UrbanPro

Location Set your Location

Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 10 Tuition from the Best Tutors

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

Book a Free Demo

Class 10 > Learn Mathematics > If tan|+sin|=m and tan|- sin|=n, show that (m2-n2)=4?mn
✕

Search in

If tan|+sin|=m and tan|- sin|=n, show that (m2-n2)=4?mn

Asked by Last Modified  

2 Answers

Learn Mathematics +1 Class IX-X Tuition

Follow 2
Answer

Please enter your answer

Math Magician

read more 
m =tanA + sinA
n =tanA - sinA
m^{2}-n^{2} =(tanA + sinA)^{2} - (tanA-sinA)^{2}
m^{2}-n^{2} =4tanA.sinA
mn = (tanA+sinA)(tanA-sinA)
mn = tan^{2}A-sin^{2}A
mn = sin^{2}A(\frac{1}{cos^{2}A}-1)
mn = sin^{2}A(\frac{1-cos^{2}A}{cos^{2}A})
mn = sin^{2}A(\frac{sin^{2}A}{cos^{2}A})
mn = sin^{2}A.tan^{2}A
\sqrt{mn} = sinA.tanA
m^{2}-n^{2} =4tanA.sinA
m^{2}-n^{2} =4\sqrt{mn}
read less
Comments
Dislike Bookmark

Maths Trainer with 21 years of experience

m =tanA + sinA n =tanA - sinA m^{2}-n^{2} =(tanA + sinA)^{2} - (tanA-sinA)^{2} m^{2}-n^{2} =4tanA.sinA mn = (tanA+sinA)(tanA-sinA) mn = tan^{2}A-sin^{2}A mn = sin^{2}A(\frac{1}{cos^{2}A}-1) mn = sin^{2}A(\frac{1-cos^{2}A}{cos^{2}A}) mn = sin^{2}A(\frac{sin^{2}A}{cos^{2}A}) mn = sin^{2}A.tan^{2}A \sqrt{mn}...
read more
m =tanA + sinA n =tanA - sinA m^{2}-n^{2} =(tanA + sinA)^{2} - (tanA-sinA)^{2} m^{2}-n^{2} =4tanA.sinA mn = (tanA+sinA)(tanA-sinA) mn = tan^{2}A-sin^{2}A mn = sin^{2}A(\frac{1}{cos^{2}A}-1) mn = sin^{2}A(\frac{1-cos^{2}A}{cos^{2}A}) mn = sin^{2}A(\frac{sin^{2}A}{cos^{2}A}) mn = sin^{2}A.tan^{2}A \sqrt{mn} = sinA.tanA m^{2}-n^{2} =4tanA.sinA m^{2}-n^{2} =4\sqrt{mn} read less
Comments
Dislike Bookmark

Related Questions

What is the use of coordinate geometry ?
It's uses are spread in all fields like trigonometry, calculus, dimensional geometry, etc. Suppose we have to find the distance between 2 points, we can use the help of coordinate geometry for this. The...
Kudo
Is it good to take 2 maths tuition in class 10?
No. Concentrate and clarify all your doubts with only one tution teacher.
Y
0 0
5
How do I score 90 marks in Maths for CBSE in class 10?
You can also score a 100 out of 100 in maths. The only key to success in maths is practice. Solve maximum number of problem and do not skip steps.
Saritha
A man buys a cycle for Rs 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Loss = Loss%/100 * CP = (15/100) * 1400 = 210 SP = CP - Loss = 1400 - 210 = 1190
Shubham
Had Ravita scored 10 more marks in her Mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?
Let Ravita's score be x out of 30. We first form an equation based on the information provided in the question. The equation turns out to be 9(x+10)=x^2 -> x^2-9x-90=0 -> (x-15)(x+6)=0 SO, the possible...
Swapna
0 0
5

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

Ask a Question

Related Lessons

Equation of the median of a triangle with coordinates A ( 5 -4 ) , B (2 , 5 ) and C (4 ,-1 ) passing through vertex A.
Median from vertex A bisects the opposite side B C. Let D be the mid point of BC. Coordinates of D ( 3 , 2) Using two point formula of straight line, we can find the equation of the median. A (5 ,-4...

B.Sudhakar

2 0
0
Why do most of the students face difficulty in maths ?
In my opinion, most of the students would have done great in maths in childhood (say 1st to 4th STD), not because they were studying well, it might be because the concepts were easy. But what happens...

Rakesh Shanbhag

0 0
0
Mastering Simple Calculations, my way!
Did you ever wonder how you can master simple calculations? 37 + 49? let's add 3 to 37 making it 40 and then subtracting 3 from 49 making it 46. Here it is 46 + 40 = 86 which is same as 37 + 49 = 86. ...
D

Deleted User

3 0
0
Basics of Probability
Probability is nothing but the chance of occurring probability scale is shown below Sum of all probabilities in sample space equal to one the probability of an event which can not occur is zero the...

Raj Kumar

0 0
0
Summary of 10th maths CBSE (imp topic is covered)
Hello friendsJust read all those stuff and try to remind it and if u have doubts in any of them then go through book and either call me 9710368667It's really helpful: 1)real number :for finding HCF and...

Deepak Kumar

0 0
0

Recommended Articles

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Mumbai
Class 10 Tuition in Chennai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Jaipur

Looking for Class 10 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 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

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

Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 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

ThinkVidya Learning Pvt Ltd © 2010-2024All Rights Reserved