UrbanPro
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 23 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

Cards, marked with numbers 5 to 50, are placed in a box and mixed throughly. A card is drawn from teh box at random. Find the probability that the number on the taken out card is: (i) a prime number less than 10. (ii) a number which is a perfect square." "
The sample size is 46 (i) The prime numbers less than 10 are 5 and 7. so the probability is 2/46 or 1/23. (ii) The perfect squares are 9,16,25, 36 and 49-five in all so the probability is 5/46
Akhil
0 0
5
The perimeter of one face of a wooden cube is 20 cm. Find its weight if 1 cm3 of wood weighs 8.25 g.
Let a be the side of cube,Perimeter of a wooden cube=20cm=4aWe know, Perimeter of a cube = 4a Therefore, 4a = 20cm a = 5cm=
Kanak
0 0
5
In a class test, the sum of marks obtained by P in Mathematics and Science is 28. Had he got 3 more marks in Mathematics and 4 marks less in Science, the product of marks obtained in the two subjects would have been 180? Find the marks obtained in two subjects separately.
Let the marks of mathematics be x Than marks of science be 28-x now according to question (x+3), (28-x-4) The product of new marks will be 180 So, (x+3) (28-x-4)=180 24x-x^2+72-3x=180 x^2-21x+108=0 x^2-12x-9x+108=0 x(x-12)-9(x-12)=0 (x-9)(x-12)=0 (x-9)=0...
Sanjay
0 0
7
Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by x2 – x + 1.
Remainder = x-1
Shiva
0 0
6
If cosec |=3x and cot |=3/x. then find the value of (x2-1/x2)
=1/9 use formula cosec² x -cot² x =1
Kevin

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

Ask a Question

Related Lessons

QUADRATIC EQUATIONS

Rahul J.

1 0
0
RATIONAL NUMBERS

Vikas Mehra

0 0
0
Formula of A P
an = a+(n-1)d Where an=last term a=first term d=common difference n=number of term Note: last term is denoted by an or l Sn=n/2[2a+(n-1)d Sn=sum of all terms

Manjeet Khajuria

0 0
0
Class 10 Algebra
1. Choose the correct option: If a + b + c = 0 then a3 + b3 + c3 is equal to_____A) 0B) abcC) 3abcD) 2abc 2. The 17th term of an AP is 17 and its 14th term is 29. the common difference of the AP isA)...
B

Binu T.

0 0
0
Trigonometry
1) Sinθ=perpendicular/hypotenuse 2) Cosθ=base/hypotenuse 3) Tanθ=perpendicular/base = Sinθ/Cosθ 4) Cotθ=base/perpendicular = Cosθ/Sinθ = 1/Tanθ 5)...
P

Prasannakumar Kalahasthi

0 0
0

Recommended Articles

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 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 >

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 >

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
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
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 © 2010-2025 All Rights Reserved