Answers 20. sin 30 + sin 100

Q: Perform the indicated operation: (5+2i) x (6-6i)

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Q: 1. Write the 6 reciprocal Identities

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Q: Find the following product and write the result in standard form, a +b i. (-8+5i)(1+ i) (-8+5i)(1 +…

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Q: Factor each expression completely.   a. 2x2 +3x +1b. 2 sin2 u + 3 sin theta +1

A: Given expressions are, a. 2x2 +3x +1b. 2 sin2 u + 3 sin theta +1

Q: 2) tan 20 = 0

A: According to the guideline we should have been able to do only one question at a time #1

Q: Evaluate the expression (8 +3i) + (7 – 6i) and write the result in the form a + bi.

A: Given : (8 + 3i) + (7 - 6i)

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

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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: Write each expression in the standard form a + bi.

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

A: The given expression is cos45°+cos15°

Q: find each of the indicated products or quotients, and express the answers in standard form. (5 -…

A: To find product                           (5-2i)(4+6i)

Q: Find the product. (3 + 4i)(4 − i)

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Q: Write the expression in the standard form a +bi. 6. LV6 ( cos 25° + i sin 25°)]°

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Q: Evaluate the expression (5 – 6i) – (–1+6i) and write the result in the form a + bi. Question Helps

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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: 4-3i 7.) 2+i

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Q: If a = 5i and b =-3x, then find the value of a b in fully simplified form.

A: Ques : Given that a=5i and b = -3x we have find a2b in simplified form

Q: 2+Si 6-8i

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Q: Evaluate the expression ( – 6 + 2i) – (6 + 4i) and write the result in the form a + bi.

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Q: perform the indicated operations.Write the answer in standard form, a+bi 12-5i / 9+2i

A: The objective is to write 12-5i9+2i in the standard form a+bi

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

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Q: Write each of the following in degrees.     3pi/2

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Q: find the exact value of each expression.

A: The exact values of trigonometric functions can be calculated by applying the trigonometric values…

Q: 21 28. 29.극 41

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Q: perform the indicated operation and simplify. (4 + 3i)/(6 - 2i)

A: The given expression is 4+3i6-2i   Apply complex arithmetic rule:  a+bic+di = c-dia+bic-dic+di =…

Q: Write each of the following in degrees.      3pi /4

A: Given:3π4

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

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Q: Write the product as a sum: 20 sin(17v)sin(15v) =

A: Write the formula of 2sinAsinB=cos(A-B)-cos(A+B). And solution is given below in the image.

Q: ind the value of (-1-√√3i) 267

A: Please refer to the image below

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

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

A: Use the trigonometry identities and simplify the result.

Q: Write the product as a sum or difference: 20 sin(46v)sin(12v)

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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: Write each of the given numbers in the form a + bi : (a) e- i, e(1+i27) (b) el-1+) i, (c) ee i.

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Q: Find the value of x in each triangi 1. 2. 45 X 45 8.

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Q: 4. sin B

A: A right angled triangle ABC  with sides AB = 41 (H) AC = 9 (P) BC = 40 (B)

Q: Perform the indicated operation a) (12 + 2i) - (4 – 3i)

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Q: 2) (-5 +2i) (7i)

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Q: Simplify each expression. 6.) (4 +3i) – (–1 + 41)

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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: -4i eti – e (a) 2i +

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Q: Simplify the expression (4 – 4i)(3i – 4) + |5 – i| to the form a + yi where a and y are real…

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Q: Perform the indicated operation(s) and write the result in standard form: (4 - i)2 - (1 + 2i)2

A: Given4-i2-1+2i2

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.