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

. The equation representing the interconversion of matter and energy is written as __________. (E = mc, E = mc2, E = mc3, All of these)
E = mc2
Narendra Kumar
0 0
6
Give the IUPAC Name of Benzene ?
Cyclohexa-1,3,5-triene
Kumar Upendra Akshay
Which state of India is the leading producer of coffee?
Among all the Indian States that produced more or less coffee, Karnataka shares almost 70% of the total production in the last financial year.
Mahender
0 0
7
In how many ways can the letters of the word "ASSASSINATION" be arranged so that all the S's are together ?
the word "ASSASSINATION" has 4S , 3A , 2I , 2N , T , O , 4S are together. this is considered as one block as 1 letter. we have 3A , 2I, 2N , 4S , T , O therefore , Number of words = Number of Permutations...
Kumar Upendra Akshay
What is meaning of dy/dx?
If y is a function of x then dy/dx corresponds to the change in y for a small increment in x as that change in x tends to zero.
Ravi Ranjan
0 0
9

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

Ask a Question

Related Lessons

Partnership Basic Questions
CHAPTER:2 Accounting for partnership firms: Basic concept State the conditions under which capital balances may change under the system of a Fixed Capital Account. A is partner in a firm. His capital...

Mahesh Kumar

1 0
0
Allow your brain to absorb new stuff
Are you interested in finding ways to learn new things faster? Do you want to become a more effective and efficient learner? If you are like many students, your time is limited so it is important to get...

Pradeep Sharma

0 0
0
Physical World And Measurement
There are four fundamental forces which govern both macroscopic and microscopic phenomena. There are:(i) Gravitational force (iii) Electromagnetic force(ii) Nuclear force (iv) Weak forceThe relative strengths...

Heena K.

0 0
0
For IIT/NEET Aspirants Class 12 Chemistry: Positron And Beta Decay.
Beta particle is a high energy, high speed electron or positron emitted in the radioactive decay of an atomic decay of an atomic nucleus, such as a potassium - 40 nucleus. The positron or antielectron...

Nidhi T.

0 0
0
Introduction To Accounting: Part 16: Matching Concept
Let’s start with an example to understand this concept. Here it is: Suppose I buy 10 Books for Rs 1,000. This means that 1 Book costed me. Now, if I sell 5 Books at Rs...

Nishant Kumar

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 Chennai
Class 12 Tuition in Hyderabad
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Class 12 Tuition in Gurgaon
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