Hi friends, please solve the following problem and post the solution ? If Sin (3x) = (root 10) / 8 then Sin x = ?

Asked by Last Modified  

41 Answers

Learn Class XI-XII Tuition (PUC)

Follow 1
Answer

Please enter your answer

Sin(3x)=(root10)/8 Squaring both sides (Sin^2)3x=10/64=5/32 (1-cos6x)/2=5/32 1-cos6x=5/16 1-5/16=cos6x Cos3x2x=11/16 4(cos^3)2x-3cos2x=11/16 64(cos^3)2x-48cos2x_11=0 For cos2x =-1/4 the equation satisfies So cos2x=-1/4 is one of the solution You try to get the other2 solutions . They are...
read more
Sin(3x)=(root10)/8 Squaring both sides (Sin^2)3x=10/64=5/32 (1-cos6x)/2=5/32 1-cos6x=5/16 1-5/16=cos6x Cos3x2x=11/16 4(cos^3)2x-3cos2x=11/16 64(cos^3)2x-48cos2x_11=0 For cos2x=-1/4 the equation satisfies So cos2x=-1/4 is one of the solution You try to get the other2 solutions . They are >1 and<-1 for cosx the range lies between -1and1 Socos2x=-1/4 1-2(sin^2)x=-1/4 1+1/4=2{sin^2)x (Sin^2)x=5/8 Sinx=root(5/8)or. -root(5/8) Sin=root10/4 or. -root10/4 read less
Comments
Dislike Bookmark

sin 3x=root10/8 3X= sin-1 Root 10/8 X=1/3 sin -1 root 10/8 X= 23.28 sin X = 0.39
Comments
Dislike Bookmark

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Sin(3x)=(root10) / 8 (3x)=inverse Sin (root10/8) (3x)=23.284 (x) = 23.284 / 3 (x) = 7.761 then sin x = 0.135
Comments
Dislike Bookmark

Dedicated, well qualified mathematicians with a passion to nurture young minds in Mathematics and Physics

use the formula for sin 3A and solve the cubic in sin x
Comments
Dislike Bookmark

Trainer

3x = Arc Sin(root10/8) = 23.284 x = 1/3( 23.284) = 7.76 Sin (7.76) =0.135 approximately.
Comments
Dislike Bookmark

SME in Mathematics & Statistics

sin x = 0.135
Comments
Dislike Bookmark

Tutor

As it is a cubic equation it has 3 solutions. sin x = 0.791, -0.926, 0.135
Comments
Dislike Bookmark

Tution for Mathematics

solve like this... Sin(3x)=root10/8 (3x)=inverse of Sin (root10/8) you will get (3x)=23.2837 (x) = 23.2837/3 (x) = 7.76124 now take sin of x you will get = 0.13504
Comments
Dislike Bookmark

Tutor

sinx = 0.135
Comments
Dislike Bookmark

Tutor

0.1350
Comments
Dislike Bookmark

View 39 more Answers

Related Questions

What is the value of sin(360)?
0
Suman
Are there additional dimensions?
yes....11
Raj kumar
0 0
6
. Force between two similar point charges separated by a distance ‘r’ is FN. If the distance is doubled, force becomes __________. (FN, 2FN, 4FN, FN/4)
FN/4
Narendra Kumar
0 0
7
“In a electrical circuit, the potential difference across a conductor is directly proportional to the current flowing through it, provided the temperature of the conductor remains the same.” This is called __________. (Ohm’s Law, Coulomb’s Law, Guass’s Law, None of these)
Ohm’s Law
Narendra Kumar
0 0
8
Those material objects which do not allow the charge or electric current to pass through them are called __________. (Insulators, Conductors, Semi-conductors, none of these)
Insulators
Narendra Kumar
0 0
6

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

Ask a Question

Related Lessons

Permutations And Combinations
Q: There are 9 objects and 9 boxes. Out of nine objects, 5 can not fit in three small boxes. How many arrangements can vere made such that each object can put in one box only? Ans : As 5 objects can not...

Vijaya Kumar Jayanthi

1 0
0
Continuity

Subhankar Mukherjee

0 0
0
How to study acoountancy
Accountancy should read with concepts and great practical mindset. while doing accountancy you should always ask why to yourself if you want to more about accountancy just go for accountancy courses for class XI and class XII

Vineet Pareek

0 0
0
Mathematics With Practical Approach.
Mathematics is a subject, it requires not only practice but a deep understanding and fun in learning new things. Math is always can learn in a easy and interesting with PRAGMATIC way. Students must understand...

Ramesh Babu Mallela

0 0
0
Memorizing the Balance Sheet
Liability Side Soman Rocked Sajan Under Coconut Palm Soman - Share Capital Rocked - reserves & Surplus Sajan - Secured Loans Under - Un Secured Loans Coconut - Current Liabilities Palm - Provisions ...

Manish Gupta

0 0
0

Recommended Articles

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

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 Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

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 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Chennai
Class 12 Tuition in Mumbai
Class 12 Tuition in Kolkata
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Noida
Class 12 Tuition in Lucknow
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you