Rewrite each expression as a product. Simplify if possible.    sin 7x + sin 3x

Q: (3 – 4i) (2 +2i)

A: Given that, (3 - 4i)(2 + 2i) We have tof simplify the given statement in the form of a + bi and…

Q: Write each expression in terms of sines and/or cosines and then simplify.

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Q: Express the given sum or difference as a product of sines and/or cosines. cos x+ cos 7x cos x+ cos…

A: Explanation of the answer is as follows

Q: Write the product as a sum: 20 sin(23u)sin(9v)

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Q: If a = 2x -5i and b: 5x, then find the value of ab in fully simplified form.

A: Given,          a=2x-5i and b=5x

Q: Express the given sum or difference as a product of sines and/or cosines. sin 5x- sinx sin 5x- sin…

A: Our Aim is to express the  difference given below:-sin (5x)-sin (x) -(i) as a product of sines…

Q: write in the form a + bi (simplify first where necessary). identify “a” and “b”.

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Q: Express the given sum or difference as a product of sines and/or cosines. cos x+ cos 3x cos x+ cos…

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Q: Rewrite the given expression as a product. b) sin 7 sin(5) -

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Q: Find the area inside one leaf of the rose: = 4 sin(50)

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Q: Write the product as a sum or difference: 8 sin(466)sin(116) %3D

A: Given that: 8sin(46b)sin(11b)

Q: Rewrite each expression as a product. Simplify if possible.   cos 45 degree  +cos 15 degree

A: The given expression is cos45°+cos15°

Q: 4. (6 – 2i)

A: we know that, (a-b)2= a2+b2-2ab

Q: Factor each expression completely.     a. 1- y2b. 1 - cos 2 theta

A: We have to factor the given expression. We know the identity a2-b2=a+ba-b (a) We have to factor 1-y2…

Q: Express the given product as a sum or difference containing only sines or cosines. sin (9x) sin (4x)…

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Q: Find the exact value of each expression.Do not use a calculator.

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Q: Find the exact value of each expression.Do not use a calculator. csc 45° tan 60°

A: To find the exact value of the expression: csc45° tan60° Solution: We know that, cscx=1sinx and…

Q: Rewrite each expressions as a product. 2 5 sin b B- 5sin 2B

A: To rewrite each expression as a product: 5sin 6β-5 sin 12β Use  the formula: sin x+sin y=2 cos x+y2…

Q: Rewrite the expression below as a product. Simplify if possible. sin(3.r)+ sin(x) =

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Q: Answers 20. sin 30 + sin 100

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Q: 4-3i 7.) 2+i

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Q: find the exact value of each expression. Do not use a calculator.; csc 45° tan 60°

A: csc 45° tan 60°

Q: Factor each expression completely.     a. x 2- y2b. cos 2 theta - sin 2 theta

A: (a) x2-y2 = x-yx+y                Using, a2-b2=a-ba+b

Q: Write the product as a sum or difference: 16 sin(5t)sin(3t)

A: We have to solve

Q: Find the value of the product. 2 sin(52.5°) sin(82.5°)

A: Given:   2 sin(52.5°)sin(82.5°)To determine the given product.

Q: Write the product as a sum or difference. cos (-31) cos 61

A: We know that 2cosAcosB=Sin(A+B)-Sin(A-B)here A=-3t, B=6t

Q: Convert 46° to radians. Hint: Multiply by & simplify (remember your TI can do th 180 467 46x 360

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Q: Rewrite each expression as a product. Simplify if possible.   cos 5x -cos x

A: We have to rewrite the expression as in product form: cos 5x-cos x We know the identity, cos C-cos…

Q: Write each product as a sum or difference with positive arguments. -4 cos 8A sin 2A -2 sin 10A – 2…

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Q: Examples: Write the following complex num x + yi. a) Vi

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Q: Rewrite the expression as a product. Simplify if possible. cos 7x - cos x

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Q: Simplify each power of i.   i 12

A: We have to simplify each power of i   The given expression is  i12

Q: Write the product as a sum or difference: 12cos(34u)sin(9u)

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Q: Write each expression as a product.  sin3θ+sin10θ

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Q: csc x tan x

A: 1. Csc X = 1/Sin X 2. Tan X = Sin X/Cos X

Q: Write the product as a sum or difference: 14sin(46x)cos(24x)=

A: Use the trigonometry identities and simplify the result.

Q: Simplify each power of i.   i 22

A: We have to simplify the power of i: i22 We know that i=-1⇒i2=-1 Where, i is the imaginary unit.

Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference.…

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Q: Write 21 and Z2 in trigonometric form and find their product. - B+i, z, – 1- i3 4(cos 330° + i sin…

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Q: Write the product as a sum or difference: 8 sin(20c)sin(11c)

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Q: Simplify (26 + 18i) / (2 + 6i)

A: Given  (26+18i)/(2+6i) Simply using rationalization factor

Q: If a = -4 - 5i and b= 2x, then find the value of a b in fully simplified form. Answer:- Submit…

A: Given: ------------------------------------------ To determine: simplified expression.

Q: Write the product as a sum or difference with positive arguments.

A:

Q: Factor each expression completely.     a. x2 - xy b. sin2 theta - sin theta cos theta

A: To factorize an expression, we take common factors of all the terms of the expression. a. The given…

Q: Rewrite the expression as a product. Simplify if possible. Зл cos 8 COS 8 1.3

A: Given,

Q: sec?xcsc?x – sec²x – csc²x + 1= 1

A: In the given question we have to prove that sec2xcsc2x-sec2x-csc2x+1=1. formula used: In the…

Q: Factor the trigonometric expression and simplify. sec4x-2sec2xtan2x+tan4x

A: Recall the following fact to simplify the given expression.