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

Tutor

m = tanX + sinX n = tanX - sinX m2-n2 = (tanX + sinX)2 - (tanX - sinX)2 = tan2X + sin2X + 2tanX.sinX - tan2X - sin2X +2tanX.sinX m2-n2 = 4tanX.sinX now mn = (tanX + sinX).(tanX - sinX) mn = tan2X - sin2X = (sin2X/cos2X) - sin2X = sin2X((1/cos2X) -1) = sin2X((1-cos2X)/cos2X) = sin2X. (sin2X/
read more
m = tanX + sinX n = tanX - sinX m2-n2 = (tanX + sinX)2 - (tanX - sinX)2 = tan2X + sin2X + 2tanX.sinX -tan2X - sin2X +2tanX.sinX m2-n2 = 4tanX.sinX now mn =(tanX + sinX).(tanX - sinX) mn =tan2X - sin2X = (sin2X/cos2X) - sin2X =sin2X((1/cos2X) -1) =sin2X((1-cos2X)/cos2X) =sin2X. (sin2X/ read less
Comments
Dislike Bookmark

Tutor

m = tanX + sinX n = tanX - sinX m2-n2 = (tanX + sinX)2 - (tanX - sinX)2 = tan2X + sin2X + 2tanX.sinX - tan2X - sin2X +2tanX.sinX m2-n2 = 4tanX.sinX now, mn = (tanX + sinX).(tanX - sinX) mn = tan2X - sin2X = (sin2X/cos2X) - sin2X = sin2X((1/cos2X) -1) = sin2X((1-cos2X)/cos2X) = sin2X. (sin2X/cos2X)...
read more
m = tanX + sinX n = tanX - sinX m2-n2 = (tanX + sinX)2 - (tanX - sinX)2= tan2X + sin2X + 2tanX.sinX -tan2X - sin2X +2tanX.sinX m2-n2= 4tanX.sinX now, mn =(tanX + sinX).(tanX - sinX) mn =tan2X - sin2X = (sin2X/cos2X) - sin2X =sin2X((1/cos2X) -1) =sin2X((1-cos2X)/cos2X) =sin2X. (sin2X/cos2X) =sin2X.tan2X (mn)1/2 = sinX.tanX We know that, m2-n2= 4tanX.sinX now replacing "tanX.sinX", m2-n2= 4(mn)1/2 read less
Comments
Dislike Bookmark

Related Questions

Can a second year BTech student take tuition for classes 9 and 10?
Yes , definitely because this time 2nd year students have enough time so then can take easily tuition for class 9 10 .
Ashok
0 0
8
What is a basis in linear algebra?
There are many different bases for a vector space, but all bases for the same vector space have the same number of vectors. This number is called the dimension of the vector space
Sagar
0 0
8
Which is best book for preparing algebra for JEE?
1)Objective Mathematics by R.D. Sharma 2)Algebra by Dr. S.K. Goyal 3)Arihant's Algebra for JEE Main and Advanced by Dr. SK Goyal.
User
0 0
8
Are tuitions mandatory in the class 10 CBSE to score a 98%?
No, if you are strong in all subjects and can take guidance from your parents.
Brahma
0 0
6
Is geometry easier than algebra 1?
yes, geometry is easier than algebra if ou can remember the theorems and apply them where and when required to proove/show/justify/explain (find soluion) what is asked in the question. It's like if you...
Sarala
0 0
8

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

Ask a Question

Related Lessons

Finding middle term of an A.p

Shivam Verma V.

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q20

Ashish Bhatia

0 0
0
Class-10-Real Numbers-Q1-PYqs-2021

Ashish Bhatia

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q6

Ashish Bhatia

0 0
0
AREA OF THE SEMI CIRCLE
The area of a semi circle is the total space inside the semi circle. If radius of the circle = r Then, Area of the circle = (1/2)xπr2 sqare units Here, π=22/7=3.14 aproximately Ex:- radius...

Ramakrishna Dhooli

0 0
0

Recommended Articles

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 >

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 >

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 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