic form.

Q: Use the appropriate formula to express the product cos 9x cos 2x as a sum or difference.

A: We will use the formula  With A=9x and B=2x

Q: Which of the following is an equivalent expression to: 1-cos² (0) sin (0) cos(0)

A:

Q: Integrate the following functions. Show the complete solutions and simplify the answers. ∫ sin4 x…

A: As the power of both sin x and cos x are even. Then use the trigonometric formulas to simplify it…

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify…

A:

Q: Reduce sin θ + 2 cos θ to the form r sin(θ + ϕ), and find ϕ

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Q: 2.) Find the exact value of: a) cos COS b) sin 75°

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Q: Find the exact value of the expression in the terms of x cos(sin- ()) '25-(ӕ—2)2 V8+(z-30)2 125…

A: Inverse Trigonometry

Q: Solve the following equation for 0° ≤ 0 ≤ 360°. sin²0 -1=0

A:

Q: Express in the form a + bi where a and b are real numbers.

A: we have z = 12cos4π3+ isin4π3    Now 4π3= π+π3 hence z = 12cosπ+π3+ isinπ+π3               =…

Q: Use a product-to-sum formula to rewrite cos4d sin 2d as a sum or difference. cos 4d sin2d = ||| %3D…

A:

Q: Cos x d.x 5. (1+ sin æ)5 6. csc (2x + 1) cot(2x + 1) dæ

A: The given integral is5.∫cos x(1+sinx)5dx6.∫csc3(2x+1)cot(2x+1)dx

Q: 4T 1.) sin 2.) cos 510

A:

Q: Verify that the equation is an identity. 41) cos 즉 2 = 1 - sin x 2 X sin 2

A: Here we have to verify the equation is an identity.   [cos(x/2) - sin(x/2)]2 = 1 - sin x

Q: valuate the following in the form of a + bi : (cos 30 + i sin 30 ) 4 (A) -0.5 + 0.866i B 4 cos 30 +…

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Q: Find the exact value of the following expression. sin [2 cos (-1)] sin [2 cos (-1)] =O

A:

Q: Determine all real solutions to the following equation. 2 sin (4.r) = 1 – cos(4x)

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Q: The value of ( sin A+ cos A)2 - sin 2A is

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Q: d. Hence solve. cos 20-sin0=-2 for 0 ses360°

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Q: The following are solutions of sin2x+sinx=0 EXCEPT А. 3. B.n D. 3 O A O D

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Q: Use the following conditions to solve Exercises 1-4: na = §, 5 < a < # cos ß = .0 < B <{ Find the…

A: 1. Given that, sinα=45 ; π2&lt;α&lt;πcosβ=513 ; 0&lt;β&lt;π2 We have to find cosα+β. Then we get,…

Q: The following are solutions of sin2x+sinx=0 EXC.

A: Given,        sin2x+sinx = 0

Q: The Equivalent expression of (cos 3A) / (sin A cos A) is ?

A:

Q: 2 (cos 150° + i sin 150°

A: The given complex number is in Polar form, so we covert it into Cartesian form by using the…

Q: Find the exact value of the following expressions: 50 b. sin 8. a. tan 8. C. cos 15° -

A: Here only cos15° having exact value other part a and b value depends upon theta. So i am solving…

Q: please answer all the parts

A:

Q: Find the identical expression for the following. sin4 A -cos 4A

A: Given, The expression  sin4A-cos4A  We have to find the identical expression for  sin4A-cos4A.

Q: The value of So" 6 (4+ cos2x)dx is:

A:

Q: 3. Given that cos 30 J3 and sin 4S = 2, without the use of a %3D %3D 2. 2. calculator, evaluate…

A:

Q: 8. Apply the formula for cos (A-B) to the identity sin 0= cos E -0) to obtain the addition formula…

A: We have the Identity: sin θ=cosπ2-θ Now, we have sin(A+B)=cos π2-(A+B) (Using above identity)…

Q: Rewrite sin 2 cos as an algebraic expression in v. 4 sin 2 cos 4 믐 =

A: We have to write the trigonometric expression as algebraic form in terms of v.

Q: Noel claims to have found a solution to the equation sin 101 x + cos99 2022. Which statement below…

A: Given that: sin101x+cos99x=2022

Q: Use a sum-to-product formula to rewrite cos 7a- cos 4a as a product. cos 7a - cos4a =|| sin

A: Topic - trigonometric identities Cos (x) - cos (y) = -2 sin((x+y)/2)×sin((x-y)/2)

Q: Evaluate the following expressions. Enter exact answers using fractions. 12 sin cos 13 :)) -D -1 tan…

A: Given, sincos-1-1213 tansin-1-45 We have the evaluate the expression and write the exact values.

Q: Prove that, cos20 + sin?0 = 1

A: Let a, b and c be the lengths of right angled triangle. Then by definition,

Q: Use the formulas 1 1 i0 cos 0 = (e" + e-) and sin0 = 2i to obtain the identity 1 (cos 40 – 4 cos 20…

A: See the detailed solution below.

Q: What are the two values of k closest to -7 for which , sin2 (x +7)- cos2(x +7) da has a value of 12…

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Q: Show that sin (A + B) is not, in general, equal to sin A + sin B by substituting 30 degree forA and…

A: To prove: sin (A + B) is not, in general, equal to sin A + sin B Given information: The value of A…

Q: Determine an identity for cos 30 in terms of sin 0 and cos 0. 13.

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Q: Find the exact value of the following expression. V3 1 sin | 2

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Q: Explain why it is not possible to solve for cos(0) = 3 Use a diagra %3D

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Q: 5. sin 0 ( 2 cos 0 – 1) = 0

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

Q: 6. sin 20 + cos 0 = 0

A: Topic- Trigonometry

Q: Derive the following formulas: cos 2x =1-2 sin² x

A:

Q: Simplify: cos^4 A − sin^4 A

A: In this question, we need to simplify cos4 A -sin4 A.

Q: What is the formula for sin (A/2)

A: Formula of sin(A/2)

Q: 4 Ssin*(x)cos¯(x)dx

A:

Q: Find the exact value of the expression whenever it is defined. a. cos( 2 sin-1(3/5)) b.  tan(2…

A: given: a cos2sin-135,b tan2tan-152 we know that cos2θ=1-2sin2θ…