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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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Irina18 [472]
X= -1 and -11
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3 years ago
Please answer both with work,please use a paper and picture, thanks ​
Irina-Kira [14]

Answer:

a.  $ \frac{\textbf{17}}{\textbf{4}} $

b.  $ \frac{\textbf{3}}{\textbf{8}} $

Step-by-step explanation:

a. $ \textbf{3} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{1}\frac{\textbf{1}}{\textbf{4}} $

A mixed fraction of the form $ a\frac{x}{y} = a + \frac{x}{y} $

$ \therefore 3 + 1\frac{1}{4} = 3 + 1 + \frac{1}{4} $

$ = 4 + \frac{1}{4} $

$ = \frac{\textbf{17}}{\textbf{4}} $

b. $ \textbf{2} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{1}\frac{\textbf{5}}{\textbf{8}} $

A mixed fraction of the form $ -c\frac{a}{b} = - c - \frac{a}{b} $

$ \therefore 2 - 1\frac{5}{8} = 2 - 1 - \frac{5}{8} $

$ = 1 - \frac{5}{8} $

$ = \frac{8 - 5}{8} $

$ = \frac{\textbf{3}}{\textbf{8}} $

Hence, the answer.

8 0
3 years ago
Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
Vikentia [17]

Step-by-step explanation:

=  \sqrt{x} .4 \sqrt{x}

=  {x}^{ \frac{1}{2} }  \times 4 {x}^{ \frac{1}{2} }

= 4 {x}^{ \frac{1}{2} +  \frac{1}{2}  }

= 4 {x}^{ \frac{2}{2} }

= 4 {x}^{1}

= 4x

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2 years ago
okay so we have this question of the week thing and this week our answer is 47 so i need a algebra problem that equals 47 can so
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Answer: 5 times 5 plus 11 plus 11

Step-by-step explanation:

Creating an algebra problem that equals to 47.

5 times 5 is 25

25 plus 11 is 36

36 plus 11 is 47

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3 years ago
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