![mari200150](/avatars/19620.jpg)
mari200150
08.12.2020 •
Mathematics
7) Find the slope of the line through (-2, 6) and (3, 14) (pic below)
A. 8/5
B. 5/8
C. -8/5
D. 8/11
Solved
Show answers
More tips
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- S Style and Beauty How are artificial nails removed?...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Properly Use a Water Level?...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- H Health and Medicine How to Treat Styes: Causes, Symptoms, and Home Remedies...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- T Travel and tourism Lost in the Catacombs: What to Do?...
Answers on questions: Mathematics
- M Mathematics When you realize you have this one week to get your work done before you fail but your on instead...
- B Biology 100 points! how does variation, adaptation, and increased fitness all connect...
- M Mathematics A particular computer takes 12 minutes to download a 48 minute TV show. How long will it take the computer to download a 2 hour movie?...
- M Mathematics Seraphina picked 120 strawberries in six hours. At this rate, how many strawberries did Seraphina pick in 4 hours?...
- A Advanced Placement (AP) These are all true or false pls me now (psychology) 1.) retention is the ability to keep information or events in one’s memory. 2.)phonemic encoding is emphasizing the sound of a...
Ответ:
The expression![\bold{(\sec x+\tan x)^{2} \text { is same as } \frac{1+\sin x}{1-\sin x}}](/tpl/images/0295/9750/33be4.png)
Solution:
From question, given that![\bold{(\sec x+\tan x)^{2}}](/tpl/images/0295/9750/9b02f.png)
By using the trigonometric identity
the above equation becomes,
We know that![\sec x=\frac{1}{\cos x} ; \tan x=\frac{\sin x}{\cos x}](/tpl/images/0295/9750/b0848.png)
On simplication we get
By using the trigonometric identity
,the above equation becomes
By using the trigonometric identity![(a+b)^{2}=a^{2}+2ab+b^{2}](/tpl/images/0295/9750/cc817.png)
we get![1+2 \sin x+\sin ^{2} x=(1+\sin x)^{2}](/tpl/images/0295/9750/d71a2.png)
By using the trigonometric identity
we get ![1-\sin ^{2} x=(1+\sin x)(1-\sin x)](/tpl/images/0295/9750/363ae.png)
Hence the expression![\bold{(\sec x+\tan x)^{2} \text { is same as } \frac{1+\sin x}{1-\sin x}}](/tpl/images/0295/9750/33be4.png)