Sign In Sign Up Ask an AI advisor

engbarthcobie

engbarthcobie

19.02.2021 •

Health

9.
(1 + tan²theta) cot theta
cosec theta
tan theta

Solved

Show answers

Ответ:

Lydiaxqueen

21.03.2021

Proved

Explanation:

Given

$\frac{(1+tan^2\theta). cot\theta}{cosec^2 \theta}= tan \theta$

Required

Prove

In trigonometry:

$1 + tan^2\theta = sec^2\theta$

So, we have:

$\frac{sec^2\theta * cot\theta}{cosec^2 \theta}= tan \theta$

Express each identity as an inverse:

$\frac{\frac{1}{cos^2\theta} * \frac{1}{tan\theta}}{\frac{1}{sin^2 \theta}}= tan \theta$

Rewrite as:

$(\frac{1}{cos^2\theta} * \frac{1}{tan\theta})/ \frac{1}{sin^2 \theta}= tan \theta$

Express tan as sin/cos:

$(\frac{1}{cos^2\theta} * \frac{1}{sin\theta/cos\theta})/ \frac{1}{sin^2 \theta}= tan \theta$

$(\frac{1}{cos^2\theta} * \frac{1}{sin\theta/cos\theta}) * sin^2 \theta= tan \theta$

$(\frac{1}{cos^2\theta} * \frac{cos\theta}{sin\theta}) * sin^2 \theta= tan \theta$

$(\frac{1}{cos\theta} * \frac{1}{sin\theta}) * sin^2 \theta= tan \theta$

$\frac{sin^2 \theta}{cos\theta*sin\theta}= tan \theta$

$\frac{sin \theta}{cos\theta}= tan \theta$

$tan \theta= tan \theta$

Proved

0,0(0 оценок)

Ответ:

bloodyflower2003

02.03.2021

In the ecological systems approach, the microsystem is made up of the people and relationships that most directly influence the child's life. The microsystem is the child's immediate surroundings which are what make up their developmental influences.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

S Sport Playing Bowling: Rules and Advice for Novices...
C Computers and Internet How to Properly Repartition a Hard Drive?...
A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
L Leisure and Entertainment Should You Buy a Ceramic Knife?...
C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
G Goods and services How to sew a ribbon: Tips for beginners...
F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
C Computers and Internet Which Phone is Best for Internet Surfing?...
F Food and Cooking Everything You Need to Know About Pasta...
C Computers and Internet How to Choose a Monitor?...

Answers on questions: Health

H Health Babe, baby, baby, I m gonna leave you I said baby, you know I m gonna leave you I ll leave you when the summertime Leave you when the summer comes a-rollin Leave you when the summer...
H Health Any Fujoshi s/Fudanshi s wanna be friends? I lost all of mine bc my acc got banned. ;-;...
H Health How many people died in the 2003 sars pandemic?...
H Health Which behaviors would be classified as a healthy eating choices...
H Health 7. which is not one of the main functions of the cardiovascular system? on...
H Health How many minutes in total is a surgeon required to wash their hands if using povidone iodine? apart from hands, what else does a surgeon need to wash? how does a surgeon need to dry...
M Mathematics What is the solution set for the following intequality -3x+2 11...
M Mathematics Quadrilateral ABCD is transformed according to the rule (x,y)- (X + 4, y + 6) to create A B C D . A The lengths of ABCD are twice the corresponding side lengths of A B C D B The angle...
M Mathematics Chloe is making brownies that call for 4 large eggs to make 16 brownies. How many eggs will she need if she wants to make 40 brownies but keep the same great recipe flavor ?...
P Physics The moon is significantly smaller than the sun. Why is the moon able to fully block the sun from our view on Earth?...

S Sport S Society and Politics G Goods and services C Cities and Countries A Animals and plants L Legal consultation W Work and Career C Construction and repair H Health and Medicine D Dating, Love, Relationships H Horoscopes, Magic, Divination S Style and Beauty L Leisure and Entertainment S Science and Technology P Photography and Videography A Art and Culture O Other P Philosophy F Food and Cooking B Business and Finance T Travel and tourism F Family and Home A Auto and Moto

Show more

Full access

It will provide effective and fast learning by providing unlimited access to the knowledge base and receiving answers from experts and an AI advisor.

Subscribe

Ask an AI advisor a question

I want advice

ABOUT US

About us
Terms of use
Copyright
Privacy Policy
Cookie policy
Cookie preferences

HELP

Sign Up
FAQ
Security Center

App

Spanish Geography Health Engineering Arts Social Studies Advanced Placement (AP) German SAT History Computers and Technology Physics Chemistry Biology Law Mathematics World Languages French Business Medicine