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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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Combining like terms with rational coefficients <br> 7/8m+9/10-2m-3/5
nikklg [1K]

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing \frac{7}{8}m-2m first. Afterwards, do \frac{9}{10}-\frac{3}{5}

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). \frac{9}{10} -\frac{6}{10}=\frac{3}{10}

Step 3: 1.125+3/10

7 0
3 years ago
Two shops sell the same brand of baked beans but in different sizes of tin.
serg [7]

Answer:

Price in shop B is cheaper by 12 p per kg

Step-by-step explanation:

<u>Shop A</u>

  • £5.65/5= £1.13 = 113 p

<u>Shop B</u>

  • £2.02/2= £1.01= 101 p

Price in shop B is cheaper by 12 p per kg

5 0
3 years ago
8x10to the 3rd power
asambeis [7]

Answer:

512000

Step-by-step explanation:

8*10

80*80*80

7 0
3 years ago
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How is a square related to a rhombus
Eduardwww [97]

Answer:

A Rhombus is basically a square turned diagonally my dude

Step-by-step explanation:

5 0
2 years ago
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The sum of 5 consecutive integers is 205. What is the third number?
Elza [17]
If 5 consecutive integers is 205,

then a + b + c + d + e = 205
 but also, each integer is separated  by a difference of 1

⇒  a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒  5a + 10 = 205
⇒            5a = 195
⇒               a = 39

∴ third term = 39 + 2
                     = 41
7 0
2 years ago
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