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melisa1 [442]
3 years ago
7

I'm really having trouble simplifying trigonometric expressions, I understand the identities, but sometimes I get stuck, and rea

lly need an explanation
sint + tan t
________
tan t
Mathematics
1 answer:
Karolina [17]3 years ago
8 0
\bf \cfrac{sin(t)+tan(t)}{tan(t)}\impliedby \textit{distributing the denominator}
\\\\\\
\cfrac{sin(t)}{tan(t)}+\cfrac{tan(t)}{tan(t)}\implies \cfrac{sin(t)}{\frac{sin(t)}{cos(t)}}+1\implies 
\cfrac{\frac{sin(t)}{1}}{\frac{sin(t)}{cos(t)}}+1
\\\\\\
\cfrac{sin(t)}{1}\cdot \cfrac{cos(t)}{sin(t)}+1\implies cos(t)+1
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
ollegr [7]

Answer:

<u>The expression to describe this sequence is Aₙ =  (n - 1) * 1  - 6</u>

Step-by-step explanation:

1. Let's write an expression to describe the sequence which first four terms are as follows:

- 6, -5, -4, - 3.....

Aₙ = (n - 1) * 1  - 6; A₁ = - 6

A₁ = (n - 1) * 1  - 6 = (1 - 1) * 1  - 6 = 0 * 1 - 6 ⇒A₁ = - 6

A₂ = (n - 1) * 1  - 6 = (2 - 1) * 1  - 6 = 1 * 1 - 6⇒ A₁ = - 5

A₃ = (n - 1) * 1  - 6 = (3 - 1) * 1  - 6 = 2 * 1 - 6⇒ A₁ = - 4

A₄ = (n - 1) * 1  - 6 = (4 - 1) * 1  - 6 = 3 * 1 - 6⇒ A₁ = - 3

A₅ = (n - 1) * 1  - 6 = (5 - 1) * 1  - 6 = 4 * 1 - 6⇒ A₁ = - 2

A₆ = (n - 1) * 1  - 6 = (6 - 1) * 1  - 6 = 5 * 1 - 6⇒ A₁ = - 1

A₇ = (n - 1) * 1  - 6 = (7 - 1) * 1  - 6 = 6 * 1 - 6⇒ A₁ = 0

5 0
3 years ago
Can some one pls help
solniwko [45]

Answer:

\frac{AC}{DF} = \frac{5}{2}

Step-by-step explanation:

Scalene triangle are the triangle with no side are equal in length also each angle have different measure.

As given there are two scalene triangle, which are similar.

∴ Side of both the triangle will be propotionally equal.

Scale is given for both the triangle, which is 5:2.

We know, scale factor= ratio of the side.

Looking the option provided, we see \frac{AC}{DF} = \frac{5}{2}

As the sides of both the triangle is propotionally equal

Hence, \frac{AC}{DF} = \frac{5}{2}.

3 0
3 years ago
The real number −16 belongs to which sets of numbers?
WINSTONCH [101]

Answer:

Whole numbers

Step-by-step explanation:

Its not integers, Irrational numbers, or natural numbers. I can tell you what each one means to prove it.

6 0
3 years ago
If Bob deposits $5,000 at the beginning of each year for 10 years in an account paying 12% interest compounded annually, find th
Leto [7]

Answer:

A

Step-by-step explanation:

R = $7,500, i = 12% interest compounded semiannually for 3 years ... 12) Payments of $500 made at the beginning of each year for 7 years at 12% ... 15) If Bob deposits $5,000 at the end of each year for 8 years in an account paying 10% ... annually, find the amount he will have on deposit. $ 575.25. N=8. To = 10.

3 0
3 years ago
Read 2 more answers
Ben is 12 years older than Ishaan. Ben and ishaan first met two years ago. Three years ago, Ben was 4 times as old as ishaan. Ho
Natasha_Volkova [10]

Answer: I think Ishaan was 2 years and 2 months old

Step-by-step explanation:

hhhgggfffddd

6 0
3 years ago
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