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

Asked by Last Modified  

3 Answers

Learn Mathematics +1

Follow 2
Answer

Please enter your answer

Krishna Yeswanth

Tanx=(m+n)/2; sinx = (m-n)/2; Since cosec^2(x)-cot^2(x) = 1 (2/m-n)^2-(2/m+n)^2=1 (m^2-n^2)^2=16mn
Comments
Dislike Bookmark

Math magician

Writing angle l =θ, then question is -- ( tanθ + sinθ) = m and ( tanθ - sinθ) = n, show (m2 - n2) = 4√mn . now ( m+ n) = ( tanθ +sinθ +tanθ - sinθ ) = 2tanθ . now , ( m - n) =( tanθ + sinθ - tanθ +sinθ...
read more
Writing angle l =θ, then question is -- ( tanθ + sinθ) = m and ( tanθ - sinθ) = n, show (m2 - n2) = 4√mn . now ( m+ n) = ( tanθ +sinθ +tanθ - sinθ ) = 2tanθ . now , ( m - n) =( tanθ + sinθ - tanθ +sinθ ) = 2sinθ . so (m+n)×(m- n) = × 2sinθ OR ( m2 read less
Comments
Dislike Bookmark

Math magician

Writing angle l=β question is – (tanβ +sinβ) =m ,and (tanβ – sinβ) =n , to show (m2- n2) =4√ mn. Now , (m +n )= (tanβ +sinβ +tanβ – sinβ) = 2tanβ .now (m -n) = (tanβ +sinβ – tanβ+sinβ ) = 2 sinβ...
read more
Writing angle l=β question is – (tanβ +sinβ) =m ,and (tanβ – sinβ) =n , to show (m2- n2) =4√ mn. Now , (m +n )= (tanβ +sinβ +tanβ – sinβ) = 2tanβ .now (m -n) = (tanβ +sinβ – tanβ+sinβ ) = 2 sinβ . Now (m+n)(m-n) = (m2 – n2 ) =2tanβ.2sinβ = 4sinβtanβ . now , (mn) = (tanβ +sinβ)(tanβ- sinβ) = tan2β – sin2β = ( sin2β /cos2β ) - sin2β = ( sin2β -sin2β.cos2β)/cos2β ={ sin2β(1- cos2β)}/cos2β = Sin2β(sin2β/cos2β) = sin2β.tan2β = mn or sinβtanβ =√ mn . so (m2 - n2) = 4sinβtanβ = 4√ mn (proved). read less
Comments
Dislike Bookmark

View 1 more Answers

Related Questions

How do I pass 9th Grade?
Preparation and practice is the only key to success. So work hard and prepare well...
Rahul
0 0
6
Mensuration
Mensuration is the basic maths which deals with the formulas of areas, volumes ,measurements
Anil
Is tuition important for Class 10?
It depends upon your school teachers,how they prepare you for the board exams and furthermore if you have developed an interest for the subject you will be able to do it yourself,because the students become...
Neetu
0 0
6
A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being not a blue ball.
Total ball is 22. probability of 1 balls is drawn of 22 balls = 22c1 probability of no blue ball = 10c1+7c1/22c1 Ans is 17/22 Thank you.
Muskaan
0 0
6
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
7

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

Ask a Question

Related Lessons

Ashish Bhatia

0 0
0
Class-10 L-2 Polynomials Ex-2. 2 Q1 (iii)- (vi)

Ashish Bhatia

0 0
0
Class-10 L-2 Polynomials Ex-2.2 Q2 (i) II

Ashish Bhatia

0 0
0
How to Study?
The following tips are just my advice; they are not absolute. Choose those that will best fit you. Plan a regular time to study Choose a quiet place where you will not be distracted. When...
A

Amrtha S.

0 0
0
L-1-Real Numbers Ex-1.1 Q1 (v)

Megha N.

0 0
0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

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 >

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 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 >

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 Chennai
Class 10 Tuition in Mumbai
Class 10 Tuition in Pune
Class 10 Tuition in Lucknow
Class 10 Tuition in Noida
Class 10 Tuition in Gurgaon
Online Tuition Class 10

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