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Darina [25.2K]
3 years ago
10

Which steps can be used to verify that tan(w + Pi) = tan(w)? Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expressi

on using tan(Pi) = 1. Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 0. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 1. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0

Step-by-step explanation:

According to tangent sub identity

Tan(A+B) = TanA+TanB/1-tanAtanB

Applying this in question

Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)

According to trig identity, tan(pi) = 0

Substitute

Tan(w+Pi) = tan(w)+0/1-tan(w)(0)

Tan(w+Pi) = tan(w)/1

Tan(w+Pi) = tan(w) (proved!)

Hence the correct option is

Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0

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Find a degree 3 polynomial having zeros -5, 1 and 5 and the coefficient of x^3 equal 1
mote1985 [20]

Answer:

x^3 -x^2 -25x +25

Step-by-step explanation:

\text{The roots are,}~ \alpha  = -5,~ \beta = 1 ~ \text{and}~ \gamma = 5\\\\\text{The polynomial is,}\\\\~~~x^3 - (\alpha + \beta + \gamma)x^2+(\alpha \beta + \beta \gamma+ \gamma \alpha)x - \alpha\beta \gamma\\\\=x^3 - (-5+1+5)x^2 +(-5 \cdot 1 + 1 \cdot 5 + 5 \cdot -5)x - (-5)(1)(5)\\\\=x^3 -(0+1)x^2 + (-5+5-25)x +25\\\\=x^3 -x^2 -25x +25

7 0
2 years ago
A number written in fraction form whose numerator or denominator is itself a fraction is called a complex fraction.
pickupchik [31]
<h3>Answer:</h3>

"complex"

<h3>Explanation:</h3>

The sentence you're to complete is a direct copy of the sentence at the beginning of the problem statement. Match the words and identify the one corresponding to the blank.

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<em>Comment on the example</em>

"Copy and paste" does not always work well on Brainly, especially when the characters being copied are not text characters. Many fractions get mangled in the process.

We suspect you intend ...

(1/3)/(4/7) = (1/3) ÷ (4/7)

In typeset form, this might be ...

\displaystyle\frac{\left(\frac{1}{3}\right)}{\left(\frac{4}{7}\right)}

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Please note that the symbols "/" and "÷" and the word "over" are generally taken to mean exactly the same thing.* When math operations are involved in numerators or denominators, generally you need to enclose those numerators and denominators in parentheses.

1/3÷4/7 = 1/(3·4·7) = 1/84

(1/3)÷(4/7) = (1/3)·(7/4) = 7/12

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* Some web sites treat them differently. Sometimes "÷" is taken to mean "the quantity everything that comes before the symbol '÷' divided by the quantity everything that comes after the symbol". Sometimes the word "over" is intended to mean the same thing. This usage for ÷ and "over" is non-standard, so it is best to use parentheses to clarify intent.

5 0
4 years ago
In the figure below, if angle T measures 130 degrees, what is the measure of angle Q?
krek1111 [17]

Circle theorem:

The angle at the centre (T) is double the angle at the circumference (Q)

---> That also means that:

The angle at the circumference (Q) is <u>half</u> the angle at the centre (T)

Since T = 130 degrees;

Q = 130 divided by 2

   = 65°

___________________________________

Answer:

∠Q = 65°

5 0
3 years ago
Read 2 more answers
Solution or not a solution<br><br> and because
tamaranim1 [39]

Step-by-step explanation:

X + Y = -3

X + 3x +5 = -3

X=-2

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Y=-3+2

Y=-1

5 0
3 years ago
A metal rod is 25.000cm long at 25.0 degrees Celsius. When heated to 102.0 degrees Celsius, it is 25.054 cm long. What is the co
inn [45]
<span>You may deduce what it represents by analyzing the formula you just wrote.
Well, </span>the coefficient of linear expansion as the fractional change in length per degree of temperature change. 

ΔL = c x L(initial) x ΔT 

where c is the coefficient of linear expansion. You can rewrite the equation to give you c. 

c = ΔL / [L(initial) x ΔT] 

<span>Just substitute the variables and the answer will be
c = 0.000028. </span>

Now, what it represents.It may represent the extent to which the rod expands with temperature when compared to its original length. 
6 0
4 years ago
Read 2 more answers
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