UrbanPro

Take Class I-V Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Prove that (sinA-cosA+1)/(sinA+cos-1)=1/(secA-tanA)

Asked by Last Modified  

Follow 13
Answer

Please enter your answer

Personalized CBSE & ICSE Science & Chemistry Coaching.

LHS = (sinA-cosA+1)/(sinA+cos-1) = (1 + sinA) (1 - sinA)/cos A(1 - sinA) = 1 - sin2A/cos A(1 - sinA) = cos2A/cos A(1 - sinA) = cosA/(1 - sinA) = 1/ (1/cosA - sinA/cosA) = 1/(secA - tanA) = RHS Hence Proved
4 Comments

Tutor

LHS = (sinA-cosA+1)/(sinA+cos-1) = (1 + sinA) (1 - sinA)/cos A(1 - sinA) = 1 - sin2A/cos A(1 - sinA) = cos2A/cos A(1 - sinA) = cosA/(1 - sinA) = 1/ (1/cosA - sinA/cosA) = 1/(secA - tanA) = RHS Hence Proved
Comments

divide Numerator and Denominator bu Cos A = Tan A - 1 + Sec A / Tan A + 1 - Sec A since (1+ Tan^2 A) = Sec^2 A or 1 = Sec^2 A - Tan^2 A =( Tan A + Sec A - 1) / =( Tan A + Sec A - 1) / = ( Tan A + Sec A - 1) / = ( Tan A + Sec A - 1) / = 1/ {sec A - Tan A}
read more
divide Numerator and Denominator bu Cos A = Tan A - 1 + Sec A / Tan A + 1 - Sec A since (1+ Tan^2 A) = Sec^2 A or 1 = Sec^2 A - Tan^2 A =( Tan A + Sec A - 1) / [Tan A - Sec A+( Sec^2 A - Tan^2 A)] =( Tan A + Sec A - 1) / [(Tan A - Sec A)+( Sec^2 A - Tan^2 A)] = ( Tan A + Sec A - 1) / [- ( Sec A - tan A) + ( Sec^2 A - Tan^2 A)] = ( Tan A + Sec A - 1) / [ ( Sec A - tan A){ Tan A + Sec A - 1] = 1/ {sec A - Tan A} read less
Comments

School Tutor

LS= Sin A - CosA +1 / Sin A + Cos A -1 divide Numerator and Denominator by Cos A = Tan A - 1 + Sec A / Tan A + 1 - Sec A since (1+ Tan^2 A) = Sec^2 A or 1 = Sec^2 A - Tan^2 A =( Tan A + Sec A - 1) / =( Tan A + Sec A - 1) / = ( Tan A + Sec A - 1) / = ( Tan A + Sec A - 1) / = 1/ {sec...
read more
LS= Sin A - CosA +1 / Sin A + Cos A -1 divide Numerator and Denominator by Cos A = Tan A - 1 + Sec A / Tan A + 1 - Sec A since (1+ Tan^2 A) = Sec^2 A or 1 = Sec^2 A - Tan^2 A =( Tan A + Sec A - 1) / [Tan A - Sec A+( Sec^2 A - Tan^2 A)] =( Tan A + Sec A - 1) / [(Tan A - Sec A)+( Sec^2 A - Tan^2 A)] = ( Tan A + Sec A - 1) / [- ( Sec A - tan A) + ( Sec^2 A - Tan^2 A)] = ( Tan A + Sec A - 1) / [ ( Sec A - tan A){ Tan A + Sec A - 1] = 1/ {sec A - Tan A} = RS..proved read less
Comments

LHS = (sinA-cosA+1)/(sinA+cos-1) = (1 + sinA) (1 - sinA)/cos A(1 - sinA) = 1 - sin2A/cos A(1 - sinA) = cos2A/cos A(1 - sinA) = cosA/(1 - sinA) = 1/ (1/cosA - sinA/cosA) = 1/(secA - tanA) = RHS
Comments

Science loving

LHS = (sinA-cosA+1)/(sinA+cos-1) = (1 + sinA) (1 - sinA)/cos A(1 - sinA) = 1 - sin2A/cos A(1 - sinA) = cos2A/cos A(1 - sinA) = cosA/(1 - sinA) = 1/ (1/cosA - sinA/cosA) = 1/(secA - tanA) = RHS Hence Proved
Comments

Why we dived thi
Comments

LHS = (sinA-cosA+1)/(sinA+cos-1) = (1 + sinA) (1 - sinA)/cos A(1 - sinA) = 1 - sin2A/cos A(1 - sinA) = cos2A/cos A(1 - sinA) = cosA/(1 - sinA) = 1/ (1/cosA - sinA/cosA) 1/(secA-tanA)
Comments

general knowledge,math magician

LHS = (sinA-cosA+1)/(sinA+cos-1) = (1 + sinA) (1 - sinA)/cos A(1 - sinA) = 1 - sin2A/cos A(1 - sinA) = cos2A/cos A(1 - sinA) = cosA/(1 - sinA) = 1/ (1/cosA - sinA/cosA) = 1/(secA - tanA) = RHS Hence Proved
Comments

SinA-cocA+1/sinA+cosA+1=1/secA+tanA
Comments

View 9 more Answers

Related Questions

I have now completed B.Tech in Mechanical Engineering. I want to start teaching Mathematics for class 9th upto 12th leve, physics up to 10th level and also capable to teach Engineering math. Please guide me how I can start my career in this field?
If you are just a college pass out you can get students from your college too , and after that popularity will start increasing depending on your quality of teaching.
Balmikee
The ratio of actual mass of water vapour in a unit mass of dry air to the mass of water vapour in the same mass of dry air is known as................
Humidity is the amount of water vapor in the air. There are three main measurements of humidity: absolute, relative and specific. 1. Absolute humidity is the water content of air. 2. Relative humidity,...
Balmikee
hi frends...feel free to ask any questions...thank u..all d best for exam
Check whether he knows the 5 strokes: 1st “---“sleeping line, 2nd “/ “slanting line, 3rd “I” standing line 4th “C “half a circle and 5th is the other half of the circle. Help him to write them...
Ravi Ranjan
0 2
9
What is the meaning of mystification?
the state of feeling very confused because someone or something is impossible to understand:
Bandana

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

English: Countable And Uncountable Nouns
1. Countable Nouns: Countable nouns are nouns that can be counted as one or more. An "s" is usually added to make the word plural. Uncountable nouns are nouns that cannot be counted. They usually express...
A

Atharva

0 0
0

Some definitions about Maths
Natural Numbers are set of those numbers which start from 0 to infinite ∞ are called natural numbers. Whole Numbers are set of natural numbers along with 0 are called whole numbers. Intergers are...

Advanced Mathematics for your children
Every one of you want to make a strong base in math of your children: At first, try to habituate you children by using the table- learning table, helps your children to make sharp their brain and they...

English: Parts of Speech
Parts of Speech Definition Example Words NOUN A person, place, or thing. Example: Dog, work, music, town, London, teacher, John. VERB Action or a state of being. A verb is an action word. Example: Be,...
A

Atharva

2 0
0

Reported speech
We use reported speech when we are saying what other people say, think or believe. He says he wants it. We think you are right. I believe he loves her. Yesterday you said you didn't like it but...
T

Trisha C.

0 0
0

Recommended Articles

An informative subject entirely relies upon the experimented information's and scientific methods, Science is a disciplined way of studying the natural world. Simply you can say, Science is a subject which is completely focused on the facts and evidences concerning the natural and social world. Today, the significance of...

Read full article >

Putting in all your effort yet not scoring well during exams is a common challenge that students face. Students extend their study hours, take guidance from new home tutors yet there is no difference in their performance. Along with students, even some parents become concerned about the deterioration in their child’s performance...

Read full article >

Everyone has this familiar feeling of butterflies fluttering inside stomach whenever there is an exam round the corner. However, managing this jittery sensation and bringing down the anxiety level are what need to be done before an exam. Naturally, how to prepare for exams is the most common issue that daunts a student. Since...

Read full article >

Just because your child has started going to school does not imply you have to appoint a home tutor. Appointment of home tutor or tuition teacher for every child requires the right time and need. It is parents who have to look into the present academic status of their children and take a call, whether to hire a home tutor...

Read full article >

Looking for Class I-V Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class I-V Tuition Classes?

The best tutors for Class I-V Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class I-V Tuition with the Best Tutors

The best Tutors for Class I-V Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more